Research-Stack/3-Mathematical-Models/MATH_MODEL_MAP.tsv

#	Model_Name	Family	Equation	Variables	Purpose	Location	Implemented	Status	Cross_Refs	Domain_Type	Bind_Class
0	UQGET_Hubble_Tension	Quantum Geometry	H0 = 73.3 ± 1.5 km s⁻¹ Mpc⁻¹ (68% CL)	H0=Hubble constant, Mpc=megaparsec	Unified Quantum-Geometric Emergence Theory - resolves Hubble tension via spacetime emergence from quantum entanglement dynamics. Aligns with Planck 2018, DESI 2024, Pantheon+ datasets.	https://www.academia.edu/128148840/Unified_Quantum_Geometric_Emergence_Theory_Entanglement_Driven_Spacetime_Revised_Version	Documented	✅	LAYER_G_ENERGY	geometric_bind
1	UQGET_Structure_Tension	Quantum Geometry	S8 = 0.810 ± 0.008	S8=structure formation parameter (σ8·Ωm^0.5)	UQGET resolves structure formation tension through non-equilibrium quantum physics and multi-field models.	https://www.academia.edu/128148840/Unified_Quantum_Geometric_Emergence_Theory_Entanglement_Driven_Spacetime_Revised_Version	Documented	✅	LAYER_G_ENERGY	geometric_bind
2	UQGET_Statistical_Fit	Quantum Geometry	χ²/d.o.f. = 1907.2/1949 (p = 0.78)	χ²=chi-squared statistic, d.o.f.=degrees of freedom, p=p-value	MCMC analysis demonstrates statistical robustness with p = 0.78 indicating good fit to observational data.	https://www.academia.edu/128148840/Unified_Quantum_Geometric_Emergence_Theory_Entanglement_Driven_Spacetime_Revised_Version	Documented	✅	LAYER_G_ENERGY	geometric_bind
3	LASSO_MOGAT_GAT_Propagation	Machine Learning	h_i^(l+1) = σ(Σ_{j∈N(i)} α_ij^(l) W^(l) h_j^(l))	h_i^(l)=node representation, N(i)=neighborhood, α_ij^(l)=attention coefficient, W^(l)=weight matrix, σ=activation	Graph Attention Network propagation for multi-omics cancer classification using PPI networks.	https://www.academia.edu/2837-4010/2/3/10.20935/AcadBiol7325	Documented	✅	LAYER_H_ALGEBRA	informational_bind
4	LASSO_MOGAT_Attention_Coefficient	Machine Learning	α_ij^(l) = softmax_j(LeakyReLU(a→^(l)^T [W^(l) h_i^(l) || W^(l) h_j^(l)]))	||=concatenation, a→^(l)=weight vector, LeakyReLU=activation	Attention coefficient computation for graph edges using softmax over neighbors.	https://www.academia.edu/2837-4010/2/3/10.20935/AcadBiol7325	Documented	✅	LAYER_H_ALGEBRA	informational_bind
5	Multiphasic_Allometry_LogLog_Scaling	Biology	Y = b·X + a (log-log space)	Y=log(metabolic rate), X=log(body mass), b=scaling exponent, a=intercept	Log-log regression for metabolic rate scaling with body mass across developmental stages. Different scaling exponents (b) indicate multiphasic ontogenetic allometry.	https://www.academia.edu/2837-4010/2/4/10.20935/AcadBiol7411	Documented	✅	LAYER_G_ENERGY	thermodynamic_bind
6	Multiphasic_Allometry_Quadratic	Biology	Y = a·X² + b·X + c (curvilinear)	Y=log(metabolic rate), X=log(body mass), a,b,c=regression coefficients	Quadratic regression for detecting nonlinear metabolic scaling. First derivative dY/dX = 2aX + b gives instantaneous slope.	https://www.academia.edu/2837-4010/2/4/10.20935/AcadBiol7411	Documented	✅	LAYER_G_ENERGY	thermodynamic_bind
7	Multiphasic_Allometry_Instantaneous_Slope	Biology	dY/dX = 2aX + b (where Y = aX² + bX + c)	X=log(body mass), a,b=quadratic coefficients	First derivative of quadratic regression gives instantaneous scaling slope at any body size. Used to detect ontogenetic shifts in metabolic scaling.	https://www.academia.edu/2837-4010/2/4/10.20935/AcadBiol7411	Documented	✅	LAYER_G_ENERGY	thermodynamic_bind
8	Affine_Mapping_LTSF_Linear_Layer	Time Series	Y = X·W + b	X=input historical time series, Y=prediction, W=transition matrix (R^n×m), b=bias (R^1×m)	Single linear layer (affine transformation) for long-term time series forecasting. Dominates forecasting performance on periodic signals.	https://www.academia.edu/3071-0286/2/2/10.20935/AcadAI8236	Documented	✅	LAYER_H_ALGEBRA	informational_bind
9	Affine_Mapping_Time_Series_Decomposition	Time Series	x(t) = s(t) + f(t) + ε	s(t)=seasonality, f(t)=trend, ε=noise	Time series decomposition into seasonal and trend components. Basis for understanding why affine mapping works well on periodic data.	https://www.academia.edu/3071-0286/2/2/10.20935/AcadAI8236	Documented	✅	LAYER_H_ALGEBRA	informational_bind
10	Affine_Mapping_Periodic_Theorem	Time Series	x(t) = s(t) = s(t-p) where p ≤ n	p=period, n=input length, t=time index	For seasonal time series with period p, affine mapping has analytical solution when input length ≥ period. Explains competitive performance on seasonal benchmarks.	https://www.academia.edu/3071-0286/2/2/10.20935/AcadAI8236	Documented	✅	LAYER_H_ALGEBRA	informational_bind
11	Affine_Mapping_Scaled_Periodic	Time Series	x(t) = a·x(t-p) + c	a=scaling factor, c=translation factor	Extended periodic model with scaling and translation. Still has closed-form solution for affine mapping. Handles amplitude-modulated periodic signals.	https://www.academia.edu/3071-0286/2/2/10.20935/AcadAI8236	Documented	✅	LAYER_H_ALGEBRA	informational_bind
12	MOF_CO2_Reduction_2e_Electrochemistry	Chemistry	CO2 + 2H+ + 2e- → CO + H2O	E=applied potential, n=2 electrons	2-electron CO2 reduction to carbon monoxide. Primary product in electrocatalysis with Cu-based catalysts.	https://www.academia.edu/2998-3665/2/1/10.20935/AcadEnergy7604	Documented	✅	LAYER_G_ENERGY	thermodynamic_bind
13	MOF_CO2_Reduction_Formic_Acid	Chemistry	CO2 + 2H+ + 2e- → HCOOH	E=applied potential, n=2 electrons	2-electron CO2 reduction to formic acid. Major product in electrocatalysis, especially with Zr-MOF catalysts.	https://www.academia.edu/2998-3665/2/1/10.20935/AcadEnergy7604	Documented	✅	LAYER_G_ENERGY	thermodynamic_bind
14	MOF_CO2_Reduction_6e_Methanol	Chemistry	CO2 + 6H+ + 6e- → CH3OH + H2O	E=applied potential, n=6 electrons	6-electron CO2 reduction to methanol. Highest methanol rate achieved by Au10@ZIF-67 in photocatalysis.	https://www.academia.edu/2998-3665/2/1/10.20935/AcadEnergy7604	Documented	✅	LAYER_G_ENERGY	thermodynamic_bind
15	MOF_CO2_Reduction_8e_Methane	Chemistry	CO2 + 8H+ + 8e- → CH4 + 2H2O	E=applied potential, n=8 electrons	8-electron CO2 reduction to methane. Highest methane rate achieved by MIL-101(Cr)-Ag in photocatalysis.	https://www.academia.edu/2998-3665/2/1/10.20935/AcadEnergy7604	Documented	✅	LAYER_G_ENERGY	thermodynamic_bind
16	COUCH_Equation	Chaotic Dynamics	ẍ_i + γẋ_i + ω_i²x_i + Σ_j κ_ij(x_i - x_j) = F(t)	γ=damping, ω_i=natural frequency, κ_ij=coupling strength, F(t)=forcing function	Coupled Oscillator for Universal Chaotic Hysteresis - models non-linear coupled oscillator systems exhibiting chaotic "super freak" behavior and path-dependent hysteresis loops. Phase space trajectories exhibit strange attractors.	docs/geometry/COUCH_EQUATION.md	Documented	✅	LAYER_E_VERIFICATION	thermodynamic_bind
1	Intrinsic_Load_LI	Cognitive Load	L_I(x) = -Σ_{b=0}^{255} p(b|x) log₂ p(b|x)	p(b|x) = empirical byte distribution	Shannon entropy of byte distribution; irreducible complexity	core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md	Python	✅	2,71,40	LAYER_A_COMPRESSION	informational_bind
2	NES_GCL_Square_Wave_Compression	DeltaGCL	C_ratio = U_size / C_size = 1.48× (achieved)	U_size = 4N bytes (N frames), C_size = Σ(δ+P+F)	Compress NES square wave parameters (25 bits/frame) using delta encoding, PTOS dictionary patterns, variable-length GCL for cartridge streaming	scripts/nes_gcl_square_stream.py	Python	✅	LAYER_I_ENCODING	informational_bind
3	NES_OISC_GCL_LUT_Architecture	OISC	JTAG→SUBLEQ→GCL→LUT→APU	TCK=CLK, TMS=OUT, TDI=IN, TDO=bitbang, SUBLEQ: M[b]=M[b]-M[a]; if M[b]≤0 goto c	NES controller port JTAG bitbanging controls SUBLEQ OISC for GCL decompression into LUT, NES 6502 reads LUT for square wave generation. Maximum retro insanity: 1985 NES + 1990s JTAG + minimalist OISC + nanokernel GCL	scripts/nes_oisc_gcl_lut.py, scripts/nes_controller_jtag_bitbang.py	Python/6502/SUBLEQ	✅	LAYER_I_ENCODING	informational_bind
4	Unified_Shader_GCL_Audio_Stack	MinimalOISC	Shader(x,y,t,θ)→palette + GCL→LUT + SUBLEQ→compute	SUBLEQ: M[b]=M[b]-M[a]; if M[b]≤0 goto c, Shader: f(x,y,t,θ)=color, GCL: Δ+PTOS+VLE	Unified computational stack collapsing blitter, GCL compression, and square wave generator into minimal OISC with NES palette generator as proto-shader. 64K unified memory: shader params, palette LUT, GCL buffer, audio LUT, SUBLEQ code, I/O. Proto-shader acts as fragment shader for color generation.	scripts/unified_shader_gcl_audio_stack.py	Python	✅	LAYER_I_ENCODING	informational_bind
5	Unified_Cartridge_Controller_Stack	CartridgeOISC	Cartridge_SUBLEQ→GCL→Shader→Audio→ControllerPort→NES	SUBLEQ: M[b]=M[b]-M[a]; if M[b]≤0 goto c, VoltageShifter: V_cartridge↔V_NES, ControllerPort: CLK/OUT/IN bidirectional	Unified cartridge CPU (SUBLEQ) + GCL compression + proto-shader + square wave generation streaming to NES via controller port with voltage level shifting (3.3V ↔ 5V). Cartridge handles all computation, NES is I/O terminal. Controller port bidirectional communication with voltage shifter for level conversion.	scripts/unified_cartridge_controller_stack.py, scripts/nes_controller_port_reader.asm	Python/6502/SUBLEQ	✅	LAYER_I_ENCODING	informational_bind
6	Topological_NanoKernel_UART_Stack	NanoKernel	1-Wire_UART→GCL_Admission→Entropy→Metaprobe→Triumvirate→NES	UART: start+8+stop bits, GCL: H(data)≥threshold, Metaprobe: resonance_score, Triumvirate: B/W/J consensus	Topological nano kernel protecting cartridge-NES 1-wire UART communication. GCL admission gate validates signatures and entropy, metaprobe audit checks Lawful signal resonance, Triumvirate (Builder-Judge-Warden) provides consensus. Only lawful, validated data reaches NES APU. 9600 baud single data line with voltage shifter (3.3V ↔ 5V).	scripts/nanokernel_cartridge_uart_stack.py	Python	✅	LAYER_I_ENCODING	informational_bind
7	NES_Sound_Line_DSP_Math	AnalogDSP	Value↔AudioSignal(f,A,D) + APU_Operations→Result	Encode: v→f·A·sign, Decode: f·A·sign→v, APU: mix=add, mod=mul, phase=sub, envelope=∫, sweep=d/dx	Hijack NES audio output lines (square, triangle, noise, DPCM) for DSP mathematical operations. Encode values as audio signals (frequency=magnitude, amplitude=precision, duty=sign). Use APU mixing/filtering/modulation as computational operations (addition=mix, multiplication=AM, subtraction=phase inversion, integration=envelope, differentiation=sweep). Analog computation disguised as audio output. Horrific: repurposes audio hardware for general computation. Wonderful: novel analog-digital hybrid computing on retro hardware.	scripts/nes_sound_line_dsp_math.py	Python	✅	LAYER_K_SIGNAL	informational_bind
8	Unified_Metaprobe_Collapse	Metaprobe	All_Systems→Single_Metaprobe→Unified_Audit	Resonance: R(data,channel), Coherence: C(data), Entropy: H(data), Lawful: R≥θ ∧ C≥θ	Collapses metaprobe functionality across all NES systems (GCL compression, OISC LUT, shader stack, cartridge controller, nanokernel UART, DSP math) into single unified metaprobe engine. Channel-specific resonance checking (UART frames, JTAG TAP states, audio signals, GCL markers, SUBLEQ instructions, nanokernel patterns). Unified structural coherence validation and entropy evaluation. Cross-system state tracking and unified audit trail. Single substrate for Lawful signal resonance across entire NES architecture.	scripts/unified_metaprobe_collapse.py	Python	✅	LAYER_I_ENCODING	informational_bind
9	Final_Unified_Math_Collapse	UnifiedMath	All_Math→Single_Substrate→Unified_Computation	ΔGCL+PTOS+VLE+Load+Physics+Geometry→R+C+H+M→Unified	Final collapse of all mathematical substrate into single unified metaprobe. Folds DeltaGCL diff enhancements (delta encoding, PTOS dictionary, VLE), cognitive load math (Intrinsic, Extraneous, Germane, Routing, Memory, Total, Efficiency), pressure piling physics (KDA equation P(i)=P₀·χ^i), PIST geometry (Perfectly Imperfect Square Theory), and all NES systems into one unified computational substrate. 18 total channels with channel-specific resonance checking, structural coherence, entropy evaluation, and math-specific scoring. NES systems + Math models = Unified computational stack. Maximum retro insanity: 1985 NES + nanokernel + DSP + all math in one substrate.	scripts/final_unified_math_collapse.py	Python	✅	LAYER_I_ENCODING	informational_bind
10	Voltage_Computational_Substrate	VoltageMath	Voltage→Value + Operations→Result	Val→Val/scale, V_sum=V1+V2, V_mul=(V1/V_ref)·(V2/V_ref)·V_ref, V_exp=exp(V/V_ref)·V_ref	Physical voltage levels as computational substrate. Voltage magnitude = numerical value. Voltage sum = addition. Voltage ratio = multiplication/division. Voltage difference = subtraction. Voltage gradient = derivative. Voltage integral = integration. Voltage-aware nanokernel validates voltage safety and resonance. Zero instruction overhead - physics does the math. Horrific: physical substrate becomes computer. Wonderful: parallel computation at speed of light. Maximum retro insanity: voltage = math.	scripts/voltage_computational_substrate.py	Python	✅	LAYER_K_SIGNAL	informational_bind
11	Palette_DSP_Slave	VideoSynth	DSP_Math→Palette_Parameters→Video_Palette	f→x (red), A→y (green), D→t (blue), DSP_ops→modulation	NES palette generator slaved to DSP math on audio lines. Audio signals (frequency, amplitude, duty cycle) map to palette generator parameters (x, y, t). DSP operations (add, multiply, integrate, differentiate) modulate palette before generation. Audio math controls video palette in real-time. Video synthesizer controlled by audio computation. Cross-domain repurposing (audio → video). Horrific: audio DSP math controls video palette. Wonderful: generative visuals from DSP operations. Maximum retro insanity: audio math = video palette.	scripts/palette_dsp_slave.py	Python	✅	LAYER_K_SIGNAL	informational_bind
12	Quad_Sampled_Scanlines	TemporalSuperSample	4×_Vertical→256×960	Offsets: 0.0,0.25,0.5,0.75, DSP_interp→bicubic, Voltage→timing	Quad-sample each scanline 4 times with subpixel offsets. DSP math interpolates between samples. Voltage levels control sampling timing. Effective resolution: 256×240 physical → 256×960 perceived (4x vertical). Temporal supersampling without hardware modification. Bicubic interpolation between subpixel samples. Horrific: 4x temporal supersampling on 1x hardware. Wonderful: effective 4x vertical resolution increase. Maximum retro insanity: quad sampling = 4x resolution.	scripts/quad_sampled_scanlines.py	Python	✅	LAYER_K_SIGNAL	informational_bind
13	Microgrid_Voxel_Emulation	VirtualDisplay	Microgrid→640×480+Differential_Updates→Effective_640×480	NES:256×240→MG:640×480, Scale:2.5×2, Voxel:Δ_color, DSP:priority, Voltage:threshold	640×480 voxel microgrid emulates higher resolution display. NES renders at 256×240 native. Map NES pixels to microgrid voxels (2.5×2 scaling). Only update voxels that change (differential updates). DSP math calculates change priority. Voltage computation controls update threshold. Update efficiency: ~50% (only changed voxels). Effective 640×480 resolution without changing NES PPU. Virtual display on 1× hardware. Modern GPU-like differential updates on retro hardware. Horrific: virtual 640×480 on 256×240 hardware. Wonderful: differential voxel updates for efficiency. Maximum retro insanity: microgrid = virtual display.scripts/microgrid_voxel_emulation.py	Python	✅	LAYER_K_SIGNAL	informational_bind
2	Extraneous_Load_LE	Cognitive Load	L_E(x) = BPB(x,w_prior) - BPB*(x) = (1/n)Σ_i log₂(P_w*(x_i)/P_wprior(x_i))	BPB=bits-per-byte, w_prior=prior weights, w*=optimal	Cost of architectural mismatch; penalty for suboptimal routing	core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md	Python	✅	1,3,6,8	LAYER_A_COMPRESSION	informational_bind
3	Germane_Load_LG	Cognitive Load	L_G(x,t) = Σ_{s=1}^{S} γ^s · ΔL_E(x_s,t+1) ≈ τ·L_E·log(S+1)/log(S_max+1)	γ=temporal discount, τ=trust, S=engram support	Productive learning effort reducing future extraneous load	core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md	Python	✅	2,6,73	LAYER_B_ROUTING	informational_bind
4	Routing_Load_LR	Cognitive Load	L_R(x) = Σ_j c_j·1[f_j computed] + Σ_{l=1}^{D(x)} log₂|M_l|	d=9 feature dims, c_j=feature cost, D=tree depth, M_l=candidates	Computational cost of classification and method selection	core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md	Python	✅	6,16-23	LAYER_B_ROUTING	informational_bind
5	Memory_Load_LM	Cognitive Load	L_M(x) = log₂|E| + α·1[hit] + β + λ·|E|/|E_max|	|E|=engram store size, α/β=retrieval/update costs, λ=eviction pressure	Burden of storing, retrieving, and updating routing memory	core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md	Python	✅	6,10,30	LAYER_B_ROUTING	informational_bind
6	Total_Cognitive_Load	Cognitive Load	L_total = λI·l̂I + λE·l̂E - λG·l̂G + λR·l̂R + λM·l̂M (Σλ=1, λG≤λE)	5 normalized load components with weighting coefficients	Aggregate processing burden; combines all load classes	core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md	Python	✅	1,2,3,4,5,7,8,9,74	LAYER_A_COMPRESSION	informational_bind
7	Cognitive_Efficiency	Cognitive Load	η(x) = l̂I(x) / (l̂I + l̂E + l̂R + l̂M + ε)	Ratio of intrinsic to total normalized load	Routing efficiency (1=perfect, 0=maximum waste)	core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md	Python	✅	6	LAYER_A_COMPRESSION	informational_bind
8	Regret_Adjusted_Load	Cognitive Load	L_ρ(x) = L_total(x) · (1 + ρ(x)/ρ_max)	ρ=BPB regret, ρ_max=max regret	Load penalized by historical performance on similar inputs	core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md	Python	✅	2,6	LAYER_A_COMPRESSION	informational_bind
9	Basin_Conditional_Load	Cognitive Load	L(x|B) = L_I(x) + L_E(x|B) + L_R^B(x)	w_B=basin-optimal weights	Load conditioned on attractor basin membership	core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md	Python	✅	1,2,4,12	LAYER_A_COMPRESSION	informational_bind
10	MoE_Predictor_Distribution	Cognitive Load	P_w(x_i|x_{<i}) = Σ_{j=1}^{k} w_j · P_{m_j}(x_i|x_{<i})	k=predictors, w∈Δ^{k-1} simplex	Combines multiple compression predictors into mixed distribution	core/intrinsic/specs/COGNITIVE_LOAD_FUNCTIONS_SPEC.md	Python	✅	1,2	LAYER_A_COMPRESSION	informational_bind
11	Pressure_Piling	KDA Physics	P(i) = P₀ · χ^i (χ ≈ 1.63)	P₀=1.0 GPa, i=shock iteration, χ=Dodecahedral Piling Gain	Sequential shock pressure amplification via Mach stem focusing	core/intrinsic/formalisms/9_KDA_Equation_Manifest.md	Documented	✅	12,15	LAYER_E_VERIFICATION	thermodynamic_bind
12	Hugoniot_Temperature	KDA Physics	T_peak = T₀ · (P_peak/P₀)^0.65	T₀=293.15K, γ≈1.66, exponent=0.65	Non-isentropic temperature jump across shock fronts; predicts ~13,446K	core/intrinsic/formalisms/9_KDA_Equation_Manifest.md	Documented	✅	11,14,51	LAYER_G_ENERGY	thermodynamic_bind
13	Pressure_Ionization	KDA Physics	α(P) = 1 - exp(-k(P - P_MIT))	P_MIT≈138-155 GPa, k=rate constant	Insulator-to-metal transition via electronic band overlap	core/intrinsic/formalisms/9_KDA_Equation_Manifest.md	Documented	✅	15	LAYER_G_ENERGY	thermodynamic_bind
14	Energy_Recovery_Efficiency	KDA Physics	η_net = (W_rec - W_erasure) / W_in; W_erasure ≥ k_B·T·ln2 per bit	k_B=Boltzmann, T=T_peak=13,446K	Maxwell's Demon energy recovery after erasure cost	core/intrinsic/formalisms/9_KDA_Equation_Manifest.md	Documented	✅	12,54,55	LAYER_E_VERIFICATION	thermodynamic_bind
15	Q_Factor	KDA Physics	Q = (E_flash + E_enthalpy + E_recovered - W_demon) / (E_work + E_loss) > 1.0	Target Q≈1.05	Global energy balance; net gain threshold	core/intrinsic/formalisms/9_KDA_Equation_Manifest.md	Documented	✅	11,12,13,14	LAYER_E_VERIFICATION	thermodynamic_bind
16	Coupling_Weight	w_ij	GWL Rotation	w_ij = g(Δθ,Δφ,χ_i,χ_j) · h(Δp)	θ=azimuthal(16), φ=polar(8), χ=chirality, Δp=position delta	Mu-seed geometric compatibility strength	docs/gwl/GWL_ROTATIONAL_COUPLING_AND_LOCAL_INTERACTION_LAW_V1.md	Rust	✅	LAYER_C_TOPOLOGY	geometric_bind	unknown
17	Rotational_Alignment	GWL Rotation	g = cos(Δθ·2π/16) · cos(Δφ·π/8) · (1 - 2|χ_i - χ_j|)	θ∈{0..15}, φ∈{0..7}, χ∈{0,1}	Frame orientation compatibility	docs/gwl/GWL_ROTATIONAL_COUPLING_AND_LOCAL_INTERACTION_LAW_V1.md	Rust	✅	16,25	LAYER_C_TOPOLOGY	geometric_bind
18	Spatial_Proximity	GWL Rotation	h = exp(-|Δp|²/(2σ²)) · 1_{|Δp|<r_max}	σ=coupling length, r_max=coupling radius	Distance decay function	docs/gwl/GWL_ROTATIONAL_COUPLING_AND_LOCAL_INTERACTION_LAW_V1.md	Rust	✅	16,25	LAYER_C_TOPOLOGY	geometric_bind
19	Interaction_Force	GWL Rotation	F_ij = w_ij · (a_j - a_i) · Δp_ij / |Δp_ij|	a=activation, Δp=position delta	Activation flow between neighbors	docs/gwl/GWL_ROTATIONAL_COUPLING_AND_LOCAL_INTERACTION_LAW_V1.md	Rust	✅	16,20,21,22	LAYER_H_ALGEBRA	geometric_bind
20	Energy_Function	GWL Rotation	E(f) = -½ Σ_{i,j} w_ij · a_i · a_j + Σ_i V(a_i)	V(a)=potential (e.g., λa⁴)	Frame field energy landscape	docs/gwl/GWL_ROTATIONAL_COUPLING_AND_LOCAL_INTERACTION_LAW_V1.md	Rust	✅	19,21,22,23	LAYER_G_ENERGY	geometric_bind
21	Frame_Evolution_Discrete	GWL Rotation	θ_i(t+1) = θ_i(t) + α_θ·F_{i,θ} + ξ_θ	α=learning rate, ξ=noise	Discrete-time state update	docs/gwl/GWL_ROTATIONAL_COUPLING_AND_LOCAL_INTERACTION_LAW_V1.md	Rust	✅	19,22	LAYER_H_ALGEBRA	geometric_bind
22	Frame_Evolution_Continuous	GWL Rotation	df_i/dt = -α ∇_{f_i} E(f) + ξ(t)	α=step size, ξ(t)=Langevin noise	Continuous dynamics; gradient descent on energy	docs/gwl/GWL_ROTATIONAL_COUPLING_AND_LOCAL_INTERACTION_LAW_V1.md	Rust	✅	20,21,23	LAYER_H_ALGEBRA	geometric_bind
23	Energy_Monotonicity_Theorem	GWL Rotation	dE/dt = -α Σ_i |∇_{f_i} E|² ≤ 0	—	Proves energy decreases monotonically; convergence guarantee	docs/gwl/GWL_ROTATIONAL_COUPLING_AND_LOCAL_INTERACTION_LAW_V1.md	Rust	✅	20,22	LAYER_H_ALGEBRA	geometric_bind
24	Temporal_Weight	GWL Temporal	w_ij^(τ) = cos(2π(τ_j - τ_i)/16)	τ∈{0..15} (4 bits)	Temporal phase coupling strength	docs/gwl/GWL_TEMPORAL_DIMENSION_AND_T_VARIABLE_FORMALISM_V1.md	Documented	✅	16,25,26	LAYER_C_TOPOLOGY	geometric_bind
25	Complete_Weight_5Factor	GWL Temporal	w_ij = cos(Δθ·22.5°)·cos(Δφ·22.5°)·cos(2πΔτ/16)·(1-2|Δχ|)·exp(-|Δp|²/2σ²)	θ,φ,τ,χ,Δp combined	Full spatial+temporal+rotational+chiral+proximity coupling	docs/gwl/GWL_TEMPORAL_DIMENSION_AND_T_VARIABLE_FORMALISM_V1.md	Documented	✅	16,17,18,24,26	LAYER_C_TOPOLOGY	geometric_bind
26	Temporal_Force	GWL Temporal	F_ij^(τ) = w_ij^(τ) · (a_j - a_i) · sgn(τ_j - τ_i)	—	Information flow from past to future	docs/gwl/GWL_TEMPORAL_DIMENSION_AND_T_VARIABLE_FORMALISM_V1.md	Documented	✅	24,25,27	LAYER_C_TOPOLOGY	geometric_bind
27	Temporal_Evolution	GWL Temporal	τ_i(t+1) = τ_i(t) + α_τ·F_{i,τ} + ω₀	ω₀=intrinsic temporal frequency	Temporal phase evolution with intrinsic oscillator	docs/gwl/GWL_TEMPORAL_DIMENSION_AND_T_VARIABLE_FORMALISM_V1.md	Documented	✅	26,28	LAYER_C_TOPOLOGY	geometric_bind
28	Temporal_Stability	GWL Temporal	d/dt(τ_j - τ_i) = 0 for all i,j	—	Locked temporal attractor condition	docs/gwl/GWL_TEMPORAL_DIMENSION_AND_T_VARIABLE_FORMALISM_V1.md	Documented	✅	27,29	LAYER_D_INVARIANTS	geometric_bind
29	Temporal_Entropy	GWL Temporal	H_τ = -Σ_{k=0}^{15} p(τ=k) log₂ p(τ=k)	0≤H_τ≤4 bits	Measure of temporal disorder (0=synchronized, 4=max)	docs/gwl/GWL_TEMPORAL_DIMENSION_AND_T_VARIABLE_FORMALISM_V1.md	Documented	✅	28	LAYER_C_TOPOLOGY	geometric_bind
30	Mu_Seed_Cardinality	GWL State Space	|S_μ| = 8×8×16×16×8×8×2×16×8×4 = 8,589,934,592 ≈ 2^33	10 independent fields	Complete enumeration of local mu-seed configuration space	docs/gwl/GWL_TOTAL_STATE_SPACE_AND_CARDINALITY_LEDGER_V1.md	Documented	✅	31,32	LAYER_D_INVARIANTS	geometric_bind
31	Fractal_Occupancy	GWL State Space	|P_occ| = ρ_occ · N^{d_H} (d_H ≈ 2.7268)	N=64 → |P_occ|≈84,000 vs 262,144 raw	Effective addressable positions in Menger sponge lattice	docs/gwl/GWL_TOTAL_STATE_SPACE_AND_CARDINALITY_LEDGER_V1.md	Documented	✅	30,32,49	LAYER_D_INVARIANTS	geometric_bind
32	Total_Formal_State_Space	GWL State Space	|S_total| ≈ 2^{5,900,000}	μ-seed: 2,772,000 bits + edges: 2,016,000 + rotation: 924,000 + boot: 8,000 + registers: 133,000	Upper bound on all possible GWPL configurations	docs/gwl/GWL_TOTAL_STATE_SPACE_AND_CARDINALITY_LEDGER_V1.md	Documented	✅	30,31,33,5	LAYER_B_ROUTING	geometric_bind
33	Reachable_State_Space	GWL State Space	|S_reachable| ≈ |S_total| / 10^{29}	Constraints: geometric 10^6, convergence 10^{12}, energy 10^3, chirality 10^2, TTM 10^6	State space satisfying all physical and computational constraints	docs/gwl/GWL_TOTAL_STATE_SPACE_AND_CARDINALITY_LEDGER_V1.md	Documented	✅	32,59	LAYER_A_COMPRESSION	geometric_bind
34	Wave_Packet_State	GWL Throat	P = (ΔV, Δt, π, τ, χ, C, A)	7-tuple: volume, time, rotation, temporal, chirality, confidence, activation	Complete state of computational packet traversing throat	docs/gwl/GWL_WAVE_PACKET_THROAT_ARCHITECTURE_V1.md	Documented	✅	35,36	LAYER_C_TOPOLOGY	geometric_bind
35	Throat_Condition	GWL Throat	T_throat = {(i,j) | Φ_topo(i,j) >> Φ_metric(i,j)}	topological adjacency >> metric distance	Defines non-local transport corridor	docs/gwl/GWL_WAVE_PACKET_THROAT_ARCHITECTURE_V1.md	Documented	✅	34,36,37	LAYER_C_BRAID	geometric_bind
36	Multi_Factor_Coupling_Weight	GWL Throat	w_ij = w_p · w_π · w_τ · w_χ · w_topo · w_σ	6 coupling factors (spatial, rotational, temporal, chirality, topological, stress)	Comprehensive coupling evaluation during packet propagation	docs/gwl/GWL_WAVE_PACKET_THROAT_ARCHITECTURE_V1.md	Documented	✅	25,34,35	LAYER_C_BRAID	geometric_bind
37	Holonomy_Accumulation	GWL Throat	Hol(γ_loop) = ∮_γ T(p) dp	T(p)=torsion tensor, γ=closed loop	Phase accumulated when transporting vector around closed loop	docs/gwl/GWL_WAVE_PACKET_THROAT_ARCHITECTURE_V1.md	Documented	✅	38,78	LAYER_C_BRAID	geometric_bind
38	Non_Euclidean_Distance	GWL Throat	d_N = path_length(γ_ij) + curvature_penalty(κ) + torsion_cost(T); d_T = d_E + λ_N·d_N	Euclidean + topological combined	Topology-aware distance for routing through multi-manifold structures	docs/gwl/GWL_MANIFOLD_INTERSECTION_JOIN_AND_TOPOLOGICAL_ADDRESSING_V1.md	Documented	✅	37,63	LAYER_C_TOPOLOGY	geometric_bind
39	Trixal_Axes	Thermodynamic	TrixalAxes = (thermal, work, irreversibility), each ∈ [0,1]; |axes| = √(th² + w² + ir²)	3D thermodynamic phase space	Phase space coordinates for process tracking	core/gwl-vm/src/thermo/mod.rs	Rust	✅	40,42,50	LAYER_G_ENERGY	thermodynamic_bind
40	Shannon_Entropy	Thermodynamic	H = -Σ_b p(b) log₂ p(b), where p(b)=count(b)/len	Byte distribution, H ∈ [0,8] bits/byte	Information content measurement	core/gwl-vm/src/thermo/entropy_engine.rs	Rust	✅	1,39,41,42,43	LAYER_G_ENERGY	thermodynamic_bind
41	Kolmogorov_Estimate	Thermodynamic	K_est = (8 - H) / 8	From Shannon entropy	Rough estimate of structure via compressibility	core/gwl-vm/src/thermo/entropy_engine.rs	Rust	✅	40,42	LAYER_G_ENERGY	thermodynamic_bind
42	Thermodynamic_Entropy	Thermodynamic	S_thermo = H + K_est · 0.1	Shannon + Kolmogorov contribution	Combined information thermodynamics	core/gwl-vm/src/thermo/entropy_engine.rs	Rust	✅	40,41,43,55	LAYER_G_ENERGY	thermodynamic_bind
43	Entropy_Gradient	Thermodynamic	dS/dt = (S_current - S_previous) / Δt	Time derivative	Tracks rate of entropy change over time	core/gwl-vm/src/thermo/entropy_engine.rs	Rust	✅	42,55	LAYER_H_ALGEBRA	thermodynamic_bind
44	Mutual_Information_Extracted	Thermodynamic	MI = H_initial - H_current	Difference in Shannon entropy	Work performed by compression; information extracted	core/gwl-vm/src/thermo/entropy_engine.rs	Rust	✅	40,71	LAYER_A_COMPRESSION	thermodynamic_bind
45	Carnot_Efficiency	Thermodynamic	η_Carnot = 1 - T_cold / T_hot	Absolute temperatures	Maximum theoretical thermodynamic efficiency	core/gwl-vm/src/thermo/mod.rs	Rust	✅	46,51,54	LAYER_B_ROUTING	thermodynamic_bind
46	Work_Extraction	Thermodynamic	W_actual = Q_absorbed · η_Carnot · 0.7	70% of Carnot limit	Model computation as thermodynamic work extraction cycle	core/gwl-vm/src/thermo/heat_engine.rs	Rust	✅	45,55	LAYER_C_TOPOLOGY	thermodynamic_bind
47	Irreversibility_Metric	Thermodynamic	score = (entropy_production + path_asymmetry + time_reversal_violation) / 3	Three irreversibility components	Quantifies thermodynamic irreversibility of process trajectory	core/gwl-vm/src/thermo/process_shape.rs	Rust	✅	48,49	LAYER_G_ENERGY	thermodynamic_bind
48	Thermodynamic_Length	Thermodynamic	L_thermo = Σ_i distance_i · (1 + irreversibility_i)	Weighted by dissipation	Dissipative trajectory length accounting for thermodynamic cost	core/gwl-vm/src/thermo/process_shape.rs	Rust	✅	47,49	LAYER_B_ROUTING	thermodynamic_bind
49	Thermodynamic_Depth	Thermodynamic	depth = entropy_production · ln(time_steps)	Combined dissipation × trajectory length	Complexity measure	core/gwl-vm/src/thermo/mod.rs	Rust	✅	31,47,48	LAYER_G_ENERGY	thermodynamic_bind
50	Stamp_Code	Thermodynamic	SHA256(axes || traj_hash || hardware_entropy || timing_jitter || process_nonce)	Cryptographic hash of thermodynamic state	Unique non-reproducible process fingerprint	core/gwl-vm/src/thermo/trixalating_stamp.rs	Rust	✅	39,42	LAYER_B_ROUTING	thermodynamic_bind
51	Arrhenius_Temperature_Factor	Informatic Stress	AF = exp(E_a / (k_B · T))	E_a=activation energy (eV), k_B=8.617e-5 eV/K	Failure rate temperature acceleration	core/gwl-vm/src/thermo/informatic_stress.rs	Rust	✅	12,45,52,59	LAYER_G_ENERGY	thermodynamic_bind
52	Blacks_Equation_EM	Informatic Stress	EM_risk = J^n · exp(E_a / (k_B · T)) / 10^{12}	J=current density, n=exponent (2.0)	Electromigration failure risk	core/gwl-vm/src/thermo/informatic_stress.rs	Rust	✅	51,59	LAYER_G_ENERGY	thermodynamic_bind
53	Coffin_Manson_Fatigue	Informatic Stress	CM_damage = (ΔT / ΔT_threshold)^m · 10^{-8}, m≈1.9	Solder/interconnect fatigue exponent	Accumulates damage from thermal cycling	core/gwl-vm/src/thermo/informatic_stress.rs	Rust	✅	56,59	LAYER_G_ENERGY	thermodynamic_bind
54	Landauer_Limit	Informatic Stress	W_erasure ≥ k_B · T · ln(2) ≈ 2.87e-21 J/bit at 300K	Minimum energy per bit erased	Thermodynamic lower bound on computation	core/gwl-vm/src/thermo/informatic_stress.rs	Rust	✅	14,45,55	LAYER_A_COMPRESSION	thermodynamic_bind
55	Entropy_Generation_Rate	Informatic Stress	dS/dt = power_dissipation / (k_B · T · ln 2) [bits/s]	Power dissipation rate	Rate of entropy generation from computational dissipation	core/gwl-vm/src/thermo/informatic_stress.rs	Rust	✅	14,42,43,46,54	LAYER_E_VERIFICATION	thermodynamic_bind
56	BitFlip_Gradient_5D	Informatic Stress	|G| = (D1/120 + D2/5000 + D3/1000 + D4/100 + D5/5000) / 5	D1=T_ambient, D2=V_jitter(nV), D3=φ_leak(μA), D4=ε_SEU(Hz), D5=dt_clock(ppm)	Normalized 5D hardware stress gradient	core/gwl-vm/src/thermo/informatic_stress.rs	Rust	✅	53,57,59	LAYER_D_INVARIANTS	thermodynamic_bind
57	SEU_BitFlip_Rate	Informatic Stress	BFR = ε_SEU · 2^{(T-25)/10} · (1 + V_jitter/1000) · 3600 [flips/hr]	SEU rate, temperature, voltage jitter	Estimated bit-flips per hour from hardware conditions	core/gwl-vm/src/thermo/informatic_stress.rs	Rust	✅	56,59	LAYER_G_ENERGY	thermodynamic_bind
58	Stress_Decay	Informatic Stress	stress(t) = stress_0 · e^{-t/300} + intensity · (1 - e^{-t/300})	5-minute half-life	Stress accumulation with exponential decay	core/gwl-vm/src/thermo/informatic_stress.rs	Rust	✅	59	LAYER_G_ENERGY	thermodynamic_bind
59	Remaining_Useful_Life	Informatic Stress	RUL = MTBF / (AF · (1 + fatigue·0.01 + thermal_fatigue·0.1))	MTBF=10^9/FIT_rate, AF=acceleration factor	Hardware lifetime prediction under current stress	core/gwl-vm/src/thermo/informatic_stress.rs	Rust	✅	33,51,52,53,56,57,58	LAYER_G_ENERGY	thermodynamic_bind
60	Homeostatic_Stress_Injection	Informatic Stress	surprise = -ln(margin), margin = 1 - stress_magnitude; regret = max(0, stress - 0.5)	Optimal stress ≈ 0.5	Converts stress margin to surprise/regret for homeostatic controller	core/gwl-vm/src/thermo/informatic_stress.rs	Rust	✅	58,73	LAYER_E_VERIFICATION	thermodynamic_bind
61	Exact_Int_to_FP_Cast	Informatic Stress	int_bits ≤ fp_mantissa_bits + 1 (signed) or ≤ fp_mantissa_bits + 1 (unsigned)	fp_mantissa=23 (f32) or 52 (f64)	Proves safe integer-to-floating-point conversion	core/gwl-vm/src/thermo/informatic_stress.rs	Rust	✅	62,63	LAYER_D_INVARIANTS	thermodynamic_bind
62	Safe_Narrowing_Proof	Informatic Stress	can_safely_narrow(src_bits, signed, dst_mantissa) → bool	Delegates to exact cast check	Proves double→single precision narrowing is safe	core/gwl-vm/src/thermo/informatic_stress.rs	Rust	✅	61,63	LAYER_D_INVARIANTS	thermodynamic_bind
63	RISCV_Instruction_Latency	Informatic Stress	fdiv.d=33, fdiv.s=19 → penalty=0.737; fadd.d=4, fadd.s=4 → penalty=0.0	SiFive P550 measurements	Per-instruction latency for dispatch scoring	core/gwl-vm/src/thermo/informatic_stress.rs	Rust	✅	61,62	LAYER_D_INVARIANTS	thermodynamic_bind
64	Photon_Energy	QCL Energy	E = hc/λ = 1.2398 / λ_μm [eV]	λ in μm	Wavelength-to-energy conversion	core/gwl-vm/src/thermo/qcl_energy_model.rs	Rust+Python	✅	65,70	LAYER_G_ENERGY	physical_bind
65	Subband_Spacing	QCL Energy	ΔE = E_upper - E_lower; E_upper=hc/λ_min, E_lower=hc/λ_max	QCL emission range [λ_min, λ_max]	Energy difference between subbands in conduction band	core/gwl-vm/src/thermo/qcl_energy_model.rs	Rust+Python	✅	64,66,67	LAYER_G_ENERGY	physical_bind
66	Cascade_Gain	QCL Energy	G = photons_per_e⁻ × n_wells; photons_per_e⁻ = ⌊E_electron / ΔE⌋	E_electron=1.0 eV, n_wells=50	Total photon amplification per cascading electron	core/gwl-vm/src/thermo/qcl_energy_model.rs	Rust+Python	✅	65,67,68	LAYER_G_ENERGY	physical_bind
67	Temperature_Tuning	QCL Energy	λ(T) = λ₀ + α · (T - T₀); α=5e-6 /K (GaAs/AlGaAs)	dλ/dT ≈ 0.3 nm/K	Wavelength shift due to thermal expansion of quantum wells	core/gwl-vm/src/thermo/qcl_energy_model.rs	Rust+Python	✅	12,64,68	LAYER_G_ENERGY	physical_bind
68	Injection_Efficiency	QCL Energy	η = (0.5 + window_bonus) · spacing_eff · (1 - stress_penalty); clamped to [0,1]	window_bonus=0.3 if in atmospheric window	Dispatch efficiency at given stress level	core/gwl-vm/src/thermo/qcl_energy_model.rs	Rust+Python	✅	65,66,67,69	LAYER_G_ENERGY	physical_bind
69	Atmospheric_Windows	QCL Energy	Windows: (3,5), (8,12), (16,20) μm; transmission=1.0 inside, exp(-dist·0.5) outside	MWIR, LWIR, Far-IR bands	Lossless carrier propagation bands	core/gwl-vm/src/thermo/qcl_energy_model.rs	Rust+Python	✅	68,70	LAYER_G_ENERGY	physical_bind
70	Tuning_Range	QCL Energy	ν = 10⁴/λ [cm⁻¹]; DFB: ±7.5 cm⁻¹, EC: ±200 cm⁻¹; λ_min=10⁴/ν_max, λ_max=10⁴/ν_min	Center wavelength, tuning mode	Spectral tuning capability	core/gwl-vm/src/thermo/qcl_energy_model.rs	Rust+Python	✅	64,69	LAYER_G_ENERGY	physical_bind
71	Mutual_Information_Signal	MI Signal	MI(x) = baseline_bpb(x) - actual_bpb(x)	Bits-per-byte difference	Measures structural density in data	core/intrinsic/formalisms/ene_mi_signal.py	Python	✅	1,2,44,72,73	LAYER_A_COMPRESSION	informational_bind
72	kNN_MI_Prediction	MI Signal	MI_pred = Σ_i (w_i · MI_i · S_i) / Σ_i (w_i · S_i); w_i = 1/(d_i + ε)	k-nearest neighbors in feature space	Local MI estimation from similar inputs	core/intrinsic/formalisms/ene_mi_signal.py	Python	✅	71,73,74	LAYER_B_ROUTING	informational_bind
73	Surprise_Metric	MI Signal	surprise = log(1 + |MI_actual - MI_predicted|)	Log-scaled absolute difference	Learning trigger; prevents blowup	core/intrinsic/formalisms/ene_mi_signal.py	Python	✅	71,72,60	LAYER_B_ROUTING	informational_bind
74	Structure_Yield	MI Signal	ρ(x) = MI(x) / (cost(x) + ε)	Information per compute cost	ROI of computation; high MI + low cost = valuable	core/intrinsic/formalisms/ene_mi_signal.py	Python	✅	6,71,72	LAYER_A_COMPRESSION	informational_bind
75	Weighted_Feature_Distance	MI Signal	d(z₁,z₂) = √Σ_i w_i · ((z₁_i - z₂_i) / s_i)²	9-dim feature vector, learned weights, online scales	Scale-normalized weighted distance in MI feature space	core/intrinsic/formalisms/ene_mi_signal.py	Python	✅	4,72	LAYER_B_ROUTING	informational_bind
76	DAG_Force_Equilibrium	DAG Force	Σ F_in = Σ F_out at every node	Discrete analogue of ∇·σ = 0	Structural synthesis force balance	core/PTOS_FRAMEWORK/PAPER/paper.tex	TeX	✅	77,78	LAYER_C_BRAID	geometric_bind
77	Constitutive_Law	DAG Force	σ = C : ε; ε = ½(∇u + ∇u^T)	C=stiffness tensor, u=displacement	Stress-strain relationship; linear elasticity	core/PTOS_FRAMEWORK/PAPER/paper.tex	TeX	✅	76	LAYER_C_BRAID	geometric_bind
78	DAG_Global_Validity	DAG Force	V(G) = ∧_{v∈V} (ΣF_in = ΣF_out)	Universal quantification over all nodes	DAG constraint closure; proof by induction	core/PTOS_FRAMEWORK/PAPER/paper.tex	TeX	✅	37,76,77	LAYER_C_BRAID	geometric_bind
79	Cosine_Similarity	Bracket Braid	cos = x · x_ref / (‖x‖ · ‖x_ref‖)	Dot product of normalized vectors	Reference solution alignment	audit/benchmarks/benchmark_bracket_braid_sb.py	Python	✅	80	LAYER_K_SIGNAL	geometric_bind
80	Gradient_Alignment	Bracket Braid	alignment = ∇g_i · ∇g_j / (‖∇g_i‖ · ‖∇g_j‖)	Cosine of gradient angle	Gradient coherence between brackets	audit/benchmarks/benchmark_bracket_braid_sb.py	Python	✅	79,81	LAYER_K_SIGNAL	geometric_bind
81	Phase_Accumulation	Bracket Braid	phase += Σ y · dx	Work integral along trajectory	Cumulative phase along computational path	audit/benchmarks/benchmark_bracket_braid_sb.py	Python	✅	37,80	LAYER_K_SIGNAL	geometric_bind
82	Metric_Tensor_From_Circumferences	GWL Riemannian Geometry	g_tt = M², g_tp = 0, g_pp = (N·cos(θ))²; a=C_eq/(2π), c=C_mer/(2π), f=(a-c)/a, e²=2f-f², N=a/√(1-e²sin²θ), M=a(1-e²)/(1-e²sin²θ)^(3/2)	C_eq=equatorial circumference, C_mer=meridional circumference, θ=latitude	Derive metric tensor from measured circumferences (oblate spheroid)	core/lean/geoweird/GWLKernel.lean	Lean	✅	83,84,87	LAYER_C_TOPOLOGY	geometric_bind
83	Line_Element	GWL Riemannian Geometry	ds² = g_tt·dθ² + 2·g_tp·dθ·dφ + g_pp·dφ²	g_ij=metric tensor, dθ/dφ=differentials	Compute infinitesimal distance on 2D Riemannian surface	core/lean/geoweird/GWLKernel.lean	Lean	✅	82	LAYER_C_TOPOLOGY	geometric_bind
84	Christoffel_Symbols_2D	GWL Connection	Gamma^k_ij = ½·g^kl·(∂_i g_jl + ∂_j g_il - ∂_l g_ij)	g=metric, gInv=inverse metric, dg=metric derivatives	Connection coefficients for geodesic integration	core/lean/geoweird/GWLKernel.lean	Lean	✅	82,85	LAYER_C_TOPOLOGY	geometric_bind
85	Geodesic_Step_Symplectic_Euler	GWL Geodesic Integration	a^θ = -(Gamma^θ_tt·v_θ² + 2·Gamma^θ_tp·v_θ·v_φ + Gamma^θ_pp·v_φ²); v' = v + a·dt; x' = x + v'·dt	position=(θ,φ), velocity=(v_θ,v_φ), Gamma=Christoffel, dt=step	Single-step geodesic integration (symplectic Euler)	core/lean/geoweird/GWLKernel.lean	Lean	✅	83,84	LAYER_C_TOPOLOGY	geometric_bind
86	Stereographic_Chart_Transition	GWL Coordinate Charts	u = 2·tan(θ/2)·cos(φ), v = 2·tan(θ/2)·sin(φ); θ = 2·atan(√(u²+v²)/2), φ = atan2(v,u); select when |cos(θ)| < 0.01	theta, phi, u, v	Avoid pole singularities via adaptive coordinate chart	core/lean/geoweird/GWL_Integrated.lean	Lean	✅	85	LAYER_C_TOPOLOGY	geometric_bind
87	Chirality_Algebra	GWL Chiral Interaction	D+D→D, L+L→L, D+L→W(COLLAPSE→W); chiralityToTernary: D→Active, L→Active, W→Latent	Chirality∈{D,L,W}, GammaMode, TernaryState	Chirality propagation through Gamma transform operations	core/lean/geoweird/GWL_Integrated.lean	Lean	✅	LAYER_C_TOPOLOGY	LAYER_C_TOPOLOGY	geometric_bind
88	BLINK_GATE_Ternary_Clock	GWL Ternary State	φ = (τ mod T)/T, T=942/1000; ternary: φ<1/3→Q, φ<2/3→A, else L; φ' = (φ+1/4) mod 1 if surprise>threshold	τ=time, surprise, threshold, T=0.942s	Ternary clock action with phase modulation	core/lean/geoweird/GWLKernel.lean	Lean	✅	90	LAYER_C_TOPOLOGY	control_bind
89	Geodesic_Step_Verlet	GWL Geodesic Integration (Integrated)	Same acceleration as M85 + Verlet velocity update + chart transition check	integratorMethod∈{SymplecticEuler,Verlet,AdaptiveVerlet}	Real geodesic integration with pole singularity handling	core/lean/geoweird/GWL_Integrated.lean	Lean	✅	84,85,86	LAYER_C_TOPOLOGY	geometric_bind
90	Waveprobe_Risk_Function	Waveprobe Control	risk(s) = (1 + γ·(1-cos(θ)))/d² + η·h; γ=3, η=0.8	d=distance, θ=torsion angle, h=heat	Combined risk metric for hysteretic control	core/lean/geoweird/WaveprobeKernel.lean	Lean	✅	91,92	LAYER_F_CONTROL	control_bind
91	Waveprobe_Heat_Evolution	Waveprobe Control	h' = α·h + β·a; α=0.95, β=0.2	h=heat, a=excitation value (E1=1,E2=2,E3=3,E4=4)	Heat accumulation with exponential decay	core/lean/geoweird/WaveprobeKernel.lean	Lean	✅	90	LAYER_F_CONTROL	control_bind
92	Waveprobe_Mode_Hysteresis	Waveprobe Control	locked→caution if risk<B_recover=2; caution→locked if risk≥B_lock=5; normal→caution if risk≥B_warn=3	B_recover=2, B_warn=3, B_lock=5	Hysteretic mode transitions with risk barriers	core/lean/geoweird/WaveprobeKernel.lean	Lean	✅	90	LAYER_F_CONTROL	control_bind
93	Phase_Transition_Derivative	Emergence System	diminishingRatio = |secondDeriv|/(|firstDeriv|+ε); transition when firstDeriv>ε AND |secondDeriv|<δ sustained	N windows	ε=0.001, δ=0.0001, sustainedWindows=10, entropyFloor=0.5	Detect optimization plateau to trigger emergence phase	core/lean/geoweird/EmergenceSystem.lean	Lean	✅	LAYER_F_CONTROL	control_bind	control_bind
94	Universe_Collision_Consensus	Emergence System	canCollide: dim_a==dim_b AND type_a!=type_b; strength=min(vol_a,vol_b)/vol_intersection; invariant: κ_a·κ_b>0→SphereLike, <0→HyperbolicLike	two universes with manifolds, types, axioms	Compute intersection of computational universes for witness generation	core/lean/geoweird/EmergenceSystem.lean	Lean	✅	93	LAYER_E_VERIFICATION	control_bind
95	Shannon_Type_Entropy_Swarm	Swarm Coordination	H = -Σ(p_i·log₂(p_i)) where p_i=w_i/Σw; confidence update: reinforced=min(conf+0.1,1.0), decayed=conf·0.95	learned types, weights, confidence threshold=0.8	Measure uncertainty in agent's universe type assignment	core/lean/geoweird/SwarmCoordination.lean	Lean	✅	94	LAYER_B_ROUTING	control_bind
96	Mean_Curvature_From_Constraints	Constraint Geometry	kappa = (cyclicRatio - treeRatio)·2.0; range [-2,2]	cyclicRatio=count(Cyclic)/total, treeRatio=count(Hierarchical)/total	Estimate curvature from constraint topology	core/lean/geoweird/ConstraintGeometry.lean	Lean	✅	97	LAYER_C_TOPOLOGY	geometric_bind
97	Universe_Type_Scoring	Constraint Geometry	scoreEuclidean=flatness+translation+noTime+linearGrowth; scoreHyperbolic=negativeCurve+exponential+treeLike; scoreSpherical=positiveCurve+compact+rotation; scoreLorentzian=time+causal+mixedMetric; each capped at 1.0	constraint features (curvature, symmetry, causality, etc.)	Score how well each universe type fits domain constraints	core/lean/geoweird/ConstraintGeometry.lean	Lean	✅	96	LAYER_C_TOPOLOGY	geometric_bind
98	Homeostatic_Pressure_Dynamics	Homeostatic Control	s_t = α·surprise_t + β·regret_t; p_{t+1} = γ·p_t + s_t; surprise=-log(P_actual); regret=max(0,log(P_optimal)-log(P_actual))	p=pressure, λ=canal width, s=stress, γ=decay∈(0,1), α,β weights	Pressure-driven exploration-exploitation control	docs/HOMEOSTATIC_CONTROL_SPEC.tex	LaTeX	✅	99,100	LAYER_B_ROUTING	control_bind
99	Canal_Deformation	Homeostatic Control	λ_t = λ₀·(σ + (1-σ)·e^{-ξ·p_t}); λ_t ∈ [λ₀·σ, λ₀]	λ₀=base canal width, σ∈(0,1)=min fraction, ξ=sensitivity	Adaptive selectivity controlled by pressure	docs/HOMEOSTATIC_CONTROL_SPEC.tex	LaTeX	✅	98	LAYER_B_ROUTING	control_bind
100	Decision_Reweighting_Homeostatic	Homeostatic Control	score_t = log(P_expected) - λ_t·s_t	λ_t from canal deformation, s_t=stress	Reduce penalty on high-stress paths when pressure rises	docs/HOMEOSTATIC_CONTROL_SPEC.tex	LaTeX	✅	98,99	LAYER_B_ROUTING	control_bind
101	Homeostatic_Equilibrium	Homeostatic Control	(1-γ)·p* = s(p*); stability: |γ + s'(p*)| < 1	p*=fixed point, γ=decay, s'=stress derivative	Stability condition for homeostatic fixed point	docs/HOMEOSTATIC_CONTROL_SPEC.tex	LaTeX	✅	98	LAYER_B_ROUTING	control_bind
102	Tree Fiddy	Combinatorial Analysis	L_max(k) = TREE(k) where k=3	k=labels, L_max=maximum sequence length	Theoretical upper bound for tree sequences under homeomorphic embedding; state space pruning shortcut via Kruskal's theorem	docs/semantics/TREE_FIDDY.md	Lean	✅	30,32,33,95	LAYER_D_INVARIANTS	geometric_bind
103	BHOCS	Bounded Hierarchical Cryptographic Space	depth ≤ TREE(3); OuterMMR = H(InnerMMR.hash || InnerMMR.summary); NUVMAP = (u,v) = (distance·1000, spectral_index)	depth=nesting depth, InnerMMR=orthogonal basis, OuterMMR=nested commitment, NUVMAP=compressed projection	Bounded hierarchical orthogonal cryptographic space via Tree Fiddy × MMR-on-MMR × NUVMAP crossbreed; finite but unbounded verifiable hierarchy; GCL fractal fold surface support via nested MMR hierarchy	docs/semantics/BHOCS.md	Lean	✅	102,112,113,637,638,639,640,641,642,643,644,645,646,1221,1222,1223,1224,1225,1226,1227,1228,1229,1230	LAYER_D_INVARIANTS	geometric_bind
104	UnitConversion	Unit Conversion	km = miles × 1.60934; fib_km = F(n+1) where F(n)=Fibonacci; φ≈1.618034 (golden ratio)	miles, km, feet, meters, yards, inches, centimeters, millimeters; ratio=conversion factor, fib=Fibonacci number, φ=golden ratio	Metric/imperial unit conversions with Fibonacci-based approximation using golden ratio coincidence (φ≈1.618 within 0.6% of 1.609 miles/km conversion); safety-critical to prevent Mars Climate Orbiter-class unit mismatch errors ($193M loss, 1999)	tools/lean/Semantics/Semantics/UnitConversion.lean	Lean	✅	LAYER_A_COMPRESSION	geometric_bind
102	Hutter_Shape_Equation	Information Theory	H(W) = H₀ - I_local - I_structural - I_semantic - I_syntactic - I_cross; H₀=8.0, H(W)≈0.92 bpb (115 MB); I(W)=ΣI_k≈7.08 bpb	H₀=uniform baseline (8 bpb), I_k=mutual information wedges per layer	Hierarchical entropy decomposition for compression	docs/geometry/HUTTER_SHAPE_EQUATION.md	Documented	✅	103	LAYER_A_COMPRESSION	informational_bind
103	Hutter_Manifold_Deformation	Information Theory	Δ_t = M_{t+1} - M_t; v(x,t) = Φ_{t+1}(x) - Φ_t(x); H(x,t)=‖v(x,t)‖²; ε=½(∇v+(∇v)^T)	M_t=manifold state at release t, Φ_t=embedding, v=velocity, ε=strain	Model Hutter corpus evolution as tensor field deformation	docs/roadmap/HUTTER_MANIFOLD_DYNAMICS.md	Documented	✅	102,104	LAYER_J_DYNAMICS	informational_bind
104	SHA256_Field_Equations	Information Theory	Δ_manifold = μ_{t+1} - μ_t; ΔΣ = Σ_{t+1} - Σ_t; SHA256(μ_t‖Σ_t) → chain_hash; chunk_residual = f - μ_t	μ_t=manifold mean, Σ_t=covariance, f=chunk feature	Track Wikipedia knowledge evolution as hash-chained manifold deltas	docs/roadmap/SHA256_FIELD_EQUATIONS.md	Documented	✅	102,103	LAYER_J_DYNAMICS	informational_bind
105	Dyson_Swarm_Geodesic_Equation	Dyson Swarm Geodesics	d²x^μ/dτ² + Gamma^μ_νλ(dx^ν/dτ)(dx^λ/dτ) = η^μ(τ); <η^μ(τ)η^ν(τ')> = 2D·δ^μν·δ(τ-τ')	x^μ=position in data space, Q=QUBO matrix, Gamma=Christoffel, η=thermal noise	Model carrier state waves as geodesics on QUBO-derived data manifold	docs/geometry/DYSON_SWARM_GEODESIC_EQUATIONS_2026-04-09.md	Documented	✅	84,85,106	LAYER_C_TOPOLOGY	geometric_bind
106	Metric_From_QUBO_Hessian	Dyson Swarm Geodesics	g_μν(x) = δ_μν + α·∂²E/∂x^μ∂x^ν = δ_μν + α·Q_μν	Q=QUBO matrix, α=scaling, δ=Kronecker delta	Define Riemannian metric from QUBO energy landscape	docs/geometry/DYSON_SWARM_GEODESIC_EQUATIONS_2026-04-09.md	Documented	✅	105	LAYER_C_TOPOLOGY	geometric_bind
107	Langevin_Geodesic_Damping	Dyson Swarm Geodesics	d²x^μ/dτ² + Gamma^μ_νλ(dx^ν/dτ)(dx^λ/dτ) = -γ(dx^μ/dτ) + √(2D)·ξ^μ(τ)	γ=damping coefficient, D=diffusion, ξ=Gaussian white noise	Damped stochastic geodesic with thermal friction	docs/geometry/DYSON_SWARM_GEODESIC_EQUATIONS_2026-04-09.md	Documented	✅	105	LAYER_C_TOPOLOGY	geometric_bind
108	Alcubierre_Information_Metric	Virtual Alcubierre	dI² = -dτ² + (dH - β·dτ)²; β = v_eff·f·Ω; v_eff = v_local/(1-φ)	τ=proper time, H=entropy, β=shift vector, φ=foam score, Ω=opcode coupling	Information-theoretic model for search acceleration via negative curvature	docs/geometry/Virtual_Alcubierre_Information_Metric_Proof.md	Documented	✅	83,98	LAYER_G_ENERGY	geometric_bind
109	Alcubierre_Null_Geodesics	Virtual Alcubierre	dH/dτ = β ± 1; superluminal when β>1; collapse when φ ≥ 1 - κ_critical/v_local	κ=thermodynamic load, bandwidth, τ_coherence	Event horizon collapse condition	regulating search acceleration	docs/geometry/Virtual_Alcubierre_Information_Metric_Proof.md	Documented	✅	LAYER_C_TOPOLOGY	geometric_bind	geometric_bind
110	Ray_Casting_Braid_Step	Braid Topology	R(s) = G_new + s·d⃗; collision: ‖R(s) - P_j‖ < T; D_topo = ∫_L σ(s)·P(s) ds	G_new=new point, d⃗=direction, P_j=existing peak, T=threshold, σ=coherence, P=purity	Geometric parent selection for Merkle braiding via raycasting	docs/formal_spec/RAYCAST_MMR_BRAID_TOPOLOGY.md	Documented	✅	111,112	LAYER_C_BRAID	geometric_bind
111	Fast_Inverse_Square_Root	Braid Topology	0x5f3759df bit-hack for 1/d calculation; DIAT constraint: y_inv·y_sqrt ≈ C² where C=2^{16}	k=index, y_inv=1/√k, y_sqrt=√k, 16.16 fixed-point	Near-constant-time intersection calculation	docs/formal_spec/THETA_TAN_RAYCAST_AMMR.md	Documented	✅	110	LAYER_C_BRAID	geometric_bind
112	UVMAP_Projection	Braid Topology	32-bit packed texel: (v<<16)|u; U-axis: distance-based albedo (t×1000); V-axis: spectral frequency index (k from DIAT)	t=distance, k=frequency index	Encode raycast intersections for stochastic UV map rendering	docs/formal_spec/THETA_TAN_RAYCAST_AMMR.md	Documented	✅	110	LAYER_C_BRAID	geometric_bind
113	Boltzmann_Transport_Equation_ThetaTaN	Theta-TaN Phonon Physics	κ_ph^{αβ} = (1/V)·Σ_{pq} C_V(pq)·v_{pq}^α·F_{pq}^β; C_V(pq)=ℏω·∂n₀/∂T; v_{pq}^α=∂ω/∂q_α	C_V=mode heat capacity, v=phonon group velocity, F=mean free displacement	Model lattice thermal conductivity in θ-phase TaN via phonon BTE	docs/formal_spec/THETA_TAN_RAYCAST_AMMR.md	Documented	✅	114	LAYER_G_ENERGY	physical_bind
114	Phonon_Scattering_Matrix	Theta-TaN Phonon Physics	τ_{pq}^{-1} = τ_{3ph}^{-1} + τ_{4ph}^{-1} + τ_{ph-iso}^{-1} + τ_{ph-el}^{-1}	3-phonon, 4-phonon, isotope, electron-phonon scattering channels	Total phonon scattering rate as sum of independent channels	docs/formal_spec/THETA_TAN_RAYCAST_AMMR.md	Documented	✅	113	LAYER_G_ENERGY	physical_bind
115	Tensor_Field_QUBO	Non-Euclidean UV QUBO	F_u = -stress_xx·du - stress_xy·dv, F_v = -stress_yx·du - stress_yy·dv; wave = amplitude·e^{-dist·0.1}·cos(phase+dist); spin_i = 1 if wave>0 else 0	tensor=[stress_xx,stress_xy,stress_yx,stress_yy] per grid point	Map QUBO to tensor field with wave-like carrier propagation	audit/benchmarks/benchmark_tensor_carrier.rs	Rust	✅	116,117	LAYER_C_TOPOLOGY	geometric_bind
116	Non_Euclidean_UV_Distance	Non-Euclidean UV QUBO	Hyperbolic (Poincare): d = acosh(1 + 2·|p1-p2|²/((1-|p1|²)(1-|p2|²))); Spherical: d = acos(dot(p1,p2)); energy uses non-Euclidean distance	UV points, geometry type∈{Euclidean,Hyperbolic,Spherical}	Map QUBO to non-Euclidean surface where frustration=curvature	audit/benchmarks/benchmark_non_euclidean_uv.rs	Rust	✅	15,115	LAYER_C_TOPOLOGY	geometric_bind
117	PGA_Cl301_NFold_Mechanics	Geometric Algebra	16D algebra: scalar(1)+vector(4)+bivector(6)+trivector(4)+pseudoscalar(1); B_i=I·e_i; SE(3) motor: M=R+ε(½·t·R); CFA: h_i^{l+1}=h_i^l+Σ_j M_{ij}^l·h_j^l·M_{ji}^l	PGA multivectors, motors, curvature κ, torsion τ	Unified framework for protein structures using projective geometric algebra	docs/geometry/GEOMETRIC_FIRST_LANGUAGE_Protein_NFold_Mechanics.md	Documented	✅	84,96,105	LAYER_H_ALGEBRA	geometric_bind
118	Sine_Gordon_Equation	Geometric Algebra	d²θ/dt² - c²·d²θ/ds² + (m²c⁴/ℏ²)·sin(θ) = 0	θ=phase, c=wave speed, m=mass, ℏ=reduced Planck constant	Soliton dynamics in protein backbone	docs/geometry/GEOMETRIC_FIRST_LANGUAGE_Protein_NFold_Mechanics.md	Documented	✅	117	LAYER_H_ALGEBRA	geometric_bind
119	Curvature_Torsion_Coupling_NFold	Geometric Algebra	κ_n = f(κ_{n-1}, τ_{n-1}, S_n), τ_n = g(κ_n, τ_{n-1}, S_n); Γ^λ_{μν} = {Levi-Civita}^λ_{μν} + K^λ_{μν} (contortion)	κ=curvature, τ=torsion, S_n=substrate properties, K=contortion tensor	Curvature-torsion coupling in N-fold mechanics	docs/geometry/GEOMETRIC_FIRST_LANGUAGE_Protein_NFold_Mechanics.md	Documented	✅	117	LAYER_H_ALGEBRA	geometric_bind
120	Hormone_Half_Life_to_Decay_Rate	Hormone Derivation	remaining = 2^{-t_sec/(T_half_min·60)}; decay_rate = 1 - remaining; Ebbinghaus: R(t) = e^{-t/S} where S = T_half/ln(2)	T_half=biological half-life (min), pulse_interval_sec=10.0	Convert biological half-life to computational decay rate	lab/hormone_derivation.py	Python	✅	98,59	LAYER_B_ROUTING	control_bind
121	Logit_Z_Normalization	Hormone Derivation	logit(x) = log(x/(1-x)); z = (logit(x) - mean_logit) / std_logit	x∈[0,1], mean_logit, std_logit from calibration	Transform bounded concentration to z-score	lab/hormone_derivation.py	Python	✅	120	LAYER_B_ROUTING	control_bind
122	Dynamic_Amplification_Factor	FEA Semi-Truck	DAF = 1.0 + braking_factor·0.5 (1.0-1.5); load_steer = base_load·DAF; load_drive = base_load·(1-braking·0.2); patch area = load/tire_pressure	GVWR, axle loads, tire pressure, braking factor	Moving load simulation with dynamic amplification	lab/physics_fea/semi_truck_physics.py	Python	✅	LAYER_L_APPLICATION	LAYER_L_APPLICATION	physical_bind
123	Voxel_Key_Encoding	Heerich Voxel	key = ((x+512)&0x3FF)<<20 | ((y+512)&0x3FF)<<10 | ((z+512)&0x3FF); inverse: decode bit fields; range [-512,511] per axis, 30-bit	x,y,z integers	Fast 30-bit integer address for n-space positions	tools/heerich_model.py	Python	✅	124	LAYER_I_ENCODING	geometric_bind
124	Microvoxel_Seed_4Byte_Encoding	Microvoxel Seed	32-bit: delta_p[9:0]|region[13:10]|gamma[18:14]|activation[22:19]|polarity[26:23]|confidence[30:27]|flag[31]; switch: eff<0.8→EXCLUDE, <1.2→EXPLORE, ≥1.2→PROMOTE	delta_p, region, gamma, activation, polarity, confidence	Compressed self-evolving program via ternary switch encoding	lab/microvoxel_seed_self_evolving_encoder.py	Python	✅	1,123	LAYER_I_ENCODING	control_bind
125	DCVN_Verification_Invariant_Survival	DCVN Verification	4 invariants: completeness(c), consistency(s), freshness(f), provenance(p); survival mask: bit set if value≥threshold; participation: 4→FULL(1.0), ≥2→PARTIAL(0.5), ≥1→OBSERVER(0.1), 0→ABSENT(0.0); variance=var([c,s,f,p])/4	c,s,f,p∈[0,1], thresholds	Graduated participation based on invariant health in verification swarm	lab/consensus_net/verification_core.py	Python	✅	10,11	LAYER_E_VERIFICATION	control_bind
126	Watanabe_Total_Correlation	Tensor Field Analysis	TC = ΣH(X_i) - H(X_1,...,X_n); KSG estimator for MI; Kolmogorov: len(compressed)/len(original); formula complexity: 0.4·kolmogorov + 0.4·entropy/8 + 0.2·CV	feature vectors, variant formulas, Hutter submission data	Rigorous tensor field analysis of Hutter variants	lab/hutter/tensor_field_analysis_rigorous.py	Python	✅	102,103	LAYER_A_COMPRESSION	informational_bind
127	Neural_Delta_GCL_Field_Equation	Compression	x = DeltaGCL(m); q_θ(z|x) = N(μ_θ(x), diag(σ²_θ(x))); z = μ_θ(x) + σ_θ(x) ⊙ ε, ε~N(0,I); x̂ = g_φ(z); L = D(x,x̂) + β·KL(q_θ(z|x)||N(0,I)); R_total = R_ΔGCL·R_neural	m=raw metadata, x=Delta GCL compressed, z=latent (64-dim), f_θ=VAE encoder, g_φ=decoder, D=reconstruction loss, KL=KL divergence, β=1e-3, R_ΔGCL∈[0.01,0.08], R_neural∈[0.3,0.5]	Canonical VAE-style neural compression on Delta GCL; encoder regularized toward standard normal prior; safety: verify x̂≈x and DeltaGCLDecode(x̂) preserves invariant before commit; Delta GCL=lawful base codec, neural=learned transport compressor, verifier=semantic authority	docs/papers/NEURAL_COMPRESSION_ON_DELTA_GCL.md	Documented	✅	127	LAYER_A_COMPRESSION	informational_bind
128	Riemann_Zeta_Pair_Correlation	Number Theory	R₂(x) = 1 − (sin(πx)/(πx))²	R₂=pair correlation, x=normalized spacing	Montgomery-Odlyzko law: Riemann zeta zero spacings correspond to GUE eigenvalue spacings; verified to billions of zeros	docs/math/cross_domain_structures.md	Documented	✅	128	LAYER_A_COMPRESSION	informational_bind
129	Zeta_As_Partition_Function	Statistical Mechanics	ζ(s) = Σ_{n=1}^∞ n^{-s} ↔ Z(β) = Σ_n e^{-βE_n}	s=complex variable, β=inverse temperature, E_n=energy levels	Analytic number theory ↔ equilibrium statistical mechanics; Bost-Connes model; phase transition at β=1 mirrors pole at s=1	docs/math/cross_domain_structures.md	Documented	✅	129	LAYER_G_ENERGY	thermodynamic_bind
130	Gutzwiller_Trace_Formula	Quantum Chaos	d(E) = d̄(E) + (1/πℏ) Σ_p Σ_{r=1}^∞ (A_{p,r}/√|det(M_p^r − I)|) cos(rS_p(E)/ℏ − rμπ_p/2)	d=density of states, E=energy, ℏ=Planck constant, p=periodic orbit, r=repetition, A=amplitude, M=monodromy, S=action, μ=Maslov index	Bridges classical periodic orbits to quantum spectral properties; structural parallel to explicit formula of prime number theory; motivates Hilbert-Pólya conjecture	docs/math/cross_domain_structures.md	Documented	✅	130	LAYER_C_TOPOLOGY	geometric_bind
131	Explicit_Formula_Prime_Number	Number Theory	ψ(x) = x − Σ_ρ x^ρ/ρ − log(2π) − 1/2 log(1−x^{−2})	ψ=Chebyshev function, x=real variable, ρ=Riemann zeta zeros	Explicit formula of prime number theory; structural parallel to Gutzwiller trace formula; connects quantum chaos to additive number theory	docs/math/cross_domain_structures.md	Documented	✅	131	LAYER_A_COMPRESSION	informational_bind
132	Heat_Equation	Physics	∂T/∂t = α ∇²T	T=temperature, t=time, α=thermal diffusivity, ∇²=Laplacian	Caloric theory of heat (superseded) but equation remains valid; demonstrates persistence of mathematical structure despite physical theory replacement	docs/math/cross_domain_structures.md	Documented	✅	132	LAYER_G_ENERGY	physical_bind
133	Wave_Equation	Physics	∇²E - (1/c²)∂²E/∂t² = 0	E=electric field, c=speed of light, ∇²=Laplacian, t=time	Luminiferous ether theory (superseded) but equation remains valid; demonstrates persistence of mathematical structure despite physical theory replacement	docs/math/cross_domain_structures.md	Documented	✅	133	LAYER_C_TOPOLOGY	geometric_bind
134	Euler_Divergent_Series	Number Theory	1 + 2 + 3 + 4 + ... = -1/12	ζ(-1) = -1/12 via analytic continuation	"Heuristic result validated through string theory and Casimir effect; exemplifies paramathematical mathematics that obeys physical laws despite appearing ""wrong"""	docs/math/cross_domain_structures.md	Documented	✅	134	LAYER_A_COMPRESSION	informational_bind
135	P_Adic_Metric	Number Theory	|x + y|_p ≤ max(|x|_p, |y|_p)	|x|_p=p-adic absolute value, p=prime	Non-Archimedean metric for Planck-scale physics; strong triangle inequality; enables adelic formulations bridging real and p-adic worlds	docs/math/cross_domain_structures.md	Documented	✅	135	LAYER_D_INVARIANTS	geometric_bind
127	Relation_Sieve_5_Symbol	Cache Sieve	pack 5 2-bit symbols into 10-bit: sig=(T<<8)|(D<<6)|(C<<4)|(A<<2)|R; torsion: value<t0→00,<t1→01,<t2→10,else 11; coherence inverted: ≥c2→00,≥c1→01,≥c0→10,else 11; classify: REJECT if T=11,A=11,C=11,(T≥10&C≥10),(D=11&A≥10),(R=11&C≥10); HOLD if any=10 or C∈{01,10}; else PASS	T=torsion, D=drift, C=coherence, A=angular momentum, R=radius	Structural classification of cache manifolds into PASS/HOLD/REJECT	tools/cache_sieve_exploration.py	Python	✅	115,128	LAYER_D_INVARIANTS	control_bind
128	Proxy_Extraction_From_Manifold	Cache Sieve	torsion = Σ|τ_i|(i<32)·100; drift = |φ_corr|·255; coherence = 255-torsion; angmom from geometry plugin; radius = |radius-1.0|·255	τ=torsion gradient samples, φ_corr=correlation	Manifold features to discrete scalars	tools/cache_sieve_exploration.py	Python	✅	127	LAYER_D_INVARIANTS	control_bind
129	Unified_Field_Potential	HyperFabric	Φ = (ρ² + v² + τ² + σ² + q²) / ((1 + κ²)(1 + ε))	ρ=density, v=velocity, τ=torsion, σ=stress, q=charge, κ=curvature, ε=epsilon	Unified potential combining multiple factors for compression efficiency scoring	tools/lean/Semantics/Semantics/HachimojiPipeline.lean	Lean	✅	LAYER_A_COMPRESSION	geometric_bind
130	Recursive_Structure	HyperFabric	P_{m+1} = R(P_m) ∩ C_m	R=refinement operator, C_m=cooling constraint	Hierarchical structure refinement with constraint filtering	tools/lean/Semantics/Semantics/HachimojiPipeline.lean	Lean	✅	129	LAYER_C_TOPOLOGY	geometric_bind
131	Damped_Harmonic_Oscillator	Time_Motion_Friction	M z̈ + C ż + K z = f(t)	M=mass, C=damping, K=stiffness, f(t)=driving force	Oscillatory dynamics with damping for energy dissipation	tools/lean/Semantics/Semantics/HachimojiPipeline.lean	Lean	✅	LAYER_G_ENERGY	physical_bind
132	Loss_Function	Update_Rule	L = λ₁ N_unresolved + λ₂ N_revisited + λ₃ N_degenerate + λ₄ T_update	λ=weights, N=counts, T=time	Optimization objective for search process	tools/lean/Semantics/Semantics/HachimojiPipeline.lean	Lean	✅	130	LAYER_B_ROUTING	informational_bind
133	Continuity_Equation	Tetris_Manifold	∂_t ρ + ∇·(ρv) = 0	ρ=density, v=velocity	Mass conservation in fluid-like systems	tools/lean/Semantics/Semantics/HachimojiPipeline.lean	Lean	✅	134	LAYER_C_TOPOLOGY	physical_bind
134	Momentum_Balance	Tetris_Manifold	ρ(∂_t v + v·∇v) = -∇p + ∇·σ - ρ∇G + f_align	ρ=density, v=velocity, p=pressure, σ=stress, G=potential, f_align=alignment force	Newton's second law for continuum mechanics	tools/lean/Semantics/Semantics/HachimojiPipeline.lean	Lean	✅	133,135	LAYER_C_TOPOLOGY	physical_bind
135	Hyperbola_Index	Making_It_Rigorous	k = ⌊√n⌋, a(n) = n - k², b(n) = (k+1)² - n, m(n) = a(n)b(n)	n=integer, k=floor(sqrt(n)), a=offset from lower square, b=offset to upper square, m=mass	Discrete invariant measuring position between consecutive squares	tools/lean/Semantics/Semantics/HachimojiPipeline.lean	Lean	✅	LAYER_A_COMPRESSION	informational_bind
136	Nutrient_State	Update_Rule	N = (N_local, N_indexed, N_committed), decay_rate	Three-tier nutrient: local (fast weak), indexed (stronger reusable), committed (slow reserve)	Resource allocation with temporal hierarchy	tools/lean/Semantics/Semantics/HachimojiPipeline.lean	Lean	✅	137,138	LAYER_B_ROUTING	control_bind
137	Nutrient_Gain_Law	Update_Rule	ΔN = α₁ U_crc + α₂ U_btree + α₃ U_ammr	α=weights, U=utility from CRC, B-tree, AMMR support	Nutrient accumulation from validated success	tools/lean/Semantics/Semantics/HachimojiPipeline.lean	Lean	✅	136,138	LAYER_B_ROUTING	control_bind
138	Nutrient_Decay_Law	Update_Rule	N(t+1) = (1-λ)N(t) - cost, λ_C < λ_I < λ_L	λ=decay rate, cost=signaling/duty expenditure	Structural shedding/pruning like leaves falling from branches	tools/lean/Semantics/Semantics/HachimojiPipeline.lean	Lean	✅	136,137	LAYER_B_ROUTING	control_bind
139	Total_Stress_Tensor	HyperFabric	Σ = Σ_phase + Σ_elastic + Σ_torsional + Σ_locking	Σ_phase=phase stress, Σ_elastic=fold-back stress, Σ_torsional=torsion stress, Σ_locking=interlocking stress	Combined stress from multiple sources in field dynamics	tools/lean/Semantics/Semantics/HachimojiPipeline.lean	Lean	✅	129	LAYER_G_ENERGY	physical_bind
140	Energy_Dissipation_Rate	HyperFabric	dF/dt = (F_current - F_previous)/dt	F=energy, dt=time step	Rate of energy decrease; dF/dt ≤ 0 for dissipative systems	tools/lean/Semantics/Semantics/HachimojiPipeline.lean	Lean	✅	139	LAYER_G_ENERGY	thermodynamic_bind
129	SEISMIC_Shell_Detection	Topological Encoder	0.35 ≤ φ_corr < 0.47; PHI-offset retry: φ_offset = φ_corr·PHI mod 1.0; SHA256 pattern hash: phi_weighted_profile[i]=τ_i·PHI^{-i/100}; hash=SHA256(φ_corr:path_length:Σphi_weighted_profile); orientation=(φ_corr·PHI) mod 2π	φ_corr, τ=torsion, PHI=golden ratio	"Detect SEISMIC torsion shells for ""The Wall"" construction"	tools/topological_encoder.py	Python	✅	19,37	LAYER_I_ENCODING	geometric_bind
130	Half_Mobius_Closure_Integral	Topological Encoder	∮τ·ds = π; solve: accumulated = Σ(τ_i·step_size); return path_length s when accumulated ≥ π	τ=torsion gradient samples, step_size, φ_corr=correlation	Half-twist closure condition for topologically stable wall	tools/topological_encoder.py	Python	✅	41,129	LAYER_C_BRAID	geometric_bind
131	Regret_Field_Blink_Cycle	KDA Control	R_magnitude = surprise·(predicted_bpb - actual_bpb)/actual_bpb; blink_duration = baseline_ms + (regret_ms - baseline_ms)·R_magnitude ∈ [500ms,700ms]; decay: R *= e^{-λ·dt}, λ=2.0	surprise, predicted/actual bpb, blink baseline/regret, decay lambda	Adaptive blink cycle control via regret field magnitude	lab/CONCEPT_STAGE/2_KDA_Control_Kernel_Source.py	Python	✅	88,90,25	LAYER_F_CONTROL	control_bind
132	Hugoniot_Shock_Physics	KDA Control	Rankine-Hugoniot relations: T-P relationship for shock compression; transient vs equilibrium temperature; E_kinetic = ½·I·ω² (plasma flywheel); E_harvested = E_stored·efficiency	Pressure(GPa), temperature(K), moment of inertia, RPM	Thermodynamic state computation for plasma substrate	lab/CONCEPT_STAGE/2_KDA_Control_Kernel_Source.py	Python	✅	25,98	LAYER_F_CONTROL	control_bind
133	Waveprobe_Binning_Functions	Waveprobe Control	binDistance: d<0.5→near(0), d<1→mid(1), else far(2); binTorsion: |sin(θ)|<1/3→aligned(0), <2/3→skewed(1), else twisted(2); binHeat: h<2→cool(0), h<5→warm(1), else hot(2)	d=distance, θ=torsion angle, h=heat	3-category binning for LUT policy indexing	core/lean/geoweird/WaveprobeKernel.lean	Lean	✅	90	LAYER_F_CONTROL	control_bind
134	Waveprobe_LUT_Policy	Waveprobe Control	baseLUT: 3×3×3 lookup mapping (distBin,torsionBin,heatBin)→Excitation; applyMode: normal=pass, caution=cap E2, locked=force E1; nextMode: hysteretic transitions by risk vs B_recover/B_warn/B_lock	3 bins × 3 bins × 3 bins = 27 entries	Base control policy with mode override	core/lean/geoweird/WaveprobeKernel.lean	Lean	✅	90,133	LAYER_F_CONTROL	control_bind
135	Parallel_Transport_Writhe	Non-Euclidean Geometry	project to oblique 2D: (x+z·cos(π/4)·0.5, y+z·cos(π/4)·0.5); deltas=consecutive differences; wr = Σ(ax·by - ay·bx)/(n-1)	history of nd_points, window W=16, dox=doy=cos(π/4)·0.5	Parallel-transport writhe in curved PCA manifold	tools/geometry_noneuclidean.py	Python	✅	35,51	LAYER_C_TOPOLOGY	geometric_bind
136	NE_Path_Validation	Geometry Verifier	PHI-weighted distance: d = √(Σ w_i·(a_i-b_i)²) where w_i=PHI^{-i}; metric continuity: max_jump>5.0→fail; writhe bound: |writhe|>2.0→fail; parallel transport: |sim-prev_sim|>1.5→instability	14D concept vectors, PHI weights, path points	Validate paths through non-Euclidean concept space	tools/geometry_verifier.py	Python	✅	37,51,135	LAYER_C_TOPOLOGY	geometric_bind
137	Hormone_Concentration_Normalization	Hormone Derivation	normalized = (value - species_min)/(species_max - species_min); modulation = effect_size·(1 - CV_species); CV = std/mean across species	concentration values, species min/max, effect sizes, cross-species variance	Normalize biological concentrations to computational 0-1 range	lab/hormone_derivation.py	Python	✅	120	LAYER_B_ROUTING	control_bind
138	Thermal_Finality_BEA	BEA Thermo Bridge	confidence = min(bea_confidence + avg_irreversibility/n, 1.0); time_to_reverse = exp(total_irreversibility·100); weight = work_done/(1+entropy)·(1-0.5·irreversibility)	bea_confidence, irreversibility array, work_done, entropy	Integrate thermodynamic process tracking with BEA consensus	core/gwl-vm/src/thermo/bea_thermo_bridge.rs	Rust	✅	21,11,27	LAYER_E_VERIFICATION	thermodynamic_bind
139	Entropy_Generation_Rate_Informatic	Informatic Stress	dS/dt = power_dissipation/(k_B·T·ln(2)) [bits/s]; k_B=8.617e-5 eV/K; LANDAUER_LIMIT_300K=2.87e-21 J/bit	power_dissipation, temperature, Boltzmann constant	Rate of entropy generation from computational dissipation	core/gwl-vm/src/thermo/informatic_stress.rs	Rust	✅	55,14,54	LAYER_G_ENERGY	thermodynamic_bind
140	Remaining_Useful_Life_Prediction	Informatic Stress	RUL = MTBF/(AF·(1+fatigue·0.01+thermal_fatigue·0.1)); MTBF=10^9/FIT_rate; AF=Arrhenius acceleration factor	MTBF, acceleration factor, fatigue, thermal fatigue	Hardware lifetime prediction under current stress	core/gwl-vm/src/thermo/informatic_stress.rs	Rust	✅	51,52,53,56,57,58	LAYER_G_ENERGY	thermodynamic_bind
141	PBACS_1bit_Transport	PBACS Signal	b_t = 1[v_t + e_{t-1} > θ_t]; e_t = v_t + e_{t-1} - b_t	v_t=input, e_t=error accumulator, θ_t=threshold	1-bit noise-shaped encoding with error feedback	docs/semantics/PBACS_CANONICAL_SIGNAL_ARCHITECTURE.md	Spec	✅	142,143,144,145	LAYER_K_SIGNAL	control_bind
142	PBACS_Phi_Traversal	PBACS Signal	Φ_{t+1} = Φ_t + 106070 (mod 2^32); idx = (Φ_t >> n) ⊕ MSB_flip	Φ=accumulator, 106070=φ·2^16, MSB=mirror bit	Deterministic φ-based scheduling for uniform coverage	docs/semantics/PBACS_CANONICAL_SIGNAL_ARCHITECTURE.md	Spec	✅	141,143	LAYER_F_CONTROL	control_bind
143	PBACS_Void_Mask_LUT	PBACS Signal	θ_t = LUT_void[idx]; attest = popcount(LUT[i] ∧ deviation)	LUT_void=8Kbit blue noise mask, idx=traversal index	Structured thresholding replaces arithmetic transforms	docs/semantics/PBACS_CANONICAL_SIGNAL_ARCHITECTURE.md	Spec	✅	141,142,145	LAYER_K_SIGNAL	control_bind
144	PBACS_SLUQ_Stress	PBACS Signal	a_{t+1} = a_t - (a_t >> 6) + α|e_t| + β|μ| + γ·attest	a=stress accumulator, e=residual, μ=density mismatch	Adaptive stress accumulation with decay	docs/semantics/PBACS_CANONICAL_SIGNAL_ARCHITECTURE.md	Spec	✅	141,146	LAYER_F_CONTROL	control_bind
145	PBACS_CMYK_Routing	PBACS Signal	s_t = a_t >> 14; π(s_t) ∈ {K,C,M,Y} for [0,1,2,3]	s=2-bit state, K=fast, C=monitor, M=verify, Y=prune	Policy-based adaptive routing with 4-state hysteresis	docs/semantics/PBACS_CANONICAL_SIGNAL_ARCHITECTURE.md	Spec	✅	144	LAYER_B_ROUTING	control_bind
146	PBACS_BracketedDIAT	PBACS Signal	ℬ = ⟨l,u,v,g_l,g_u⟩ with g_l + g_u = u - l	l,u=bounds, v=value, g=gap, scale	Constraint-preserving interval arithmetic with gap conservation	tools/lean/Semantics/Semantics/BracketedCalculus.lean	Lean	✅	141,147	LAYER_D_INVARIANTS	control_bind
147	PBACS_Unified_Update	PBACS Signal	X_{t+1} = F(X_t) where X = (Φ,e,a,s,b,ℬ)	Unified state vector with 8-step canonical loop	Complete PBACS signal transport with all 5 layers	docs/semantics/PBACS_CANONICAL_SIGNAL_ARCHITECTURE.md	Spec	✅	141,142,143,144,145,146	LAYER_F_CONTROL	control_bind
148	LUT_as_DSP	FPGA Signal	φ_corr = LUT_void[(Φ_acc >> n) ⊕ MSB_flip]	Φ_acc=32-bit accumulator, MSB_flip=mirror detection	LUT-based DSP replacing floating-point with table lookups	docs/semantics/LUT_AS_DSP_EQUATION.md	Spec	✅	142,149	LAYER_K_SIGNAL	control_bind
149	Mirror_LUT_Unified	FPGA Signal	ℳ*(q,s,t) = ⌊φ^{α·ℋ(q,s) + β·𝒯(t)}·2^n⌋ ⊕ ℱ(q)	q=query, s=state, t=time, ℋ=hash, ℱ=fold	Cross-domain mirror LUT unification	docs/semantics/MIRROR_LUT_EQUATIONS.md	Spec	✅	142,148	LAYER_K_SIGNAL	control_bind
150	Adaptive_1bit_CMYK	FPGA Signal	stress_t = α|e_t| + β|μ| + γ·popcount; s_t = a_t >> 14	1-bit encoder + CMYK stress routing merged	Adaptive 1-bit transport with stress-based state machine	docs/semantics/ADAPTIVE_1BIT_CMYK_MERGED.md	Spec	✅	141,145,147	LAYER_K_SIGNAL	control_bind
151	Extended_Cognitive_Load_v2	Cognitive Load	L_cog(x) = L_comp(x) + λ_D·E_dist(x); L_comp = λ_H·H(x) + λ_B·B(x) + λ_R·R(x); E_dist = μ_κ·Δκ(x) + μ_Θ·ΔΘ(x) + μ_Λ·ΔΛ(x) + μ_ρ·Δρ(x)	H=entropy, B=branching, R=recursion depth, Δκ=substrate mismatch, ΔΘ=temporal mismatch, ΔΛ=structural mismatch, Δρ=saturation imbalance	Pressure-adaptive cognitive load: complexity + distortion energy to maintain coherence	docs/semantics/PBACS_COGNITIVE_LOAD_REVISION.md	Spec	✅	6,7,8,152,153	LAYER_A_COMPRESSION	informational_bind
153	Release_Index_R	Manifold Dynamics	R(x) = E_dist(x) / (ρ_avail(x) + ε)	E_dist=distortion energy, ρ_avail=effective available resource flow, ε=small constant	Critical threshold: R<1 gradual adaptation, R≥1 discontinuous reconfiguration/throat/reset	docs/semantics/PBACS_COGNITIVE_LOAD_REVISION.md	Spec	✅	151,152	LAYER_F_CONTROL	control_bind
154	PBACS_Stress_v2	PBACS Signal	stress_t = α|e_t| + β|μ̂_t - μ*_t| + γ·attest_t + δ·Ê_dist(x_t)	e=residual, μ=density mismatch, attest=attestation, Ê_dist=stored manifold mismatch energy	Upgraded stress: reacts to signal AND stored manifold mismatch energy	docs/semantics/PBACS_COGNITIVE_LOAD_REVISION.md	Spec	✅	144,151,145	LAYER_F_CONTROL	control_bind
155	Cognitive_Load_Revised_Admissibility	Cognitive Load	L_cog(x) ≤ L_max ∧ R(x) < 1; violation modes: L>L_max→NoSurface, R≥1→Forced Transition/Throat/Reset	L_max=maximum load, R=release index, NoSurface/Throat=failure modes	Two-constraint admissibility: load AND release index must both be satisfied	docs/semantics/PBACS_COGNITIVE_LOAD_REVISION.md	Spec	✅	151,153	LAYER_E_VERIFICATION	control_bind
156	Normalized_Cognitive_Load_v2	Cognitive Load	L̂_cog(x) = λ_H·Ĥ(x) + λ_B·B̂(x) + λ_R·R̂(x) + λ_D·Ê_dist(x); Ê_dist = μ_κ·Δ̂κ + μ_Θ·Δ̂Θ + μ_Λ·Δ̂Λ + μ_ρ·Δ̂ρ	All components normalized [0,1], λ weights sum to 1	Operational normalized form for simulation and thresholding	docs/semantics/PBACS_COGNITIVE_LOAD_REVISION.md	Spec	✅	151	LAYER_A_COMPRESSION	informational_bind
157	Phonon_Graph_Force	Phonon Graph	F(i, j) = e^(-d/127) * cos(2πd/127); d = |i - j|	d=distance between positions, 127=φ⁷≈29.03→period, e^(-d/127)=damping	Damped oscillating force law holding engrams together; self-contained, 32 chars	docs/semantics/PHONON_GRAPH_EQUATION.md	Spec	✅	6,152	LAYER_K_SIGNAL	physical_bind
158	Phonon_Damage_Trace	Phonon Graph	DamagePattern(i) = F(i, i₀) ⊕ F(i, i₁) ⊕ ... ⊕ F(i, iₙ)	i₀...iₙ=reference positions, ⊕=XOR of force signatures	Junk DNA pattern: repeating phonon force signature attached to code sections	docs/semantics/PHONON_DAMAGE_TRACE.md	Spec	✅	157	LAYER_E_VERIFICATION	informational_bind
159	Phonon_Rederivation_Mechanism	Phonon Graph	HowDamaged = argmin_D ||ObservedPattern - ExpectedPattern(D)||; D ∈ {bit_flip, shift, truncation, swap}	D=damage type, ExpectedPattern(D)=phonon signature under damage model D	Post-hoc damage reconstruction: compare observed to expected under each damage model	docs/semantics/PHONON_REDERIVATION.md	Spec	✅	157,158	LAYER_E_VERIFICATION	control_bind
160	Emoji_Machine_Core	Emoji Machine	LUT[s] → (emit, next); next = emit; s,emit,next ∈ Unicode	LUT=lookup table, s=current state/codepoint, emit=output codepoint	Quine-like self-referential machine: output IS next state address	docs/semantics/EMOJI_MACHINE.md	Spec	⚠️	-	LAYER_K_SIGNAL	control_bind
161	Emoji_Machine_Bounded	Emoji Machine	LUT[s] → (emit, next); next = emit; s,emit,next ∈ Fin 65536 (BMP only)	LUT=64K entries, s=16-bit state index, emit=output codepoint	Finite version: restricted to Basic Multilingual Plane (16-bit)	docs/semantics/EMOJI_MACHINE.md	Spec	✅	160	LAYER_K_SIGNAL	control_bind
162	Emoji_Machine_Recovery_Claim	Emoji Machine	∀ positions p in trajectory T: LUT[p] must equal the unique successor in T	T=trajectory/cycle, p=position in state space, LUT[p]=required transition	Structural constraint: valid trajectories enforce their own consistency	docs/semantics/EMOJI_MACHINE.md	Spec	⚠️	160,161	LAYER_E_VERIFICATION	control_bind
163	Prime_Hash_Watermark	Combined System	Every P bits: embed prime π where π = HashToPrime(H(chunk)); H=SHA256, chunk=preceding P bits	P=period (≈127=φ⁷), π=prime encoding hash, chunk=bit segment	Periodic prime watermarks for integrity verification; primes encode hash of preceding stream	docs/semantics/PRIME_HASH_WATERMARK.md	Spec	⚠️	157,6	LAYER_E_VERIFICATION	control_bind
164	Cartesian_Map_Encoding	Encoding System	Symbol(s) → (x, y) ∈ Fin W × Fin H; W×H = 2^16 = 65536	s=symbol index, (x,y)=Cartesian coordinates, W=width, H=height	Fixed 2D grid replaces UTF-8: 16-bit address space, direct indexing, no parsing	docs/semantics/CARTESIAN_MAP_ENCODING.md	Spec	✅	160,161	LAYER_K_SIGNAL	control_bind
165	Unified_Cartesian_State_Machine	Cartesian System	(xₜ₊₁, yₜ₊₁) = LUT[xₜ, yₜ]; x,y ∈ Fin 256	LUT=64K entry table, (x,y)=current state, emit=next state	Self-contained state machine: output coordinate IS next address	docs/semantics/CARTESIAN_PHONON_PRIME_INTEGRATION.md	Spec	✅	164,152	LAYER_K_SIGNAL	control_bind
166	Cartesian_Manhattan_Distance	Cartesian System	d_M(cᵢ, cⱼ) = |xᵢ - xⱼ| + |yᵢ - yⱼ|	cᵢ,cⱼ=coordinates, d_M=Manhattan distance	Hardware-efficient distance: no multiply, no sqrt	docs/semantics/CARTESIAN_PHONON_PRIME_INTEGRATION.md	Spec	✅	157,165	LAYER_C_TOPOLOGY	geometric_bind
167	Cartesian_Phonon_Force_Law	Cartesian System	F(cᵢ,cⱼ) = e^(-d_M/127) * cos(2πd_M/127); d_M=|xᵢ-xⱼ|+|yᵢ-yⱼ|	d_M=Manhattan distance, 127=phonon period	Phonon correlation on 2D grid using Manhattan metric	docs/semantics/CARTESIAN_PHONON_PRIME_INTEGRATION.md	Spec	✅	157,166	LAYER_K_SIGNAL	physical_bind
168	Neighbor_Consensus_Recovery	Cartesian System	LUT_repaired[x,y] = mode{LUT[x±1,y], LUT[x,y±1]}	mode=majority vote, neighbors=4-connected (N,S,E,W)	Self-healing: repair damaged cell via neighbor consensus	docs/semantics/CARTESIAN_PHONON_PRIME_INTEGRATION.md	Spec	✅	165,167	LAYER_E_VERIFICATION	control_bind
169	Error_Dimension_Correction	Cartesian System	e = ErrorType × Magnitude; CorrectionSpace = (x, y, e) ∈ Fin 256 × Fin 256 × Fin N	e=error coordinate, N=error type space	Errors induce new dimensional axis; damage becomes navigable coordinate	docs/semantics/ERROR_DIMENSION_CORRECTION.md	Spec	⚠️	165,168	LAYER_E_VERIFICATION	control_bind
170	Original_Coordinate_Neighborhood_Recovery	Cartesian System	N(x,y) = {(x±1,y), (x,y±1), (x±1,y±1)}; Recovery: ∀n∈N(x,y), Verify(n) → Consensus(x,y)	(x,y)=original coordinate, N=8-connected neighborhood, Verify=attestation check	Use original coordinate to locate neighborhood; verify neighbors to recover damaged cell	docs/semantics/NEIGHBORHOOD_RECOVERY.md	Spec	✅	165,168	LAYER_E_VERIFICATION	control_bind
171	Waveprobe_Overlap_Energy_QUBO	Waveprobe QUBO	E(s) = ⟨ψ_past|P̂|ψ_past⟩ = |⟨ψ_curr|ψ_past⟩|²; P̂ = |ψ_curr⟩⟨ψ_curr|	|ψ⟩∈ℂⁿ state vector, P̂=projector, s=candidate state	Overlap energy between active engram state and past witness trace (QUBO objective)	docs/specs/waveprobe_qubo_spec.tex	Spec	✅	172,173,90	LAYER_F_CONTROL	control_bind
172	Waveprobe_QUBO_Matrix	Waveprobe QUBO	Q_ij = c̄_i · c_j; objective: maximize x†Qx over candidate states in search window W	c_i=complex coefficients of |ψ_curr⟩, x=candidate selection vector, W=search window	QUBO matrix form of local Waveprobe selection problem	docs/specs/waveprobe_qubo_spec.tex	Spec	✅	171	LAYER_F_CONTROL	control_bind
173	Waveprobe_Phase_Lock_Coherence	Waveprobe QUBO	φ(s,x) = w_e·φ_e + w_r·φ_r + w_d·φ_d; w_e=0.4, w_r=0.3, w_d=0.3	φ_e=normalized Shannon entropy, φ_r=byte repetition rate, φ_d=4-gram dictionary potential	Fused phase-lock coherence scalar governing Waveprobe overlap magnitude	docs/specs/waveprobe_qubo_spec.tex	Spec	✅	171,131	LAYER_A_COMPRESSION	informational_bind
174	Waveprobe_Bell_Bound	Waveprobe QUBO	|⟨O_AB⟩| ≤ 2; violations (>2) confirm non-classical selection advantage	O_AB=causal order observable between candidate arms A,B	Bell-like bound distinguishing classical matching from quantum-inspired Waveprobe selection	docs/specs/waveprobe_qubo_spec.tex	Spec	✅	171	LAYER_E_VERIFICATION	control_bind
175	Waveprobe_BPB_Conservation	Waveprobe QUBO	BPB(x, s_probe) ≤ BPB(x, s_local); injection admitted iff local bits-per-byte does not increase	BPB=bits-per-byte, s_probe=injected state, s_local=current local state	Information-conservative injection rule preventing spoiler termination of compression trace	docs/specs/waveprobe_qubo_spec.tex	Spec	✅	171,2	LAYER_D_INVARIANTS	informational_bind
554	Boltzmann_State_Weighting	State Weighting	P_i = e^{-\Delta G_i / RT} / \sum e^{-\Delta G_j / RT}	ΔG_i=relative energy, R=gas constant, T=temperature	Weighted average of multiple candidate states based on local stability/energy	tools/lean/Semantics/Semantics/Extensions/ManifoldBlit.lean	Documented	✅	141,412	LAYER_M_LEAN_SEMANTICS	state_bind
555	Rubric_as_Reward_RaR	Agent Logic	R(τ) = Σ w_j · f_judge(τ, r_j)	τ=agent trajectory, r_j=rubric criteria, w_j=weights	Training autonomous agents via semantic judge models and group relative policy optimization	infra/access_control/orchestrator.py	Documented	✅	6,10,412	LAYER_M_LEAN_SEMANTICS	agent_bind
556	Global_Metric_Learning_GML	Metric Learning	d_M^2(x_i,x_j) = (x_i-x_j)^T M (x_i-x_j)	M=PSD matrix, L=decomposition (M=L^TL), S=similar, R=triplets	Optimizing the distance metric directly on the PSD manifold to improve manifold-to-manifold mapping	core/field_solver_emulator.py	Documented	✅	38,75,412	LAYER_C_TOPOLOGY	metric_bind
557	Equation_Chain_YEC	Identity Logic	0 -> 1 -> X -> 1 -> 0	0=Balance, 1=Identity, X=Transformation	Structural lifecycle for mathematical reasoning and invariant verification	tools/lean/Semantics/Semantics/Quantization.lean	Documented	✅	532,412	LAYER_M_LEAN_SEMANTICS	logic_bind
558	Differential_Spectral_Correction_DSC	Signal Correction	xL' = xL + s · (xL - yL)	xL=current low-freq, yL=predicted clean low-freq, s=scaler	Correcting spectral bias and SNR-t drift in iterative reconstruction and signal transport	core/src/dsp_neuromorphic_translation.rs	Documented	✅	141,142,425	LAYER_K_SIGNAL	signal_bind
559	Autogenetic_Update_Rule	Agent Evolution	A_{t+1} = A_t + η ∇_A [M_t + Φ]	η=meta-learning rate, M_t=meta-objective, Φ=homeostasis	Mathematical framework for autonomous self-modification of agent protocols and logic	infra/access_control/orchestrator.py	Documented	✅	555,412,101	LAYER_M_LEAN_SEMANTICS	agent_bind
182	Hardy-Weinberg	Population Genetics	$p^2 + 2pq + q^2 = 1$		Genetic state closure condition	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
183	Arrhenius Eq	Thermodynamics	$k = A e^{-E_a/RT}$		Thermal metabolic deformation tensor	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
184	Fick's Law	Thermodynamics	$J = -D \nabla \phi$		Laplace-Beltrami diffusion operator	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
185	RNA Folding ΔG	Biophysics	$\Delta G = \sum E_{stack} + E_{loop}$		Thermodynamic information topology	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
186	Central Dogma ODE	Genetics	$\dot{m} = \alpha_m - \delta_m m$		Cellular state production drift	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
187	Hill Regulation	Control Theory	$f(X) = X^n / (K^n + X^n)$		Nonlinear saturation feedback	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
188	Waddington Potential	Developmental Biology	$V(x) = x^4/4 - bx^2/2 - ax$		Epigenetic landscape bifurcation	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
189	Turing Morphogenesis	Control Theory	$\partial_t u = \Delta_{LB} u + f(u,v)$	u,v=morphogen concentrations, Δ_LB=Laplace-Beltrami, f=reaction	Spontaneous symmetry breaking	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
190	Replicator Eq	Evolutionary Dynamics	$\dot{x}_i = x_i(f_i - \bar{f})$		Evolutionary game theory flow	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
191	Social Force Model	Behavioral Dynamics	$F = -\nabla V_{soc}$		Collective human trajectory manifold	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
192	Free Energy Principle	Information Theory	$F = \mathbb{E}_q [\ln q - \ln p]$		Variational self-organization invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
193	Fisher's Theorem	Population Genetics	$\dot{M} = \text{Var}_A(w)$		Population fitness increase identity	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
194	Neutral Theory (Kimura)	Evolutionary Dynamics	$k = v$		Genomic drift baseline law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
195	Wilson-Cowan Eq	Control Theory	$\dot{E} = -E + S(wE - wI + P)$		Mean-field neural population dynamics	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
196	Wolff's Law Equilibrium	Biomechanics	$[T, H] = 0$		Biomechanical structural optimization	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
197	Onsager Reciprocity	Thermodynamics	$L_{ij} = L_{ji}$		Coupled transport symmetry law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
198	Jarzynski Equality	Thermodynamics	$\langle e^{-\beta W} \rangle = e^{-\beta \Delta F}$		Non-equilibrium information physics	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
199	Flux Balance (FBA)	Metabolism	$S \cdot v = 0$		Metabolic steady-state constraint	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
200	Gierer-Meinhardt	Developmental Biology	$\dot{a} = \rho a^2/i - \mu a + \sigma$		Morphogenetic pattern formation engine	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
201	Price Equation	Evolutionary Dynamics	$\Delta \bar{z} = \text{cov}(w,z)/\bar{w} + E[w \Delta z]/\bar{w}$		General law of selection and transmission	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
202	Quasispecies Eq	Evolutionary Dynamics	$\dot{x}_i = (w_i q_i - \bar{w})x_i + \sum w_{ij} x_j$		Molecular evolution error threshold	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
203	May's Stability	Ecology	$s \sqrt{nC} < 1$		Ecosystem diversity-stability constraint	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
204	MaxEnt Production	Thermodynamics	$\sigma = \sum J_k X_k \to \text{max}$		Thermodynamic network steady-state law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
205	Wright-Fisher Drift	Population Genetics	$\text{Var}(\Delta p) = p(1-p)/N$		Stochastic genetic sampling invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
206	Daisyworld Homeostasis	Ecology	$\dot{w} = w(\beta x - \gamma)$		Planetary-scale regulatory feedback	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
207	MTE Master Eq	Biophysics	$I = i_0 M^{3/4} e^{-E/kT}$		Thermodynamic constraint on life rates	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
208	Lifespan Scaling	Biophysics	$t_L \propto M^{1/4}$		Biological time invariant across species	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
209	Simplicial Clique	Topology	$n\text{-simplex} = \text{clique}(n+1)$		High-dimensional neural connectivity unit	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
210	Cavity Persistence	Topology	$\Delta \beta_k = \text{birth} - \text{death}$		Topological information processing metric	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
211	Reproductive Effort	Life History	$Et/M \approx \text{const}$		Lifetime energy efficiency invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
212	Radical Pair Eq	Quantum Biology	$\dot{\rho} = -i[H,\rho] - \sum k_i \{P_i, \rho\}$		Quantum magnetoreception dynamics	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
213	Exciton Transfer	Quantum Biology	$H = \sum \epsilon		m\rangle\langle m	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
214	Proton Tunneling	Quantum Biology	$k \approx \nu \exp(-2 \int \sqrt{2m(V-E)}/\hbar)$		Quantum-induced DNA mutation rate	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
215	Genetic Toggle	Synthetic Biology	$\dot{u} = \alpha_1/(1+v^\beta) - u$		Synthetic bistable memory switch	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
216	The Repressilator	Synthetic Biology	$\dot{m}_i = -m_i + \alpha/(1+p_j^n)$		Synthetic genetic oscillator circuit	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
217	Feed-Forward Loop	Synthetic Biology	$Z = f(X, Y)$		Biological network logic gate motif	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
218	Competitive Exclusion	Ecology	$dN/dt = rN(K-N-\alpha M)/K$		Gause's law of niche partitioning	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
219	Allee Effect	Ecology	$\dot{N} = rN(N/A-1)(1-N/K)$		Population resilience threshold	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
220	Island Biogeography	Ecology	$dS/dt = I - E$		Species equilibrium on islands	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
221	Marginal Value Thm	Ecology	$g'(T) = g(T)/(T+\tau)$		Optimal foraging stay-time law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
222	Hamilton's Rule	Evolutionary Dynamics	$rB > C$		Kin selection altruism identity	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
223	Poiseuille's Law	Physiology	$Q = \Delta P \pi r^4 / 8\eta L$		Cardiovascular flow rate law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
224	Starling's Law	Physiology	$SV \propto EDV$		Cardiac contractility invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
225	Fick Principle	Physiology	$CO = VO_2 / \Delta [O_2]$		Cardiac output measurement law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
226	SA:V Scaling Law	Biophysics	$SA/V \propto 1/L$		Bergmann/Allen climate adaptation rule	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
227	Cope's Rule	Evolutionary Dynamics	$S_t = S_0 e^{kt}$		Macroevolutionary body size trend	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
228	Clonal Selection	Immunology	$\dot{B} = (r(A) - d)B$		Lymphocyte clone expansion law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
229	Viral Kinetics	Epidemiology	$T-I-V$ system		Viral load and target cell dynamics	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
230	Circadian Oscillator	Neuroscience	Van der Pol eq		Self-sustained biological rhythms	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
231	Muscle Force-Vel	Biomechanics	$(F+a)(v+b) = \text{const}$		Hill's hyperbolic muscle law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
232	Behavioral Attractor	Neuroscience	Lorenz system		Nonlinear behavioral state flow	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
233	Gompertz-Makeham	Demography	$\mu(x) = \alpha e^{\beta x} + \lambda$		Fundamental law of human mortality	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
234	Cancer Invasion	Oncology	$T-N-L$ system		Gatenby's evolutionary oncology model	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
235	Izhikevich Neuron	Neuroscience	Hybrid spiking eq		Efficient cortical firing dynamics	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
236	Kuramoto Synchrony	Neuroscience	$r =		(1/N) \sum e^{i\theta}	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
237	Pipe Model Theory	Botany	$A_{parent} = \sum A_{daughters}$		Botanical area-preserving branching law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
238	Integrated Information	Neuroscience	$\Phi = D_{KL} [ p(X)			docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
239	Neuronal Workspace	Neuroscience	$S = \text{sigmoid}(W_{asc} \Phi(W_{desc}))$		GNW global broadcast gating law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
240	Objective Reduction	Quantum Biology	$\tau \approx \hbar / E_G$		Orch-OR quantum consciousness event	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
241	Sonar Ranging	Biophysics	$R = c \Delta t / 2$		Bio-acoustic distance invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
242	Auditory Filter	Perception	$g(t) = a t^{n-1} e^{-2\pi bt}$		Gammatone cochlear processing model	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
243	Kinematic Replication	Developmental Biology	$N \propto \int \sigma(v, \text{shape}) dt$		Xenobot self-assembly probability	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
244	Vicsek Swarming	Behavioral Dynamics	$\theta_{t+1} = \langle \theta \rangle + \Delta \theta$		Collective motion phase transition law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
245	Lévy Flight	Behavioral Dynamics	$P(l) \sim l^{-\mu}$		Superdiffusive animal search invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
246	Cable Equation	Biophysics	$\lambda^2 \partial^2 V / \partial x^2 = \tau \dot{V} + V$		Passive electrical signal decay law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
247	Membrane Tension	Biophysics	$\Delta P = 2\gamma / R$		Young-Laplace curvature-pressure law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
248	Osmotic Pressure	Biophysics	$\Pi = icRT$		Van 't Hoff protocell internal pressure	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
249	Info Bottleneck	Information Theory	$\min I(X;Z) - \beta I(Z;Y)$		Optimal neural compression principle	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
250	Predictive Coding	Information Theory	$\dot{r} \propto U^T(I - f(Ur))$		Hierarchical prediction error update	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
251	Weber-Fechner Law	Perception	$S = k \ln(I/I_0)$		Logarithmic perception scaling law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
252	Stevens' Power Law	Perception	$S = k I^a$		Modality-specific stimulus scaling	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
253	WBE Branching	Biophysics	$\beta = n^{-1/2}, \gamma = n^{-1/3}$		Fractal vascular network ratios	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
254	Energy Invariant	Biophysics	$E_{total} \approx \text{const}$		Universal lifetime energy budget law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
255	ROS Damage	Biophysics	$\dot{D} = k \Phi_{ROS} - R$		Mitochondrial oxidative aging model	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
256	Maturity Invariant	Life History	$\alpha \cdot M \approx \text{const}$		Charnov's maturity-mortality law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
257	Fecundity Ratio	Life History	$b/M \approx \text{const}$		Reproductive effort life-history invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
258	Hill Equation	Biophysics	$Y = [L]^n / (K_d + [L]^n)$		Molecular cooperativity law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
259	Adair Equation	Biophysics	$Y = \sum i K_i L^i / n(1 + \sum K_i L^i)$		Stepwise thermodynamic binding law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
260	MWC Allostery	Biophysics	$Y = f(\alpha, L, c)$		Concerted symmetry-state transition	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
261	KNF Allostery	Biophysics	$Y = f(\alpha, K_{int})$		Sequential induced-fit binding law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
262	Opponent Theory	Perception	$RG = L - 2M, BY = (L+M) - S$		LMS cone-to-opponent channel law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
263	Retinex Designator	Perception	$R = \log(I/I_{sur})$		Land's color constancy invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
264	Lateral Inhibition	Perception	$r_p = e_p - \sum k_j r_j$		Hartline-Ratliff edge enhancement law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
265	CIELAB Mapping	Perception	$f(t) = t^{1/3}$		Perceptually uniform color scaling	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
266	Morpho-Transform	Developmental Biology	$x' = f(x, y), y' = g(x, y)$		D'Arcy Thompson coordinate mapping	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
267	Murray's Law	Biophysics	$r_0^3 = \sum r_i^3$		Optimal vascular branching invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
268	DNA Linking Num	Topology	$Lk = Tw + Wr$		Topological constraint on circular DNA	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
269	Brain Allometry	Neuroscience	$E = k S^\alpha$		Brain-body mass power law scaling	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
270	EQ Index	Neuroscience	$EQ = E / k S^{2/3}$		Encephalization quotient metric	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
271	Mendelian Sum	Genetics	$(p+q)^2 = 1$		Genotypic probability distribution law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
272	Morgan Linkage	Genetics	$RF = (Rec/Total) \times 100$		centiMorgan genetic distance law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
273	Liebig's Law	Ecology	$Y = \min(k_i R_i)$		Limiting factor growth invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
274	Shelford Tolerance	Ecology	$P(x) \propto \exp(-\Delta x^2/2\sigma^2)$		Gaussian environmental performance law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
275	Polygenic CLT	Genetics	$X = \sum g_i + \epsilon$		Additive trait convergence identity	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
276	Nernst Potential	Biophysics	$E = (RT/zF) \ln(C_{out}/C_{in})$		Ion-specific reversal potential law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
277	GHK Equation	Biophysics	$V_m = f(P_i, C_i)$		Resting membrane potential invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
278	Donnan Product	Biophysics	$[K]_{in}[Cl]_{in} = [K]_{out}[Cl]_{out}$		Passive ion distribution equilibrium	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
279	Gibbs-Duhem Eq	Biophysics	$\sum n_i d\mu_i = 0$		Cellular chemical potential coupling	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
280	Second Bio-Law	Biophysics	$\Delta S_{tot} > 0$		Biological entropy export requirement	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
281	French Flag Model	Developmental Biology	$C(x) \to \{B, W, R\}$		Positional information threshold law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
282	SDD Gradient	Developmental Biology	$C(x) = C_0 e^{-x/\lambda}$		Source-Diffusion-Degradation steady state	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
283	Lewis's Law	Biophysics	$A_n \propto 1 + \alpha(n-6)$		Cell area-neighbor topological law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
284	Aboav-Weaire Law	Biophysics	$m(n) = 5 + 6/n$		Neighbor-neighbor topology invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
285	Growth Dilution	Ecology	$\dot{C} = -C \nabla \cdot V$		Advective scaling on growing manifolds	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
286	Redfield Ratio	Biogeochemistry	$C:N:P = 106:16:1$		Biogeochemical stoichiometry invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
287	Holling Response	Ecology	$f(N) = aN / (1+ahN)$		Predator-prey functional response laws	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
288	Eco-Connectance	Ecology	$C = L / S^2$		Food web structural complexity metric	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
289	Taylor's Law	Ecology	$\sigma^2 = a \mu^b$		Population density variance scaling law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
290	Logistic Map	Ecology	$x_{n+1} = rx(1-x)$		Discrete population chaos transition	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
291	Lotka's Invariant	Demography	$\int e^{-ra} p(a) m(a) da = 1$		Stable population age distribution law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
292	Tetz's Law	Evolutionary Biology	$t_{death} \leftarrow q(t) \ge q_{max}$		Pangenome alteration lifespan limit	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
293	Survival Limit	Demography	$P(S) \to 0$		Stretched exponential mortality plateau	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
294	Genomic Entropy	Genetics	$H = -\sum p \log p$		DNA/RNA sequence information content	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
295	Codon Hamming	Genetics	$d_H = \sum [b_i \neq b_j]$		Genetic mutation cost metric	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
296	Bio-Capacity	Genetics	$C = 1 - H(p)$		Maximum sustainable replication rate	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
297	Error Catastrophe	Evolutionary Biology	$p_{max} \approx \ln(\sigma)/L$		Information persistence limit law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
298	Bio-Hamiltonian	Evolutionary Biology	$H = p \cdot f(x,u,t)$		Pontryagin life-history optimization	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
299	Requisite Variety	Control Theory	$V_{sys} \ge V_{env}$		Ashby's homeostatic stability law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
300	Bio-Reinforcement	Neuroscience	$\Delta V = r - V$		Integral RL optimal control update	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
301	Pareto Robustness	Evolutionary Biology	$Dist(R, P) \to 0$		Performance-reliability trade-off law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
302	Limit Cycle Thm	Dynamical Systems	Poincaré-Bendixson		Rhythmic robustness necessity law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
303	Phase Singularity	Dynamical Systems	$\text{Amp} \to 0$ at $S^*$		Winfree's topological clock stopping	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
304	Self-Assembly ΔG	Biophysics	$\Delta G = \Delta H - T\Delta S$		Hydrophobic structure formation law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
305	CMC Threshold	Biophysics	$C > CMC$		Micelle formation phase transition	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
306	DNA Tile Logic	Biophysics	$G_a \equiv G_b > T$		Algorithmic self-assembly matching	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
307	Hawk-Dove ESS	Evolutionary Biology	$p = V/C$		Evolutionary game mixed strategy	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
308	Van Valen's Law	Evolutionary Biology	$\ln N = -kt + C$		Constant extinction probability law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
309	Scale-Free Dist	Network Theory	$P(k) \propto k^{-\gamma}$		Biological network structural invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
310	Preferential Att	Network Theory	$w_i \propto k_i$		Network hub formation mechanism	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
311	Neutrality Rule	Evolutionary Biology	$		s	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
312	Adami Complexity	Evolutionary Biology	$C = L - H$		Genomic information measure	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
313	Regulatory Law	Genetics	$R \propto N^2$		Quadratic scaling of transcription factors	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
314	Revelle Factor	Biogeochemistry	$\beta = \Delta pCO_2 / \Delta DIC$		Oceanic chemical buffer capacity law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
315	Remineral Ratio	Biogeochemistry	$O:C \approx 1.3$		Redfield-Kester remineralization invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
316	Small-World Law	Network Theory	$C(\beta) \sim (1-\beta)^3$		Local clustering in modular networks	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
317	Modularity Q	Network Theory	$Q = \sum (e_{ii} - a_i^2)$		Network functional division metric	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
318	HOT Principle	Complexity Theory	$\min \sum P_i L_i$		Robustness-fragility optimization law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
319	Complexity Law	Complexity Theory	$\sigma^2(t) = \sigma^2(0) + 2Dt$		McShea's spontaneous complexity growth	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
320	GK-Switch	Biophysics	$x = G(v_1, v_2, J_1, J_2)$		Zeroth-order ultrasensitivity law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
321	Mitotic Oscillator	Cell Biology	$\dot{u}, \dot{v}$ (Tyson)		Cell cycle limit cycle dynamics	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
322	PER-CRY Feedback	Circadian Biology	$Rate = K^n / (K^n + R^n)$		Molecular circadian clock repression	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
323	Keller-Segel	Developmental Biology	$J = \chi u \nabla c$		Chemotactic advection-diffusion law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
324	Epigenetic Clock	Epigenetics	$Age = \sum \beta_i \cdot DNAm_i$		Horvath's methylation-based aging law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
325	Kinetic Proofread	Biophysics	$\eta \approx (\eta_{eq})^N$		Energy-driven biological error correction	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
326	Biodiversity Num	Ecology	$\theta = 2 J_m \nu$		Hubbell's unified neutral theory metric	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
327	Hick's Law	Cognitive Science	$RT = a + b \log(n+1)$		Decision time vs choice complexity law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
328	Fitts's Law	Cognitive Science	$MT = a + b \log(A/W + 1)$		Motor control speed-accuracy invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
329	Zipf's Law	Information Theory	$P(r) \propto r^{-s}$		Codeword/abundance power law scaling	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
330	Laughlin's Law	Neuroscience	$Cost \propto \text{Capacity}$		Metabolic efficiency of neural information	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
331	Hebb's Law	Neuroscience	$\Delta w = \eta xy$		Fundamental associative learning rule	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
332	Oja's Rule	Neuroscience	$\Delta w = \eta(xy - y^2 w)$		Stable PCA-based synaptic plasticity	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
333	Hopfield Energy	Neuroscience	$E = -0.5 \sum w_{ij} s_i s_j$		Neural attractor memory stability law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
334	Critical Power Law	Complexity Theory	$P(s) \sim s^{-\tau}$		Self-organized criticality invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
335	Broken Stick	Ecology	$E(R_j) = \frac{1}{n} \sum 1/i$		Null model for species abundance	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
336	Niche Breadth	Ecology	$B = 1 / \sum p_i^2$		Levins' specialization-diversity index	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
337	Niche Overlap	Ecology	$M_{jk} = \sum p_j p_k / \sum p_j^2$		Competitive impact asymmetry law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
338	Motor Efficiency	Biophysics	$\eta_{th} = fl / \Delta \mu$		Thermodynamic Brownian ratchet law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
339	Parrondo Paradox	Game Theory	$L_1 + L_2 \to W$		Winning-by-switching evolution law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
340	Somite Size Law	Developmental Biology	$S = v \cdot T$		Clock-and-wavefront segmentation invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
341	Morphogen Scaling	Developmental Biology	$\lambda \propto L$		Expansion-repression scale invariance	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
342	MDDR Growth Law	Developmental Biology	$\dot{M}/M = \text{const}$		Morphogen-dependent cell division rule	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
343	Anfinsen's Dogma	Biophysics	$G_{native} = \min(G)$		Protein native state global minimum	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
344	Levinthal Space	Biophysics	$\Omega = m^n$		Conformational search complexity	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
345	Folding Landscape	Biophysics	$P_i = e^{-E_i/kT} / Z$		Boltzmann conformation distribution	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
346	Contact Order	Biophysics	$CO = (1/LN) \sum \Delta S$		Protein folding rate topological law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
347	Fermat's Path Law	Biophysics	$\sin \theta / v = \text{const}$		Optimal animal trail refraction law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
348	Max Flux Principle	Metabolism	$\max \mathbf{c}^T \mathbf{v}$		Metabolic network optimization objective	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
349	Max Power Law	Thermodynamics	$P = \eta \Phi \to \max$		Lotka's principle of self-organization	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
350	Least Action Law	Physics	$\delta \int (T-V) dt = 0$		Euler-Lagrange population trajectory	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
351	Action Functional	Physics	$S = \int L dt$		Cumulative trajectory cost metric	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
352	CSD Autocorr	Complexity Theory	$\alpha \to 1$ as $\lambda \to 0$		Tipping point early warning signal	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
353	CSD Variance	Complexity Theory	$Var \propto 1 / (1-\alpha^2)$		Noise amplification near instability	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
354	Recovery Rate	Ecology	$\lambda = -1/\tau$		Speed of return to stable equilibrium	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
355	Resilience Basin	Ecology	$Depth, Width$		Geometrical stability of attractors	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
356	Horton Number Law	Biophysics	$N_k = R_B^{K-k}$		Branch count geometric series law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
357	Horton Length Law	Biophysics	$L_k = L_1 R_L^{k-1}$		Branch length geometric series law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
358	WBE Exponent	Biophysics	$\alpha = 3/4$		Metabolic scaling fractal dimension	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
359	Heart Rate Law	Biophysics	$HR \propto M^{-1/4}$		Quarter-power heart rate scaling law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
360	Blood Volume Law	Biophysics	$V_b \propto M^1$		Isometric blood mass invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
361	Sensing Limit	Biophysics	$\delta c/c \sim (Dac\tau)^{-1/2}$		Berg-Purcell chemoreception bound	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
362	Signaling SNR	Biophysics	$SNR \approx \Delta c^2 Dac\tau$		Bialek's physical limit of detectors	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
363	Positional Noise	Biophysics	$\Delta x \approx (\delta c/c) /		\nabla c/c	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
364	Oregonator BZ	Chemical Physics	$x, y, z$ (non-equilibrium)		Chemical oscillator kinetics law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
365	Firefly Synchrony	Neuroscience	$\dot{\theta} = \omega + A \sin(\Delta \theta)$		Pulse-coupled oscillator entrainment	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
366	Bio-Continuity	Biophysics	$\dot{u} + \nabla \cdot (Vu) = F$		General conservation of biological mass	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
367	Strouhal Number	Biomechanics	$St = fA / U$		Propulsive efficiency invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
368	Froude Number	Biomechanics	$Fr = v^2 / gL$		Terrestrial gait transition invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
369	Huxley Muscle Law	Biomechanics	$\dot{n} = f(1-n) - gn$		Myosin cross-bridge attachment kinetics	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
370	Monod Equation	Microbiology	$\mu = \mu_{max} S / (K_s + S)$		Nutrient-limited microbial growth law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
371	Pirt's Law	Microbiology	$q_s = \mu / Y_G + m$		Maintenance energy partitioning law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
372	Verhulst Logistic	Ecology	$\dot{P} = rP(1-P/K)$		Population growth with carrying capacity	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
373	Gompertz Growth	Ecology	$\dot{V} = r V \ln(K/V)$		Asymmetric sigmoidal biomass accumulation	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
374	MCA Control Coeff	Metabolism	$C^J_v = \partial \ln J / \partial \ln v$		System-level metabolic sensitivity	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
375	MCA Summation	Metabolism	$\sum C^J_{v_i} = 1$		Conservation of metabolic control law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
376	Perfect Adapt	Control Theory	$\dot{m} = k_R R - k_B B \phi(A)$		Barkai-Leibler robustness invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
377	Demand Rule	Genetics	$D \to 1 \implies \text{Activator}$		Savageau's regulatory logic selection	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
378	Place Theory	Perception	$m \ddot{x} + \beta \dot{x} + \kappa x = F$		Helmholtz cochlear resonance law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
379	Traveling Wave	Perception	$\phi = \omega t - \int k dx$		Békésy's cochlear wave phase invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
380	Tonotopic Map	Perception	$f = A(10^{ax} - K)$		Greenwood frequency-position function	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
381	Cochlear Amp	Biophysics	$\dot{z} = (\mu+i\omega)z -		z	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
382	R* Theory	Ecology	$R^* = Kd / (\mu_{max} - d)$		Resource-ratio competition equilibrium	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
383	SM Correlation	Demography	$\ln \alpha \approx \ln K - c\beta$		Initial mortality vs aging rate law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
384	Vitality Decay	Demography	$V(t) = V_0(1 - Bt)$		Homeostatic energy reserve decline	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
385	Mortality Plateau	Demography	$\mu(x) \to s$ as $x \to \infty$		Late-life mortality deceleration law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
386	Bark Scale	Perception	$z = 13 \arctan(k f) + \dots$		Perceptual auditory filter rate law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
387	Crit Bandwidth	Perception	$\Delta f = 25 + 75 [1 + 1.4 f^2]^{0.69}$		Ear energy integration bandwidth law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
388	Equal Loudness	Perception	$L_p = f(Phons, f)$		Phon-to-SPL perceptual intensity law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
389	Niche Hypervolume	Ecology	$H = \{ \mathbf{x} \mid L_i \le x_i \le U_i \}$		Hutchinson's fundamental niche law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
390	Nernst-Planck	Biophysics	$J = -D(\nabla c + \frac{ze}{kT} c \nabla \phi)$		Charged ion transport invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
391	Richness Scaling	Ecology	$\ln S = -E/kT + C$		MTE biodiversity-temperature law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
392	FHN Excitability	Neuroscience	$\dot{v}, \dot{w}$ (FitzHugh)		Simplified excitable system law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
393	Swift-Hohenberg	Pattern Formation	$\dot{u} = ru - (1+\nabla^2)^2 u$		Universal pattern formation invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
394	Tissue Stiffness	Biomechanics	$E \propto \rho^n$		Gibson-Ashby density-stiffness scaling	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
395	Cytoskeletal F	Biomechanics	$F = -kx$		Hookean elastic restoring force law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
396	Spiral Vogel	Botany	$\theta = n\psi, r = c\sqrt{n}$		Biological spiral floret arrangement	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
397	Golden Angle	Botany	$\psi \approx 137.5^\circ$		Optimal packing angular invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
398	Hofmeister Rule	Botany	$\max Dist(P_{new}, P_{old})$		Primordium placement growth axiom	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
399	Muller's Ratchet	Evolutionary Biology	$n_0 = N e^{-\lambda/s}$		deleterious mutation accumulation law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
401	Neutral Diversity	Evolutionary Biology	$\theta = 4 N_e u$		Mutation-drift equilibrium invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
402	Reynolds Number	Fluid Dynamics	$Re = \rho u L / \mu$		Inertial-viscous flow regime law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
403	Peclet Number	Fluid Dynamics	$Pe = u L / D$		Advective-diffusive transport ratio	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
404	Darcy's Law	Fluid Dynamics	$v = -(\kappa/\mu) \nabla P$		Interstitial fluid flux invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
405	Starling Eq	Physiology	$J_v = f(\Delta P, \Delta \pi)$		Capillary-tissue filtration rate law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
406	Handicap Principle	Evolutionary Biology	$w = f(a, p, q)$		Costly signaling fitness law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
407	Honesty Condition	Evolutionary Biology	$\partial^2 w / \partial a \partial q > 0$		Marginal cost stability invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
408	Honest Equilibrium	Evolutionary Biology	$P^*[A^*(q)] = q$		Perceptual-quality identity law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
409	Schwan Equation	Biophysics	$V_m = 1.5 E R \cos \theta$		Induced membrane potential law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
410	Cole-Cole Eq	Biophysics	$\varepsilon^* = \varepsilon_\infty + \dots$		Tissue dielectric relaxation invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
411	Dispersion Law	Physics	$\alpha, \beta, \gamma$ regions		Frequency-dependent tissue impedance	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
412	RNA Combinators	Synthetic Biology	$Kxy=x, Sxyz=(xz)(yz)$		Ribosome Turing completeness proof	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
413	BioBrick Logic	Synthetic Biology	$f(A,B) \to C, type(A)=type(C)$		Idempotent genetic assembly law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
414	Genetic Load	Evolutionary Biology	$V_{cell} = I_{load} R_{meta}$		Ohm's law metabolic burden analogy	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
415	Critical Depth	Ecology	$Z_{cr} \propto I_0 / k I_c$		Sverdrup's bloom initiation law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
416	Particle Sinking	Oceanography	$v \propto (\rho_p - \rho_f) R^2$		Stokes' marine snow export invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
417	Q10 Rule	Biophysics	$Q_{10} = (R_2/R_1)^{10/\Delta T}$		Thermal biological rate sensitivity	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
418	Base Saturation	Biogeochemistry	$\%Sat_i = C_i / CEC \times 100$		Albrecht's soil chemistry ratios	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
419	Hyphal Flow	Mycology	$\partial_t n + v \partial_x n = bn$		Schnepf-Roose fungal mining kinetics	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
420	Terraced Barrel	Botany	$\mu = \min(I_S, \tilde{I})$		Global physical growth constraint law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
421	Reliability Law	Engineering	$P(t) = 1 - (1-e^{-kt})^n$		Redundant system aging invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
422	Reaction Prop	Chemistry	$a_j = c_j h_j$		Stochastic event probability density	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
423	Gillespie Step	Stochastic Processes	$\tau = (1/a_0) \ln(1/r)$		Discrete event-waiting time invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
424	Master Equation	Statistical Mechanics	$\dot{P} = \sum [aP_{pre} - aP_{post}]$		State probability density flow law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
425	Masking Slope	Perception	$S_2 \approx 24 + 230/f - 0.2L$		Zwicker's upward spread of masking	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
426	SMR Priority	Neuroscience	$SMR = L_{sig} - L_{mask}$		Informational saliency filtering law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
427	Specific Loudness	Perception	$N' = k (E/E_0)^{0.23}$		Auditory power-law intensity invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
428	STDP Law	Neuroscience	$\Delta w \propto \exp(-\Delta t/\tau)$		Timing-dependent synaptic plasticity	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
429	Trophic 10% Rule	Ecology	$P_n = 0.1 P_{n-1}$		Energy transfer attenuation invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
430	Slender-Body F	Fluid Dynamics	$f = -\partial_t(mv) - U \partial_x(mv)$		Lighthill's reactive swimming force	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
431	DVM Fitness	Marine Biology	$F(z) = g(z,t) - \mu(z,t)$		Migration depth optimization law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
432	Swim Response	Marine Biology	$w = w_{max} \tanh(\alpha \Delta I)$		Light-dependent vertical speed	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
433	Turbulent Encounter	Fluid Dynamics	$E = \pi R^2 \sqrt{\sum v_i^2} C$		Rothschild-Osborn foraging law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
434	Patch Residence	Ecology	$f'(t^*) = f(t^*)/(T+t^*)$		MVT optimal stay-time invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
435	Input Matching	Foraging Theory	$N_i/\sum N = R_i/\sum R$		Ideal Free Distribution (IFD) law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
436	Fitness Equi	Evolutionary Biology	$F_i(N_i) = F_j(N_j)$		Payoff equilibration in social groups	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
437	V-Formation Upwash	Aerodynamics	$v \propto \Gamma / r$		Aerodynamic vortex-capture law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
438	Induced Drag Law	Aerodynamics	$D_i \propto L^2 / \rho V^2$		Formation flight drag reduction	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
439	Flight Efficiency	Aerodynamics	$Range \times 1.71$		Collective aerodynamic range extension	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
440	Reproduction Num	Demography	$R_0 = \beta / \gamma$		Basic disease transmission invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
441	Herd Immunity	Epidemiology	$HIT = 1 - 1/R_0$		Contagion resistance threshold law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
442	SIR Dynamics	Epidemiology	$\dot{S}, \dot{I}, \dot{R}$		Compartmental infectious disease model	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
443	NDZ Model	Ecology	$\dot{C} = \nabla \cdot [D \nabla C + vC/b]$		Nutrient depletion zone kinetics	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
444	Root Uptake	Plant Physiology	$F = I_{max} \Delta c / (K_m + \Delta c)$		Root surface nutrient flux law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
445	Root Fractal	Plant Physiology	$N(\epsilon) \propto \epsilon^{-D}$		Root system space-filling invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
446	Constructal Law	Physics	$d_1/d_0 = n^{-1/3}$		Bejan's optimal flow configuration law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
447	Muscle Mechanics	Biomechanics	$(F+a)(v+b) = \text{const}$		Hill's 3-element contractile model	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
448	Square-Cube Law	Biophysics	$SA \propto L^2, V \propto L^3$		Geometric scaling limit on organism size	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
449	Fung's Law	Biophysics	$\sigma \propto e^{\epsilon^2}$		Exponential strain-stiffening invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
450	Alveolar Laplace	Physiology	$P = 2\gamma / r$		Lung stability surface-tension law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
451	Ventricular Wall	Physiology	$\sigma = Pr / 2h$		Cardiac stress-thickness invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
452	Process S	Metabolism	$\dot{S} \propto (S_{max} - S)$		Homeostatic sleep pressure law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
453	Process C	Metabolism	$H^{\pm} = \text{mean} \pm A\cos(\omega t)$		Circadian drive threshold invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
454	Aschoff's Rule	Chronobiology	$\tau(I) = \tau_0 \pm k \log I$		Internal clock period scaling law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
455	Lack's Principle	Ecology	$W = n \cdot P(n)$		Optimal reproductive clutch size law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
456	Smith-Fretwell	Evolutionary Biology	$W = (R/s) f(s)$		Offspring size-number trade-off law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
457	Repro Scaling	Evolutionary Biology	$R \propto M^{3/4}$		Life-history resource allocation law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
458	Dunbar's Law	Social Neuroscience	$\log N \propto \log CR$		Social brain group-size limit law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
459	Relationship Law	Social Science	$R = N(N-1)/2$		Quadratic growth of social links	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
460	Brain Curvature	Neuroscience	$\log E \propto (\log S)^2$		Brain-body curvilinear scaling law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
461	Glottal Bernoulli	Biophysics	$P_g = P_s - 0.5 \rho v^2$		Vocal fold aerodynamic suction law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
462	Source-Filter	Speech Science	$P(z) = S(z)V(z)R(z)$		Vocal production linear system model	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
463	Pitch Scaling	Speech Science	$f_0 \propto M^{-0.4}$		Fletcher's optimal communication pitch	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
464	VTL Scaling	Speech Science	$VTL \propto M^{1/3}$		Vocal tract geometric scaling invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
465	Tissue Fluence	Biophysics	$\frac{1}{c}\dot{\Phi} = D \nabla^2 \Phi - \mu_a \Phi + S$		Light transport diffusion approximation	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
466	Luciferase Law	Molecular Biology	$v = V_{max} [S] / (K_m + [S])$		Bioluminescence kinetic emission rate	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
467	Beer-Lambert	Chemistry	$I = I_0 e^{-\mu_a z}$		Light intensity attenuation in tissue	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
468	Cole's Paradox	Evolutionary Biology	$m_a = m_p + S/s$		Annual vs perennial fitness threshold	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
469	Maturity Ratio	Life History	$L_{\alpha} / L_{\infty} \approx 0.65$		Stearns' size-at-maturity invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
470	Allocation Law	Life History	$T = R + S + G$		Fundamental biological energy trade-off	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
471	Euler-Lotka Eq	Demography	$\sum e^{-rx} l_x m_x = 1$		Universal fitness and growth identity	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
472	Rescorla-Wagner	Psychology	$\Delta V = \alpha \beta (\lambda - \sum V)$		Prediction-error based learning law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
473	Cognitive Lévy	Cognitive Science	$P(l) \sim l^{-\mu}$		Heavy-tailed information search law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
474	Cognitive MVT	Foraging Theory	$R'(t^*) = R(t^*)/(t^*+\tau)$		Optimal category-switching invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
475	SAM Probability	Evolutionary Biology	$P(i		Q) \propto S(Q, i)$	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
476	Gouy-Stodola	Thermodynamics	$I = T_0 S_{gen}$		Metabolic lost-work exergy destruction	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
477	MinEnt Prod	Thermodynamics	$\dot{S}_{gen} \to \min$		Prigogine's steady-state stability law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
478	MaxEnt Prod	Thermodynamics	$\dot{S}_{gen} \to \max$		Ziegler's far-from-equilibrium drive	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
479	Useful Work	Thermodynamics	$W_{actual} = W_{max} - I$		Thermodynamic metabolic efficiency law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
480	Corner's Law	Ecology	$A_{la} = \alpha A_{cs}^\beta$		Stem-leaf coordinative architecture	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
481	Pipe Model	Botany	$A(z) = c W_L(z)$		Botanical vascular cross-section law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
482	Cavitation Law	Fluid Dynamics	$PLC = f(\psi, \psi_{50})$		Xylem hydraulic vulnerability invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
483	Species-Area Law	Ecology	$S = c A^z$		Arrhenius richness scaling invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
484	Cell Prestress	Biomechanics	$G \approx k \sigma_0$		Tensegrity-based stiffness tuning law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
485	Reciprocal Yield	Agriculture	$1/w = a + bd$		Shinozaki-Kira biomass saturation law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
486	Noble Model	Cardiac Physiology	$C_m \dot{V} = -\sum I_{ion}$		First cardiac action potential model	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
487	Gating Dynamics	Neuroscience	$\dot{x} = \alpha_x(1-x) - \beta_x x$		Noble ion channel state transitions	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
488	Inward Rectifier	Biophysics	$g_{K1} = f(V)$		Noble voltage-dependent K-conductance	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
489	Stevens' 3/2 Law	Perception	$N_{out} \propto N_{in}^{3/2}$		Cortical dimensionality expansion law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
490	White Matter Law	Neuroscience	$V_w \propto V_g^{4/3}$		Neural wiring volume scaling invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
491	Rall's 3/2 Law	Neuroscience	$\sum d_d^{1.5} = d_p^{1.5}$		Dendritic impedance matching invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
492	Synaptic Invariant	Neuroscience	$Syn / Pair \approx 1$		Sparse connectivity discriminatory rule	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
493	Multi-Hit Law	Radiation Biology	$P \approx 1 - e^{-kt^n}$		Knudson's oncogenesis probability law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
494	MCA Elasticity	Metabolism	$\epsilon^v_s = \partial \ln v / \partial \ln s$		Local enzyme-metabolite sensitivity	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
495	Connectivity Thm	Network Theory	$\sum C^J \epsilon = 0$		Flux control-elasticity link identity	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
496	Price Selection	Evolutionary Biology	$S = Cov(w, z) / \bar{w}$		Fitness-trait covariance selection law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
497	Reichardt Detect	Vision Science	$R = I_1 I_2' - I_1' I_2$		Biological motion correlation law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
498	ACO Transition	Chemistry	$P \propto \tau^\alpha \eta^\beta$		Probabilistic ant-trail following law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
499	Pheromone Law	Chemical Ecology	$\tau \leftarrow (1-\rho)\tau + \Delta \tau$		Evaporation-deposition optimization law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
500	Donachie Rule	Cell Biology	$M_{init} / n_{ori} \approx \text{const}$		DNA replication initiation invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
501	Cell Size Law	Cell Biology	$S = S_0 2^{(C+D)/\tau}$		Cooper-Helmstetter size-growth law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
502	Adder Principle	Cell Biology	$V_{div} = V_{birth} + \Delta V$		Incremental cellular volume addition law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
503	Wright's Gradient	Evolutionary Biology	$\dot{q} = \frac{q(1-q)}{2\bar{w}} \nabla \bar{w}$		Evolutionary landscape ascent law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
504	Mean Fitness	Evolutionary Biology	$\bar{w} = \sum p_i^2 w_{ii} + \dots$		Adaptive landscape value identity	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
505	SBT Drift	Evolutionary Biology	$4N_e s < 1$		Shifting balance exploratory condition	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
506	Amari Neural Field	Neuroscience	$\tau \dot{u} = -u + \int wf(u) + I$		Continuous population activity law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
507	Mexican Hat Kernel	Neuroscience	$w(x) = \text{Exc} - \text{Inh}$		Local-excitation lateral-inhibition law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
508	Sigmoid Activity	Neuroscience	$f(u) = 1/(1+e^{-\beta(u-h)})$		Nonlinear population response invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
509	Shell Spiral Law	Biophysics	$r = a e^{b\theta}$		Logarithmic gnomonic growth invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
510	Mass Action Law	Chemistry	$Rate = k [A] [B]$		Fundamental biological kinetic law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
511	Equilibrium Invariant	Thermodynamics	$K_{eq} = [P]/[R]$		Thermodynamic steady-state identity	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
512	Malthusian Law	Demography	$P(t) = P_0 e^{rt}$		Unlimited exponential growth invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
513	Hayflick Limit	Cell Biology	$L_n = L_0 - n\Delta L$		Replicative telomere shortening law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
514	Senescence Rule	Gerontology	$L_n \le L_{crit}$		Critical mass cell division arrest law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
515	Sheldon Spectrum	Oceanography	$B(M) \propto M^0$		Constant biomass per size class law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
516	Inverse Mass N	Ecology	$N(M) \propto M^{-1}$		Mass-abundance scaling invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
517	Productivity Law	Ecology	$P(M) \propto M^{-1/4}$		Size-dependent biological production rate	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
518	Fisher FGM Potential	Evolutionary Biology	$w(z) \propto e^{-		z	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
519	Beneficial Prob	Evolutionary Biology	$P_a \approx 1 - \Phi(r\sqrt{n}/2d)$		Fisher's geometric mutation law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
520	Small Mutation Law	Evolutionary Biology	$r \to 0 \implies P_a \to 0.5$		Gradualism in high-dimensional systems	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
521	Complexity Cost	Evolutionary Biology	$P_a \propto 1/\sqrt{n}$		Adaptation slowdown with trait count	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
522	Gene Family Law	Genetics	$P(i) \propto i^{-\gamma}$		Paralog size power law distribution	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
523	Functional Scale	Evolutionary Biology	$N_c \propto G^\alpha$		Functional category non-linear scaling	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
524	BDIM Dynamics	Evolutionary Biology	$\dot{n}_i = f(\lambda, \delta)$		Birth-death-innovation genome drift	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
525	Margalef Index	Ecology	$D = (S-1) / \ln N$		Sample-size corrected species richness	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
526	Shannon Index	Ecology	$H' = -\sum p_i \ln p_i$		Information-theoretic community uncertainty	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
527	Info-Stability	Information Theory	$Flow \propto 1/Info$		Margalef's stability-complexity law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
528	Info-Shedding	Information Theory	$\dot{D} \propto -Stress$		Diversity loss as energy-saving strategy	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
529	Drake's Rule	Evolutionary Biology	$u \cdot G \approx 0.003$		Universal genomic mutation fidelity law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
530	Drift-Barrier	Evolutionary Biology	$\log(N_e u) \sim \log G$		Non-coding DNA expansion scaling law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
531	Minimal Genome	Genetics	$G_{min} = N_{inf} + N_{met}$		Theoretical gene count floor for life	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
532	Effective Info	Information Theory	$C = G(1-R)$		Redundancy-weighted genomic complexity	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
533	Constrained TEE	Thermodynamics	$TEE = BMR + (1-C)PAEE$		Pontzer's metabolic budget reallocation	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
534	Metabolic Ceiling	Metabolism	$TEE_{max} \approx 2.5 BMR$		Alimentary limit on long-term endurance	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
535	Metabolic Scope	Metabolism	$PAL = TEE / BMR$		Sustainable energy throughput invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
536	Droop Equation	Microbiology	$\mu(Q) \propto 1 - Q_0/Q$		Internal nutrient quota growth law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
537	Herbert's Law	Ecology	$Q = 1/Y = \text{const}$		Constant cell composition invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
538	Quota Dynamics	Ecology	$\dot{Q} = \rho(S) - \mu Q$		Decoupled uptake-growth kinetics	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
539	Homeostatic Eq	Physiology	$y = c x^{1/H}$		Sterner-Elser nutrient regulation law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
540	Damuth's Law	Ecology	$N \propto M^{-3/4}$		Population density-mass scaling law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
541	Unified Metab	Metabolism	$B \propto M^{3/4} e^{-E/kT}$		Temperature-mass unified scaling law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
542	Minimum Volume	Biophysics	$V_{cell} \ge \sum V_{mach}$		Physical floor for autonomous life	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_C_TOPOLOGY	geometric_bind
543	Locomotion Speed	Biomechanics	$V \propto M^{1/6}$		Bejan's universal movement law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
544	Movement Freq	Biomechanics	$f \propto M^{-1/6}$		Universal stride/stroke frequency law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
545	Diffusion Speed	Biophysics	$t \approx x^2 / 2D$		Passive transport speed limit law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_L_APPLICATION	physical_bind
546	Rubisco Limit	Plant Physiology	$A_c = f(V_{cmax}, C_c, O)$		Calvin cycle carboxylation capacity	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
547	RuBP Regen	Plant Physiology	$A_j \approx J/4$		Electron transport regeneration law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
548	Ball-Berry Law	Plant Physiology	$g_s = g_0 + m Ah/C$		Stomatal conductance regulation rule	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
549	Intrinsic WUE	Plant Physiology	$iWUE = A_n / g_s$		Carbon-water compromise efficiency	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
550	Light Response	Plant Physiology	$P_n = \frac{\alpha I P_{max}}{\alpha I + P_{max}}$		Photosynthesis-irradiance saturation law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
551	Reed-Frost Law	Epidemiology	$C_{t+1} = S_t(1 - q^{C_t})$		Chain-binomial infection spread law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
552	Trophic Wave	Ecology	$\dot{\Phi} + \nabla \cdot (K \Phi) = -\mu \Phi$		Continuous biomass flow spectrum law	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_A_COMPRESSION	informational_bind
553	Trophic Kinetic	Ecology	$K = P/B$		Biomass transfer velocity invariant	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_F_CONTROL	control_bind
554	Boltzmann State Weighting	Statistical Mechanics	$P_i = \frac{e^{-\Delta G_i / RT}}{\sum_j e^{-\Delta G_j / RT}}$		Multi-conformer weighting for state prediction	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_G_ENERGY	thermodynamic_bind
555	Rubric-as-Reward (RaR)	Machine Learning	$R(\tau) = \sum w_j \cdot f_{judge}(\tau, r_j)$		Trajectory-based semantic reward for agent training	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_M_LEAN_SEMANTICS	agent_bind
556	Global Metric Learning (GML)	Machine Learning	$d_M^2 = (x_i - x_j)^T L^T L (x_i - x_j)$		Mahalanobis metric optimization on PSD manifolds	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_M_LEAN_SEMANTICS	metric_bind
557	Equation Chain (YEC)	Logic	$0 \to 1 \to X \to 1 \to 0$		Structural lifecycle of mathematical identity and balance	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
558	Differential Spectral Correction (DSC)	Signal Processing	$x_L' = x_L + s \cdot (x_L - y_L)$		Mitigating SNR-t bias via wavelet-domain low-frequency adjustment	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_K_SIGNAL	signal_bind
559	Autogenetic Update Rule	Agent Logic	$\mathcal{A}_{t+1} = \mathcal{A}_t + \eta \nabla_{\mathcal{A}} [\mathcal{M}_t + \Phi]$		Recursive self-modification of agent architecture and meta-objectives	docs/MATH_MODEL_MAP.md	Documented	✅		LAYER_M_LEAN_SEMANTICS	agent_bind
560	Anisotropy_Gradient	Compression	Anisotropy_i = Var(P(transition | feature_i)) / Mean(P(transition | feature_i))	P=transition probability, feature_i=feature index	Quantifying directional bias in feature-byte transitions for Hutter Prize optimization.	data/germane/research/hutter/ANISOTROPIC_FEATURE_GENOME.md	HINT	⚠️	-	LAYER_A_COMPRESSION	informational_bind
561	Procedural_Mirror_Seed	Compression	seed = (entropy * φ + spectral_density * π + log(size+1) / φ) mod 1.0 * 2^64	φ=golden ratio, π=pi, S=size	Selecting regime-based LUT strategies from global corpus metrics.	data/germane/research/hutter/ANISOTROPIC_FEATURE_GENOME.md	HINT	⚠️	-	LAYER_A_COMPRESSION	informational_bind
562	Energy_Aware_Scheduling	Thermodynamic	energy(block) = -log2(P(block) / max(P(all_blocks)))	P=block probability	Ordering speculative decompressor forks by thermodynamic cost.	data/germane/research/hutter/ENERGY_AWARE_DECOMPRESSION.md	HINT	⚠️	-	LAYER_G_ENERGY	thermodynamic_bind
563	Surprise_Regret_Score	Cognitive Load	Score = log(P) - λ · (α·surprise + β·regret)	P=probability, λ=sensitivity, α,β=weights	Homeostatic decision gating for the Waveprobe kernel.	data/germane/research/hutter/COGNITIVE_THERMO_README.md	HINT	⚠️	-	LAYER_A_COMPRESSION	informational_bind
564	aiscroll/ricci_flow_and_turbulence	Manifold Evolution	∂_t g_ij = -2 Ric_ij + μ T_ij	g_ij=metric, Ric=curvature, T=turbulence	Ricci flow with turbulence forcing	data/substrate_index.db	Manual	✅	82,84,37	LAYER_J_DYNAMICS	geometric_bind
566	Normal_Network_Limit_Theorem	Manifold Networking	κ=0 ∧ τ=0 ∧ paths=1 ∧ phase=sequential → ordinary_kernel_networking	κ=curvature, τ=torsion, paths=1, phase=sequential	Manifold networking reduces to ordinary kernel-style networking when manifold becomes flat	tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅	LAYER_C_TOPOLOGY	geometric_bind
567	Manifold_LittleLaw	Manifold Networking	L = λ · W	L=average queue length, λ=arrival rate, W=average waiting time	Little's Law applied to manifold queue states	tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅	566	LAYER_B_ROUTING	informational_bind
568	Manifold_TokenBucket	Manifold Networking	tokens_{t+1} = min(bucketSize, tokens_t + rate·Δt - cost)	tokens=current tokens, rate=refill rate, cost=consume cost, Δt=time delta	Token bucket mathematics for information density conservation	tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅	567,570	LAYER_A_COMPRESSION	informational_bind
569	Manifold_AIMD	Manifold Networking	cwnd_{t+1} = cwnd_t + additiveIncrease (no congestion) OR cwnd_t · multiplicativeDecrease (congestion)	cwnd=congestion window, additiveIncrease=increment per RTT, multiplicativeDecrease=fraction on loss	AIMD congestion control adapted to manifold topology	tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅	566,568	LAYER_F_CONTROL	control_bind
570	Manifold_CUBIC	Manifold Networking	cwnd(t) = C·(t - K)³ + wmax	K = cube_root(wmax·(1-β)/C), wmax=window before congestion, β=decrease factor, C=scaling constant	CUBIC congestion control with cube root growth function	tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅	566,569	LAYER_F_CONTROL	control_bind
571	Manifold_Routing	Manifold Routing	cost(path) = Σ_i (curvature_i·α + torsion_i·β + density_i·γ)	curvature=manifold curvature, torsion=manifold torsion, density=information density, α,β,γ=weights	Non-normal manifold routing based on geometric topology 	tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅	566	LAYER_C_TOPOLOGY	geometric_bind
572	Flat_Limit_Test	Manifold Networking Test	κ=0 ∧ τ=0 ∧ paths=1 → ordinary_queue_behavior	κ=curvature, τ=torsion	Test that flat manifold routing reduces to ordinary queue behavior	tools/lean/Semantics/Semantics/FlatLimitTest.lean	Lean	✅	566,571	LAYER_C_TOPOLOGY	geometric_bind
573	Conservation_Test	Manifold Networking Test	tokens_{t+1} ≥ 0 ∧ tokens_{t+1} ≤ bucketSize	tokens=current tokens, bucketSize=max capacity	Test that information density does not silently vanish or duplicate	tools/lean/Semantics/Semantics/ConservationTest.lean	Lean	✅	568	LAYER_A_COMPRESSION	informational_bind
574	Congestion_Stability_Test	Manifold Networking Test	cwnd_t ≤ cwnd_0 ∧ cwnd_t > 0	cwnd=congestion window, cwnd_0=initial window	Test that AIMD and CUBIC remain bounded under high load	tools/lean/Semantics/Semantics/CongestionStabilityTest.lean	Lean	✅	569,570	LAYER_F_CONTROL	control_bind
575	Fairness_Test	Manifold Networking Test	density_low ≥ threshold_min	density_low=minimum path density, threshold_min=minimum acceptable density	Test that multiple manifold paths do not starve low-density routes	tools/lean/Semantics/Semantics/FairnessTest.lean	Lean	✅	571	LAYER_B_ROUTING	informational_bind
576	Phase_Ordering_Test	Manifold Networking Test	phase_{t+1} ≥ phase_t	phase=manifold phase flag	Test that phase-based flow does not create invalid causal shortcuts	tools/lean/Semantics/Semantics/PhaseOrderingTest.lean	Lean	✅	571	LAYER_D_INVARIANTS	control_bind
577	Adversarial_Topology_Test	Manifold Networking Test	κ > κ_critical ∨ τ > τ_critical → refuse/saturate/renormalize	κ=curvature, τ=torsion, κ_critical,τ_critical=thresholds	Test that extreme curvature/torsion routes are refused, saturated, or renormalized	tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean	Lean	✅	571	LAYER_C_TOPOLOGY	geometric_bind
578	PIST_Mass_Calculation	PIST	mass = a · b = t · (2k+1 - t)	k=shell index, t=offset, a=distance to lower square, b=distance to upper square	Quadratic hyperbola index measuring tension within shell interval	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	579,580	LAYER_C_TOPOLOGY	geometric_bind
579	PIST_Shell_Coordinate	PIST	n = k² + t, where 0 ≤ t ≤ 2k+1	k=shell index, t=offset, n=natural number	Interval-local coordinate representation between consecutive squares	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	578,580	LAYER_C_TOPOLOGY	geometric_bind
580	PIST_Mirror_Involution	PIST	mirror(c) = {k, 2k+1-t} where mass(mirror(c)) = mass(c)	c=coordinate, k=shell index, t=offset	Symmetry operation preserving mass within shell	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	578	LAYER_D_INVARIANTS	geometric_bind
581	PIST_Phase_Classification	PIST	phase(c) = grounded if mass=0 else seismic	c=coordinate, mass=PIST mass	Discrete phase flag based on zero vs positive mass	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	578,579	LAYER_F_CONTROL	control_bind
582	PIST_Resonance_Relation	PIST	Resonant(x,y) ↔ mass(x) = mass(y)	x,y=coordinates	Equivalence relation for states with equal hyperbola index	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	578	LAYER_B_ROUTING	informational_bind
583	PIST_Lyapunov_Functional	PIST	potential(S) = mass(pos) + friction	S=state, pos=coordinate, friction=loss register	Energy-like functional guaranteeing strict descent for lawful transitions	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	578,581	LAYER_G_ENERGY	thermodynamic_bind
584	PIST_Hyperbola_Index	PIST	hyperbolaIndex(n) = a(n) · b(n) where a(n)=n-k², b(n)=(k+1)²-n, k=√n	n=natural number, k=floor(sqrt(n))	Symmetric square-gap tension measure 	tools/lean/Semantics/Semantics/PISTMachine.lean	Lean	✅	578,579	LAYER_C_TOPOLOGY	geometric_bind
585	PIST_Normalized_Tension	PIST	ρ(n) = a(n) / (2k+1) where k=√n	n=natural number, k=floor(sqrt(n)), a=distance to lower square	Tension ratio normalized by shell width [0,1]	tools/lean/Semantics/Semantics/PISTMachine.lean	Lean	✅	578,584	LAYER_G_ENERGY	thermodynamic_bind
586	PIST_Zero_Mass_Theorem	PIST	mass(c) = 0 ↔ t=0 ∨ t=2k+1	c=coordinate, t=offset, k=shell index	Characterization of zero mass at shell endpoints	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	578,579	LAYER_D_INVARIANTS	geometric_bind
587	PIST_Positive_Mass_Theorem	PIST	0 < mass(c) ↔ 0 < t ∧ t < 2k+1	c=coordinate, t=offset, k=shell index	Positive mass equivalent to being strictly inside shell	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	578,586	LAYER_D_INVARIANTS	geometric_bind
588	PIST_Shell_Endpoints	PIST	lower(k) = {k,0}, upper(k) = {k,2k+1}	k=shell index	Left and right shell boundary coordinates	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	578,579	LAYER_C_TOPOLOGY	geometric_bind
589	PIST_LogEntry	PIST	LogEntry = {before, after, move, preservedMass}	before/after=coordinates, move=transition type, preservedMass=boolean	Append-only history tracking for state transitions	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	582,583	LAYER_B_ROUTING	informational_bind
590	PIST_State_Penalize	PIST	friction_{t+1} = friction_t + penalty	friction=loss register, penalty=nonnegative	Increase friction on rejection with penalty accumulation	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	583,589	LAYER_F_CONTROL	control_bind
591	PIST_State_ResonanceJump	PIST	pos_{t+1} = target, mass(pos_t) = mass(target)	pos=coordinate, target=resonant coordinate	Jump to resonant coordinate preserving mass	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	582,583,589	LAYER_B_ROUTING	informational_bind
592	PIST_State_RejectWithPenalty	PIST	friction_{t+1} = friction_t + penalty, log += rejection	entry	friction=loss register, penalty=nonnegative	Register rejection and increase friction	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	LAYER_F_CONTROL	LAYER_F_CONTROL	control_bind
593	PIST_Kernel_Step	PIST	step(S,R) = ground(project(assimilate(S,bind)),R)	S=state, R=reality, bind=candidate, project=normalizer, ground=selector	One-step evolution with projection and grounding	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	583,595	LAYER_H_ALGEBRA	control_bind
594	PIST_Kernel_Strict_Descent	PIST	potential(step(S,R)) < potential(S) for nonterminal S	S=state, R=nonterminal	Nonterminal steps strictly decrease Lyapunov potential	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	583,593	LAYER_G_ENERGY	thermodynamic_bind
595	PIST_Projector	PIST	project(project(S)) = project(S)	S=state, project=idempotent normalizer	Idempotent projection operator for normalization	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	593,594	LAYER_D_INVARIANTS	control_bind
596	PIST_Grounder	PIST	ground : State → Reality → State	S=state, R=external reality	External grounding operator choosing next state from lawful candidates	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	593,595	LAYER_F_CONTROL	control_bind
597	PIST_Transition_PreservesMass	PIST	S.pos.mass = T.next.pos.mass	S=state, T=transition	Whether transition preserves shell mass at active coordinate	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	591,598	LAYER_D_INVARIANTS	geometric_bind
598	PIST_Transition_StrictlyDecreases	PIST	T.next.potential < S.potential	S=state, T=transition	Whether transition strictly decreases Lyapunov potential	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	594,597	LAYER_G_ENERGY	thermodynamic_bind
599	PIST_LawfulMove_Linear	PIST	friction unchanged, same shell k, t±1 step	friction=loss register, k=shell index, t=offset	One-step linear move within same shell	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	597,598	LAYER_C_TOPOLOGY	geometric_bind
600	PIST_LawfulMove_Crystallized	PIST	target.mass=0, friction=0	target=coordinate, friction=loss register	Crystallization to zero-mass endpoint with zero friction	tools/lean/Semantics/Semantics/PIST.lean	Lean	✅	588,599	LAYER_D_INVARIANTS	geometric_bind
601	PIST_ClassifyPhase_With_Threshold	PIST	phase = grounded if m=0 else drift if ρ<α else seismic	m=mass, ρ=tension ratio, α=threshold	Phase classifier with drift band for low tension	tools/lean/Semantics/Semantics/PISTMachine.lean	Lean	✅	581,585	LAYER_F_CONTROL	control_bind
602	PIST_Mirror_Preserves_Mass_Theorem	PIST	hyperbolaIndex(mirror(n)) = hyperbolaIndex(n)	n=natural number, mirror=involution	Formal proof that mirror operation preserves hyperbola index	tools/lean/Semantics/Semantics/PISTMachine.lean	Lean	✅	580,584	LAYER_D_INVARIANTS	geometric_bind
603	PIST_Zero_Mass_Square_Theorem	PIST	hyperbolaIndex(n)=0 ↔ (√n)²=n	n=natural number	Zero mass iff n is a perfect square	tools/lean/Semantics/Semantics/PISTMachine.lean	Lean	✅	584,586	LAYER_D_INVARIANTS	geometric_bind
604	PIST_Model131_VectorField	PIST	F(a,b,ε) = (1+ε(0.5b+0.3), -1+ε(0.5a-0.3))	a=distance to lower square, b=distance to upper, ε=degeneracy	PIST Model 131 ODE vector field for discrete Picard integral	tools/lean/Semantics/Semantics/PistBridge.lean	Lean	✅	LAYER_C_TOPOLOGY	geometric_bind
605	PIST_BlitterStep	PIST	M_{k+1} = M_k ⊕ (fa+fb)>>16	M=manifold, fa,fb=vector field components, ⊕=bitwise XOR	Discrete Picard integral via bitwise accumulation (O(1) hardware)	tools/lean/Semantics/Semantics/PistBridge.lean	Lean	✅	604	LAYER_I_ENCODING	control_bind
606	PIST_SISS_Manifold	PIST	g_μν(x) = Σ g_i·1_{S_i}(x)	g_i=tile metrics, S_i=tile indicator functions, x=position	Piecewise constant metric on tiled domain	tools/lean/Semantics/Semantics/PistBridge.lean	Lean	✅	LAYER_C_TOPOLOGY	geometric_bind
607	PIST_SISS_Scatter	PIST	v_out = R(s_ij)·v_in	v=vector, R=reflection matrix, s_ij=tile seam	Scattering operator across tile boundaries	tools/lean/Semantics/Semantics/PistBridge.lean	Lean	✅	606	LAYER_C_BRAID	geometric_bind
608	PIST_TorsionalState_Quaternion	PIST	q1,q2,q3=quaternions, η=learning rate, energy=error norm	Quaternion-based torsional state with energy tracking	tools/lean/Semantics/Semantics/TorsionalPIST.lean	Lean	✅	LAYER_C_TOPOLOGY	geometric_bind
609	PIST_Torsional_BetaStep	PIST	Δq3 = η·error, Δq1 = η·(q2-q1)·dt, energy = ||q1-q2||+||error||	q=quaternions, η=learning rate, dt=timestep, error=target-q3	Torsional beta step with backpropagation energy	tools/lean/Semantics/Semantics/TorsionalPIST.lean	Lean	✅	608	LAYER_H_ALGEBRA	geometric_bind
610	PIST_Torsional_RGFlow	PIST	recurse until energy < threshold, max depth N	energy=error norm, threshold=convergence criterion	Ricci flow-style descent on torsional energy landscape	tools/lean/Semantics/Semantics/TorsionalPIST.lean	Lean	✅	608,609	LAYER_J_DYNAMICS	geometric_bind
611	Quaternion_Addition	Quaternion Algebra	q1 + q2 = (w1+w2, x1+x2, y1+y2, z1+z2)	q=w+xi+yj+zk, component-wise addition	Quaternion addition operation	tools/lean/Semantics/Semantics/Quaternion.lean	Lean	✅	612,613,614,615	LAYER_H_ALGEBRA	algebraic_bind
612	Quaternion_Subtraction	Quaternion Algebra	q1 - q2 = (w1-w2, x1-x2, y1-y2, z1-z2)	q=w+xi+yj+zk, component-wise subtraction	Quaternion subtraction operation	tools/lean/Semantics/Semantics/Quaternion.lean	Lean	✅	611,613,614,615	LAYER_H_ALGEBRA	algebraic_bind
613	Quaternion_Multiplication	Quaternion Algebra	q1·q2 = (w1w2-x1x2-y1y2-z1z2, w1x2+x1w2+y1z2-z1y2, w1y2-x1z2+y1w2+z1x2, w1z2+x1y2-y1x2+z1w2)	q=w+xi+yj+zk, Hamiltonian product	Non-commutative Hamiltonian multiplication	tools/lean/Semantics/Semantics/Quaternion.lean	Lean	✅	611,612,614,615,617	LAYER_H_ALGEBRA	algebraic_bind
614	Quaternion_DotProduct	Quaternion Algebra	q1·q2 = w1w2 + x1x2 + y1y2 + z1z2	q=w+xi+yj+zk, scalar dot product	Euclidean inner product in R⁴	tools/lean/Semantics/Semantics/Quaternion.lean	Lean	✅	611,612,613,615,617	LAYER_H_ALGEBRA	algebraic_bind
615	Quaternion_NormApproximation	Quaternion Algebra	||q|| ≈ max(|w|,|x|,|y|,|z|) + (3/8)·Σothers	q=w+xi+yj+zk, 4D octagonal norm	Approximate quaternion norm for hardware efficiency	tools/lean/Semantics/Semantics/Quaternion.lean	Lean	✅	611,612,613,614,617	LAYER_G_ENERGY	algebraic_bind
616	Quaternion_Conjugate	Quaternion Algebra	q* = w - xi - yj - zk	q=w+xi+yj+zk, sign flip of vector part	Quaternion conjugation operation	tools/lean/Semantics/Semantics/Quaternion.lean	Lean	✅	611,612,613,614,615,617	LAYER_H_ALGEBRA	algebraic_bind
617	Quaternion_ScalarMultiplication	Quaternion Algebra	s·q = (sw, sx, sy, sz)	s=scalar, q=w+xi+yj+zk	Scalar multiplication of quaternion	tools/lean/Semantics/Semantics/Quaternion.lean	Lean	✅	611,612,613,614,615,616	LAYER_H_ALGEBRA	algebraic_bind
618	Quaternion_Extension_Theorem	Quaternion Algebra	ext: q1=q2 ↔ w1=w2 ∧ x1=x2 ∧ y1=y2 ∧ z1=z2	q=w+xi+yj+zk	Extensionality theorem for quaternion equality	tools/lean/Semantics/Semantics/Quaternion.lean	Lean	✅	611,612,613,614,615,616,617	LAYER_D_INVARIANTS	algebraic_bind
619	Q16_16_Saturated_From_Nat	Fixed-Point Arithmetic	satFromNat(n) = clamp(n/65536, -32768, 32767)	n=natural number, scale=65536	Saturating conversion from natural to Q16.16	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	620,621,622,623,624,625,626,627,628,629,630,631,632	LAYER_I_ENCODING	algebraic_bind
620	Q16_16_Addition	Fixed-Point Arithmetic	a + b = (a.val + b.val) with saturation	a,b=Q16.16 fixed-point	Saturating addition for fixed-point arithmetic	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,621,622,623,624,625,626,627,628,629,630,631,632	LAYER_I_ENCODING	algebraic_bind
621	Q16_16_Subtraction	Fixed-Point Arithmetic	a - b = (a.val - b.val) with saturation	a,b=Q16.16 fixed-point	Saturating subtraction for fixed-point arithmetic	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,620,622,623,624,625,626,627,628,629,630,631,632	LAYER_I_ENCODING	algebraic_bind
622	Q16_16_Multiplication	Fixed-Point Arithmetic	a × b = (a.val × b.val) >> 16 with saturation	a,b=Q16.16 fixed-point	Saturating multiplication with 16-bit right shift	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,620,621,623,624,625,626,627,628,629,630,631,632	LAYER_I_ENCODING	algebraic_bind
623	Q16_16_Division	Fixed-Point Arithmetic	a / b = (a.val << 16) / b.val with saturation	a,b=Q16.16 fixed-point, b≠0	Saturating division with 16-bit left shift	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,620,621,622,624,625,626,627,628,629,630,631,632	LAYER_I_ENCODING	algebraic_bind
624	Q16_16_AbsoluteValue	Fixed-Point Arithmetic	|a| = if a.val < 0x80000000 then a else -a	a=Q16.16 fixed-point	Absolute value with sign handling	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,620,621,622,623,625,626,627,628,629,630,631,632	LAYER_I_ENCODING	algebraic_bind
625	Q16_16_Negation	Fixed-Point Arithmetic	-a = -a.val with saturation	a=Q16.16 fixed-point	Saturating negation operation	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,620,621,622,623,624,626,627,628,629,630,631,632	LAYER_I_ENCODING	algebraic_bind
626	Q16_16_FromNat	Fixed-Point Arithmetic	ofNat(n) = n × 65536	n=natural number, scale=65536	Convert natural number to Q16.16 fixed-point	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,620,621,622,623,624,627,628,629,630,631,632	LAYER_I_ENCODING	algebraic_bind
627	Q16_16_ToNat	Fixed-Point Arithmetic	toNat(q) = q.val / 65536	q=Q16.16 fixed-point, scale=65536	Convert Q16.16 fixed-point to natural number	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,620,621,622,623,624,626,628,629,630,631,632	LAYER_I_ENCODING	algebraic_bind
628	Q16_16_FromFrac	Fixed-Point Arithmetic	ofFrac(num,denom) = (num × 65536) / denom	num,denom=natural numbers	Convert fraction to Q16.16 fixed-point	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,620,621,622,623,624,625,626,627,629,630,631,632	LAYER_I_ENCODING	algebraic_bind
629	Q16_16_LessThan	Fixed-Point Arithmetic	a < b ↔ a.val < b.val	a,b=Q16.16 fixed-point	Comparison: less than	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,620,621,622,623,624,625,626,627,628,630,631,632	LAYER_D_INVARIANTS	algebraic_bind
630	Q16_16_LessEqual	Fixed-Point Arithmetic	a ≤ b ↔ a.val ≤ b.val	a,b=Q16.16 fixed-point	Comparison: less than or equal	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,620,621,622,623,624,625,626,627,628,629,631,632	LAYER_D_INVARIANTS	algebraic_bind
631	Q16_16_GreaterThan	Fixed-Point Arithmetic	a > b ↔ a.val > b.val	a,b=Q16.16 fixed-point	Comparison: greater than	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,620,621,622,623,624,625,626,627,628,629,630,632	LAYER_D_INVARIANTS	algebraic_bind
632	Q16_16_Equality_FixedPoint	Fixed-Point Arithmetic	a = b ↔ a.val = b.val	a,b=Q16.16 fixed-point	Comparison: equality check	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,620,621,622,623,624,625,626,627,628,629,630,631	LAYER_D_INVARIANTS	algebraic_bind
633	Q16_16_Minimum	Fixed-Point Arithmetic	min(a,b) = if a.val < b.val then a else b	a,b=Q16.16 fixed-point	Minimum of two fixed-point values	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,620,621,622,623,624,625,626,627,628,629,630,631,632,634	LAYER_D_INVARIANTS	algebraic_bind
634	Q16_16_Maximum	Fixed-Point Arithmetic	max(a,b) = if a.val > b.val then a else b	a,b=Q16.16 fixed-point	Maximum of two fixed-point values	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,635	LAYER_D_INVARIANTS	algebraic_bind
635	Q16_16_Clamp	Fixed-Point Arithmetic	clamp(x,lo,hi) = max(lo, min(x,hi))	x,lo,hi=Q16.16 fixed-point	Clamp value to range [lo,hi]	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634	LAYER_D_INVARIANTS	algebraic_bind
636	Q16_16_SquareRoot	Fixed-Point Arithmetic	√x via Newton-Raphson iteration	x=Q16.16 fixed-point, x≥0	Approximate square root using Newton's method	tools/lean/Semantics/Semantics/Q16_16.lean	Lean	✅	619,620,621,622,623,624,625,626,627,628,629,630,631,632,633,634,635	LAYER_G_ENERGY	algebraic_bind
637	PTOSManifest_Structure	DeltaGCL Compression	{version, timestamp, checksum, payload}	version=UInt8, timestamp=UInt64, checksum=UInt32, payload=List UInt8	PTOS manifest structure for delta compression	tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅	638,639,640,641,642,643	LAYER_A_COMPRESSION	informational_bind
638	DeltaEncoding_Structure	DeltaGCL Compression	{deltaFlag, changedFields, fieldDeltas}	deltaFlag=Bool, changedFields=List String, fieldDeltas=List UInt8	Delta encoding structure for manifest changes	tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅	637,639,640,641,642,643	LAYER_A_COMPRESSION	informational_bind
639	ComputeDelta_DeltaGCL	DeltaGCL Compression	delta = current ⊖ previous	current,previous=PTOSManifest, ⊖=delta operation	Compute delta between two PTOS manifests	tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅	637,638,640,641,642,643	LAYER_A_COMPRESSION	informational_bind
640	ApplyPTOSDictionary	DeltaGCL Compression	encode(manifest) = 4-byte dictionary encoding	manifest=PTOSManifest	PTOS dictionary compression to 4 bytes	tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅	637,639,641,642,643	LAYER_A_COMPRESSION	informational_bind
641	EncodeCodon_VariableLength	DeltaGCL Compression	encode(codon) = codon if known else 0xFF||codon	codon=String, 0xFF=escape byte	Variable-length codon encoding with escape mechanism	tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅	637,638,639,640,642,643	LAYER_A_COMPRESSION	informational_bind
642	DeltaGCLSequence_Structure	DeltaGCL Compression	{marker, bytes, fieldCodes}	marker=Char ('F' or 'D'), bytes=List UInt8, fieldCodes=List UInt8	Delta GCL sequence structure	tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅	637,638,639,640,641,643	LAYER_A_COMPRESSION	informational_bind
643	EncodeToDeltaGCL	DeltaGCL Compression	encode(manifest, previous) = DeltaGCLSequence(manifest, previous)	manifest=PTOSManifest, previous=Option PTOSManifest	Encode manifest to Delta GCL format with optional previous	tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅	637,638,639,640,641,642,644,645,646	LAYER_A_COMPRESSION	informational_bind
644	CompressionStats_Structure	DeltaGCL Compression	{originalLength, compressedLength, reduction}	originalLength=Nat, compressedLength=Nat, reduction=Nat	Compression statistics structure	tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅	637,638,639,640,641,642,643,645,646	LAYER_A_COMPRESSION	informational_bind
645	CompressionStats_Calculation	DeltaGCL Compression	stats(original, deltaGCL) = {len(original), len(deltaGCL), len(original)-len(deltaGCL)}	original=String, deltaGCL=DeltaGCLSequence	Calculate compression statistics	tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅	637,638,639,640,641,642,643,644,646	LAYER_A_COMPRESSION	informational_bind
646	ComputeDelta_Identical_Theorem	DeltaGCL Compression	computeDelta(m,m) = {deltaFlag=false, changedFields=[], fieldDeltas=[]}	m=PTOSManifest	Theorem: delta of identical manifests is empty	tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅	637,638,639,640,641,642,643,644,645	LAYER_D_INVARIANTS	informational_bind
647	IntNode_Structure	Braid Field Theory	{val, left, right}	val=Int, left/right=IntNode	Integer node structure for braid topology	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666	LAYER_C_TOPOLOGY	geometric_bind
648	IntNode_Addition	Braid Field Theory	add(a,b) = IntNode with merged structure	a,b=IntNode	Recursive addition of integer nodes	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666	LAYER_H_ALGEBRA	algebraic_bind
649	BettiCycle_Structure	Braid Field Theory	{cycle, index}	cycle=List IntNode, index=Nat	Betti cycle structure for homology computation	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666	LAYER_C_BRAID	geometric_bind
650	BettiCycleSet_Structure	Braid Field Theory	{cycles}	cycles=List BettiCycle	Set of Betti cycles	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666	LAYER_C_BRAID	geometric_bind
651	BettiCycleSet_Empty	Braid Field Theory	empty = {cycles=[]}	Empty Betti cycle set	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,650,652,653,654,655,656,657,658,659,660,661,662,663,664,665,666	LAYER_D_INVARIANTS	geometric_bind
652	Mountain_Structure	Braid Field Theory	node(height, apex, base, inner)	height=Nat, apex=IntNode, base=List IntNode, inner=MMR	Mountain structure for braid topology	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,650,651,653,654,655,656,657,658,659,660,661,662,663,664,665,666	LAYER_C_TOPOLOGY	geometric_bind
653	Mountain_Height	Braid Field Theory	height(m) = tree height	m=Mountain	Height of mountain structure	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,650,651,652,654,655,656,657,658,659,660,661,662,663,664,665,666	LAYER_C_TOPOLOGY	geometric_bind
654	Mountain_Apex	Braid Field Theory	apex(m) = root node	m=Mountain	Apex (root) of mountain structure	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,650,651,652,653,655,656,657,658,659,660,661,662,663,664,665,666	LAYER_C_TOPOLOGY	geometric_bind
655	Mountain_Base	Braid Field Theory	base(m) = leaf nodes	m=Mountain	Base (leaves) of mountain structure	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,650,651,652,653,654,656,657,658,659,660,661,662,663,664,665,666	LAYER_C_TOPOLOGY	geometric_bind
656	Mountain_Inner	Braid Field Theory	inner(m) = MMR subtree	m=Mountain	Inner MMR structure	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,650,651,652,653,654,655,657,658,659,660,661,662,663,664,665,666	LAYER_C_TOPOLOGY	geometric_bind
657	Mountain_Merge	Braid Field Theory	merge(m1,m2) = combined mountain	m1,m2=Mountain	Recursive merge of mountain structures	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,650,651,652,653,654,655,656,658,659,660,661,662,663,664,665,666	LAYER_C_BRAID	geometric_bind
658	MMR_Append	Braid Field Theory	append(mmr,m) = mmr ++ m	mmr=MMR, m=Mountain	Append mountain to MMR (Multi-Mountain Range)	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,650,651,652,653,654,655,656,657,659,660,661,662,663,664,665,666	LAYER_C_BRAID	geometric_bind
659	PISTField_Structure	Braid Field Theory	{scale, mmr, mergeDebt, isStable, burden, geometry, adaptation, protection}	scale=Nat, mmr=MMR, mergeDebt=Nat, isStable=Bool, burden/geometry/adaptation/protection=Q16_16	PIST field structure with cost metrics	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,650,651,652,653,654,655,656,657,658,660,661,662,663,664,665,666	LAYER_C_TOPOLOGY	geometric_bind
660	BurdenCost_Function	Braid Field Theory	burdenCost(load,target,metric) = |load-target|/target	load,target=Nat, metric=Metric	Burden cost based on load deviation from target	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,650,651,652,653,654,655,656,657,658,659,661,662,663,664,665,666	LAYER_B_ROUTING	control_bind
661	GeometryCost_Function	Braid Field Theory	geometryCost(curvature,ideal,metric) = |curvature-ideal|/ideal	curvature,ideal=Nat, metric=Metric	Geometry cost based on curvature deviation	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,650,651,652,653,654,655,656,657,658,659,660,662,663,664,665,666	LAYER_C_TOPOLOGY	control_bind
662	AdaptationCost_Function	Braid Field Theory	adaptationCost(current,optimal,metric) = |current-optimal|/optimal	current,optimal=Nat, metric=Metric	Adaptation cost based on deviation from optimal	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,663,664,665,666	LAYER_F_CONTROL	control_bind
663	ProtectionCost_Function	Braid Field Theory	protectionCost(safety,threshold,metric) = max(0, threshold-safety)/threshold	safety,threshold=Nat, metric=Metric	Protection cost based on safety margin violation	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,664,665,666	LAYER_E_VERIFICATION	control_bind
664	ComputePIST_Function	Braid Field Theory	computePIST(scale,mmr,mergeDebt,isStable) = PISTField with computed costs	scale=Nat, mmr=MMR, mergeDebt=Nat, isStable=Bool	Compute PIST field with all cost metrics	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,665,666	LAYER_C_TOPOLOGY	geometric_bind
665	SpherionState_Structure	Braid Field Theory	{uvScale, mmr, mergeDebt, isStable, currentPIST, void}	uvScale=Nat, mmr=MMR, mergeDebt=Nat, isStable=Bool, currentPIST=PISTField, void=BettiCycleSet	Spherion state for topological evolution	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,666	LAYER_J_DYNAMICS	geometric_bind
666	SpherionState_Init	Braid Field Theory	init(uvScale) = initial SpherionState	uvScale=Nat	Initialize Spherion state with UV scale	tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅	647,648,649,650,651,652,653,654,655,656,657,658,659,660,661,662,663,664,665	LAYER_J_DYNAMICS	geometric_bind
667	Genome_Structure	Adaptation Theory	{muBin, rhoBin, cBin, mBin, neBin, sigBin}	muBin,rhoBin,cBin,mBin,neBin,sigBin=Fin 4	Genome structure for adaptive parameters	tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅	668,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689	LAYER_F_CONTROL	control_bind
668	Genome_MuQ	Adaptation Theory	muQ(g) = 0x41·(muBin+1)	g=Genome, muBin=Fin 4	Mu parameter quantization (0x41 scale)	tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅	667,669,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689	LAYER_F_CONTROL	control_bind
669	Genome_RhoQ	Adaptation Theory	rhoQ(g) = 0x2000·(rhoBin+1)	g=Genome, rhoBin=Fin 4	Rho parameter quantization (0x2000 scale)	tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅	667,668,670,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689	LAYER_F_CONTROL	control_bind
670	Genome_CFac	Adaptation Theory	cFac(g) = 0x2000·(cBin+1)	g=Genome, cBin=Fin 4	C parameter quantization (0x2000 scale)	tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅	667,668,669,671,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689	LAYER_F_CONTROL	control_bind
671	Genome_MFac	Adaptation Theory	mFac(g) = 0x2000·(mBin+1)	g=Genome, mBin=Fin 4	M parameter quantization (0x2000 scale)	tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅	667,668,669,670,672,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689	LAYER_F_CONTROL	control_bind
672	Genome_NeRaw	Adaptation Theory	neRaw(g) = 0x4000·(neBin+1)	g=Genome, neBin=Fin 4	Ne parameter quantization (0x4000 scale)	tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅	667,668,669,670,671,673,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689	LAYER_F_CONTROL	control_bind
673	Genome_SigQ	Adaptation Theory	sigQ(g) = 65536 + 0x4000·(sigBin+1)	g=Genome, sigBin=Fin 4	Sigma parameter quantization with offset	tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅	667,668,669,670,671,672,674,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689	LAYER_F_CONTROL	control_bind
674	Genome_NeEff	Adaptation Theory	neEff(g) = neRaw(g)·(1 - cFac(g)/65536)	g=Genome	Effective Ne with cFac modulation	tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅	667,668,669,670,671,672,673,675,676,677,678,679,680,681,682,683,684,685,686,687,688,689	LAYER_F_CONTROL	control_bind
675	Genome_IsLawful	Adaptation Theory	isLawful(g) = all bins ≤ 3	g=Genome	Check if genome bins are in valid range	tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅	667,668,669,670,671,672,673,674,676,677,678,679,680,681,682,683,684,685,686,687,688,689	LAYER_D_INVARIANTS	control_bind
676	Genome_BetaStep	Adaptation Theory	betaStep(g) = increment bins with overflow wrap	g=Genome	One-step genome mutation (beta step)	tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅	667,668,669,670,671,672,673,674,675,677,678,679,680,681,682,683,684,685,686,687,688,689	LAYER_F_CONTROL	control_bind
677	Genome_IsScaleCoherent	Adaptation Theory	isScaleCoherent(g) = muQ·rhoQ·cFac·mFac·neEff·sigQ in valid range	g=Genome	Check if genome parameters are scale-coherent	tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅	667,668,669,670,671,672,673,674,675,676,678,679,680,681,682,683,684,685,686,687,688,689	LAYER_D_INVARIANTS	control_bind
678	FlowAudit_Structure	Adaptation Theory	{init, steps, final, eventuallyLawful, finalLawful}	init=Bool, steps=Nat, final=Genome, eventuallyLawful=Bool, finalLawful=Bool	Flow audit structure for genome evolution	tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅	667,668,669,670,671,672,673,674,675,676,677,679,680,681,682,683,684,685,686,687,688,689	LAYER_E_VERIFICATION	control_bind
679	FlowAudit_Function	Adaptation Theory	flowAudit(g,steps) = audit after n steps	g=Genome, steps=Nat	Run flow audit for n genome steps	tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅	667,668,669,670,671,672,673,674,675,676,677,678,680,681,682,683,684,685,686,687,688,689	LAYER_E_VERIFICATION	control_bind
680	FinalLawfulEqEventuallyLawful_Theorem	Adaptation Theory	finalLawful = eventuallyLawful by construction	Genome evolution audit	Theorem: final and eventual lawfulness are equal	tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅	667,668,669,670,671,672,673,674,675,676,677,678,679	LAYER_D_INVARIANTS	control_bind
681	VecN_Zero	Dynamic Canal Theory	VecN.zero = zero vector of length n	n=Nat, VecN n = Nat → Q16_16	Zero vector in n-dimensional space	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	682,683,684,685,686	LAYER_H_ALGEBRA	algebraic_bind
682	VecN_Add	Dynamic Canal Theory	vecAdd(a,b) = component-wise addition	a,b=VecN n	Vector addition in n-dimensional space	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	681,683,684,685,686	LAYER_H_ALGEBRA	algebraic_bind
683	VecN_Sub	Dynamic Canal Theory	vecSub(a,b) = component-wise subtraction	a,b=VecN n	Vector subtraction in n-dimensional space	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	681,682,684,685,686	LAYER_H_ALGEBRA	algebraic_bind
684	VecN_L1Norm	Dynamic Canal Theory	vecL1(v) = Σ_i |v_i|	v=VecN n	L1 norm (Manhattan distance)	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	681,682,683,685,686	LAYER_G_ENERGY	algebraic_bind
685	VecN_MaxAbs	Dynamic Canal Theory	vecMaxAbs(v) = max_i |v_i|	v=VecN n	Maximum absolute value component	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	681,682,683,684,686	LAYER_D_INVARIANTS	algebraic_bind
686	VecN_DotProduct	Dynamic Canal Theory	vecDot(a,b) = Σ_i a_i·b_i	a,b=VecN n	Euclidean dot product in n-dimensional space	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	681,682,683,684,685	LAYER_H_ALGEBRA	algebraic_bind
687	DIAT_Structure	Dynamic Canal Theory	{shell, offset}	shell=Nat, offset=Nat	DIAT (Distance Interval-Aware Type) structure	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	688,689,690	LAYER_C_TOPOLOGY	geometric_bind
688	DIAT_IntegerSqrt	Dynamic Canal Theory	isqrt(n) = floor(√n)	n=UInt32	Integer square root via Newton-Raphson	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	687,689,690	LAYER_G_ENERGY	algebraic_bind
689	DIAT_Encode	Dynamic Canal Theory	encode(n) = {shell=√n, offset=n-shell²}	n=UInt32	Encode natural number to DIAT coordinates	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	687,688,690	LAYER_I_ENCODING	algebraic_bind
690	DIAT_ShellWidth	Dynamic Canal Theory	shellWidth(d) = 2·shell+1	d=DIAT	Width of shell interval	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	687,688,689	LAYER_C_TOPOLOGY	geometric_bind
691	DIAT_NormA	Dynamic Canal Theory	normA(d) = offset/shellWidth	d=DIAT	Normalized offset within shell	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	687,688,689,690	LAYER_G_ENERGY	algebraic_bind
692	DynamicCanalLambda	Dynamic Canal Theory	λ(p,pressure) = saturation + (1-σ)·pressure·e^(-pressure)	p=KernelParams, pressure=Q16_16, σ=deformability	Dynamic canal lambda function for pressure response	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	693,694,695,696	LAYER_F_CONTROL	control_bind
693	CanalCompliance	Dynamic Canal Theory	compliance(p,pressure) = λ(p,pressure)·pressure	p=KernelParams, pressure=Q16_16	Canal compliance as function of pressure	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	692,694,695,696	LAYER_F_CONTROL	control_bind
694	CanalWidth	Dynamic Canal Theory	width(p,base,pressure) = base·compliance(p,pressure)	p=KernelParams, base=Q16_16, pressure=Q16_16	Canal width response to pressure	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	692,693,695,696	LAYER_C_TOPOLOGY	geometric_bind
695	EdgeEval_Structure	Dynamic Canal Theory	{edge, surprise, regret, stress}	edge=Edge, surprise/regret/stress=Q16_16	Edge evaluation with cognitive metrics	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	696,697,698,699,700,701,702,703,704	LAYER_E_VERIFICATION	control_bind
696	SurpriseOf	Dynamic Canal Theory	surprise(ev) = -log(P(ev))	ev=EdgeEval, P=probability	Surprise metric for edge evaluation	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	695,697,698,699,700,701,702,703,704	LAYER_G_ENERGY	thermodynamic_bind
697	RegretOf	Dynamic Canal Theory	regret(ev) = max(0, optimal - actual)	ev=EdgeEval, optimal=best possible, actual=achieved	Regret metric for decision quality	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	695,696,698,699,700,701,702,703,704	LAYER_G_ENERGY	thermodynamic_bind
698	StressOfEval	Dynamic Canal Theory	stress(p,ev) = λ·surprise + μ·regret	p=KernelParams, ev=EdgeEval, λ,μ=weights	Stress metric combining surprise and regret	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	695,696,697,699,700,701,702,703,704	LAYER_G_ENERGY	thermodynamic_bind
699	EdgeScore	Dynamic Canal Theory	score(p,lane,ev) = -stress(p,ev) - bandwidthCost	p=KernelParams, lane=Lane, ev=EdgeEval	Edge scoring for lane selection	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	695,696,697,698,700,701,702,703,704	LAYER_B_ROUTING	control_bind
700	ClassifyRegime	Dynamic Canal Theory	regime = classify(p,lane,chosen)	p=KernelParams, lane=Lane, chosen=Edge	Classify flow regime based on edge choice	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	695,696,697,698,699,701,702,703,704	LAYER_F_CONTROL	control_bind
701	Q16_16_Add_Total_Theorem	Dynamic Canal Theory	∃c, Q16_16.add(a,b) = c	a,b=Q16_16	Totality theorem for Q16.16 addition	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	702,703,704,705	LAYER_D_INVARIANTS	algebraic_bind
702	Q16_16_Sub_Total_Theorem	Dynamic Canal Theory	∃c, Q16_16.sub(a,b) = c	a,b=Q16_16	Totality theorem for Q16.16 subtraction	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	701,703,704,705	LAYER_D_INVARIANTS	algebraic_bind
703	Q16_16_Mul_Total_Theorem	Dynamic Canal Theory	∃c, Q16_16.mul(a,b) = c	a,b=Q16_16	Totality theorem for Q16.16 multiplication	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	701,702,704,705	LAYER_D_INVARIANTS	algebraic_bind
704	Q16_16_Div_Total_Theorem	Dynamic Canal Theory	∃c, Q16_16.div(a,b) = c	a,b=Q16_16, b≠0	Totality theorem for Q16.16 division	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	701,702,703,705	LAYER_D_INVARIANTS	algebraic_bind
705	DynamicCanalLambda_Total_Theorem	Dynamic Canal Theory	∃c, λ(p,pressure) = c	p=KernelParams, pressure=Q16_16	Totality theorem for dynamic canal lambda	tools/lean/Semantics/Semantics/DynamicCanal.lean	Lean	✅	692,701,702,703,704	LAYER_D_INVARIANTS	control_bind
706	Synaptic_Hotspot_Density	Neural Development	ρ(x,t) = ρ₀·exp(-(x-x₀)²/2σ²)·H(t-t_on)·H(t_off-t)	x=position along dendrite, t=time, x₀=hotspot center, σ=width, t_on=onset, t_off=offset, H=Heaviside	Gaussian density function for adolescent synaptic hotspot formation	docs/neuroscience/SYNAPTIC_HOTSPOT_DYNAMICS.md	Documented	✅	707,708	LAYER_B_ROUTING	control_bind
707	Adolescent_Formation_Rate	Neural Development	dρ/dt = α·(1-ρ/ρ_max)·H(t-t_on) - β·ρ·H(t-t_off)	α=formation rate, β=pruning rate, ρ_max=max density, t_on=adolescence onset, t_off=adolescence offset	Differential equation for synapse formation vs pruning during adolescence	docs/neuroscience/SYNAPTIC_HOTSPOT_DYNAMICS.md	Documented	✅	706,708,709	LAYER_B_ROUTING	control_bind
708	Pruning_Formation_Balance	Neural Development	B(t) = ∫₀ᵗ (α·H(τ-t_on) - β·H(τ-t_off)) dτ / (α+β)	Balance ratio between formation and pruning over time	Quantifies net synaptic change during developmental windows	docs/neuroscience/SYNAPTIC_HOTSPOT_DYNAMICS.md	Documented	✅	706,707,709	LAYER_B_ROUTING	control_bind
709	Mutation_Impact_Model	Neural Development	α_mut = α·(1-δ·I[mutation])·γ_layer	δ=impairment factor (0-1), I[mutation]=indicator for schizophrenia genes (Setd1a, Hivep2, Grin1), γ_layer=layer-specific coefficient (Layer 5=1.0)	Gene mutation effects on adolescent synapse formation rates	docs/neuroscience/SYNAPTIC_HOTSPOT_DYNAMICS.md	Documented	✅	707,708,710	LAYER_E_VERIFICATION	control_bind
710	Layer_Specific_Formation	Neural Development	γ_layer = {L1:0.2, L2/3:0.5, L4:0.8, L5:1.0, L6:0.6}	Cortical layer coefficients for hotspot formation propensity	Layer 5 neurons show highest hotspot formation (control center)	docs/neuroscience/SYNAPTIC_HOTSPOT_DYNAMICS.md	Documented	✅	709	LAYER_C_TOPOLOGY	control_bind
711	Local_Autonomy_Weight	Cephalopod Distributed	w_local = γ · (1 - s_central)	γ=autonomy coefficient (0.5-1.0), s_central=central signal strength [0,1]	Local decision weight inversely proportional to central control	docs/neuroscience/CEPHALOPOD_DISTRIBUTED_NEURAL.md	Documented	✅	712,713	LAYER_B_ROUTING	control_bind
712	Arm_Consensus	Cephalopod Distributed	consensus = Σ_i (w_i · state_i) / Σ w_i	w_i = w_local for arm i, state_i=local sensory state	Weighted consensus across semi-autonomous arms	docs/neuroscience/CEPHALOPOD_DISTRIBUTED_NEURAL.md	Documented	✅	711,713	LAYER_C_TOPOLOGY	control_bind
713	Distributed_Sensory_Integration	Cephalopod Distributed	sensory_map = ⊕_j local_sensory_j	⊕=XOR fusion, local_sensory_j=arm j sensory input	XOR-based fusion without central bottleneck	docs/neuroscience/CEPHALOPOD_DISTRIBUTED_NEURAL.md	Documented	✅	711,712	LAYER_C_TOPOLOGY	control_bind
714	Peripheral_Neuron_Density	Cephalopod Distributed	ρ_peripheral = 0.67 · N_total	67% of neurons in peripheral arms (vs central brain)	Quantifies distributed neural architecture	docs/neuroscience/CEPHALOPOD_DISTRIBUTED_NEURAL.md	Documented	✅	711,712,713	LAYER_C_TOPOLOGY	geometric_bind
715	EI_Imbalance_Autism	Neurodivergent	ξ = w_excite / w_inhibit; ξ_autism > ξ_neurotypical	ξ=E/I ratio, w_excite=excitatory synaptic weight, w_inhibit=inhibitory synaptic weight	Excitation/inhibition balance shifted toward excitation in autism	docs/neuroscience/NEURODIVERGENT_BRAIN_ARCHITECTURES.md	Documented	✅	716,718	LAYER_B_ROUTING	control_bind
716	Local_Long_Range_Connectivity_Autism	Neurodivergent	κ = f_local / f_long; κ_autism > 1, κ_neurotypical ≈ 1	κ=connectivity ratio, f_local=local connectivity density, f_long=long-range connectivity density	Local over-connectivity with long-range under-connectivity in autism	docs/neuroscience/NEURODIVERGENT_BRAIN_ARCHITECTURES.md	Documented	✅	715,718	LAYER_C_TOPOLOGY	geometric_bind
717	Dopamine_Transport_Deficit	Neurodivergent	τ_clear = τ_normal / (1 - δ_adhd)	τ_clear=dopamine clearance time, δ_adhd=deficit factor (0.2-0.4), τ_normal=neurotypical clearance	Reduced dopamine transporter density in ADHD slows clearance	docs/neuroscience/NEURODIVERGENT_BRAIN_ARCHITECTURES.md	Documented	✅	718,719	LAYER_B_ROUTING	control_bind
718	Sensory_Filter_Threshold_Autism	Neurodivergent	θ_autism = θ_neurotypical · (1 - σ_hyper)	θ=sensory gating threshold, σ_hyper=hyper-sensitivity factor (0.3-0.6)	Lower sensory gating threshold in autism causes hyper-sensitivity	docs/neuroscience/NEURODIVERGENT_BRAIN_ARCHITECTURES.md	Documented	✅	715,716,717,719	LAYER_B_ROUTING	control_bind
719	Compensatory_Routing_Weight	Neurodivergent	w_comp = w_standard · (1 + λ_comp)	w_comp=compensatory pathway weight, w_standard=standard pathway weight, λ_comp=compensation factor (0.2-0.8)	Alternative neural pathway activation for standard functions in neurodivergent brains	docs/neuroscience/NEURODIVERGENT_BRAIN_ARCHITECTURES.md	Documented	✅	717,718	LAYER_C_TOPOLOGY	geometric_bind
720	AdvancedBio_freeEnergySurprisal	AdvancedBio				tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
721	AdvancedBio_fisherDeltaFitness	AdvancedBio				tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
722	AdvancedBio_neutralEvolutionRate	AdvancedBio				tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
723	AdvancedBio_NeuralFieldState	AdvancedBio				tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
724	AdvancedBio_wilsonCowanUpdate	AdvancedBio				tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
725	AdvancedBio_remodelingError	AdvancedBio				tools/lean/Semantics/Semantics/Extensions/AdvancedBioDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
726	AuditoryMasking_upperMaskingSlope	AuditoryMasking				tools/lean/Semantics/Semantics/Extensions/AuditoryMaskingDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
727	AuditoryMasking_signalToMaskRatio	AuditoryMasking				tools/lean/Semantics/Semantics/Extensions/AuditoryMaskingDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
728	AuditoryMasking_isSignalSalient	AuditoryMasking				tools/lean/Semantics/Semantics/Extensions/AuditoryMaskingDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
729	AuditoryMasking_specificLoudness	AuditoryMasking				tools/lean/Semantics/Semantics/Extensions/AuditoryMaskingDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
730	AuditoryMasking_totalLoudness	AuditoryMasking				tools/lean/Semantics/Semantics/Extensions/AuditoryMaskingDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
731	BioPhotonics_fluenceRateUpdate	BioPhotonics				tools/lean/Semantics/Semantics/Extensions/BioPhotonicsDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
732	BioPhotonics_photonEmissionRate	BioPhotonics				tools/lean/Semantics/Semantics/Extensions/BioPhotonicsDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
733	BioPhotonics_lightIntensityAtDepth	BioPhotonics				tools/lean/Semantics/Semantics/Extensions/BioPhotonicsDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
734	BiologicalControl_biologicalHamiltonian	BiologicalControl				tools/lean/Semantics/Semantics/Extensions/BiologicalControlDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
735	BiologicalControl_satisfyRequisiteVariety	BiologicalControl				tools/lean/Semantics/Semantics/Extensions/BiologicalControlDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
736	BiologicalControl_bellmanError	BiologicalControl				tools/lean/Semantics/Semantics/Extensions/BiologicalControlDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
737	BiologicalControl_paretoEfficiency	BiologicalControl				tools/lean/Semantics/Semantics/Extensions/BiologicalControlDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
738	BiologicalExergy_exergyDestruction	BiologicalExergy				tools/lean/Semantics/Semantics/Extensions/BiologicalExergyDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
739	BiologicalExergy_minimumEntropyProductionUpdate	BiologicalExergy				tools/lean/Semantics/Semantics/Extensions/BiologicalExergyDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
740	BiologicalExergy_maximumEntropyProductionRate	BiologicalExergy				tools/lean/Semantics/Semantics/Extensions/BiologicalExergyDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
741	BiologicalExergy_actualMetabolicWork	BiologicalExergy				tools/lean/Semantics/Semantics/Extensions/BiologicalExergyDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
742	BiologicalRegulation_fluxControlCoefficient	BiologicalRegulation				tools/lean/Semantics/Semantics/Extensions/BiologicalRegulationDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
743	BiologicalRegulation_isControlLawful	BiologicalRegulation				tools/lean/Semantics/Semantics/Extensions/BiologicalRegulationDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
744	BiologicalRegulation_adaptationUpdate	BiologicalRegulation				tools/lean/Semantics/Semantics/Extensions/BiologicalRegulationDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
745	BiologicalRegulation_isAdapted	BiologicalRegulation				tools/lean/Semantics/Semantics/Extensions/BiologicalRegulationDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
746	BiologicalRegulation_optimalRegulatoryMode	BiologicalRegulation				tools/lean/Semantics/Semantics/Extensions/BiologicalRegulationDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
747	CancerMetabolic_cancerOnsetProb	CancerMetabolic				tools/lean/Semantics/Semantics/Extensions/CancerMetabolicDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
748	CancerMetabolic_elasticityCoefficient	CancerMetabolic				tools/lean/Semantics/Semantics/Extensions/CancerMetabolicDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
749	CancerMetabolic_checkConnectivityTheorem	CancerMetabolic				tools/lean/Semantics/Semantics/Extensions/CancerMetabolicDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
750	CancerMetabolic_priceSelectionTerm	CancerMetabolic				tools/lean/Semantics/Semantics/Extensions/CancerMetabolicDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
751	CardiacYield_averageBiomassWeight	CardiacYield				tools/lean/Semantics/Semantics/Extensions/CardiacYieldDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
752	CardiacYield_totalBiomassYield	CardiacYield				tools/lean/Semantics/Semantics/Extensions/CardiacYieldDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
753	CardiacYield_gatingVariableUpdate	CardiacYield				tools/lean/Semantics/Semantics/Extensions/CardiacYieldDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
754	CardiacYield_nobleSodiumCurrent	CardiacYield				tools/lean/Semantics/Semantics/Extensions/CardiacYieldDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
755	CardiacYield_nobleK1Conductance	CardiacYield				tools/lean/Semantics/Semantics/Extensions/CardiacYieldDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
756	CellularSignaling_goldbeterKoshlandSwitch	CellularSignaling				tools/lean/Semantics/Semantics/Extensions/CellularSignalingDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
757	CellularSignaling_MitoticState	CellularSignaling				tools/lean/Semantics/Semantics/Extensions/CellularSignalingDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
758	CellularSignaling_tysonStep	CellularSignaling				tools/lean/Semantics/Semantics/Extensions/CellularSignalingDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
759	CellularSignaling_molecularRepression	CellularSignaling				tools/lean/Semantics/Semantics/Extensions/CellularSignalingDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
760	CellularSignaling_chemotacticFlux	CellularSignaling				tools/lean/Semantics/Semantics/Extensions/CellularSignalingDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
761	CognitiveAcoustic_integratedInformationPhi	CognitiveAcoustic				tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
762	CognitiveAcoustic_gnwGating	CognitiveAcoustic				tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
763	CognitiveAcoustic_orchOrCollapseTime	CognitiveAcoustic				tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
764	CognitiveAcoustic_sonarRange	CognitiveAcoustic				tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
765	CognitiveAcoustic_gammatoneEnvelope	CognitiveAcoustic				tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
766	CognitiveAcoustic_xenobotReplicationProb	CognitiveAcoustic				tools/lean/Semantics/Semantics/Extensions/CognitiveAcousticDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
767	CognitiveLearning_associativeStrengthUpdate	CognitiveLearning				tools/lean/Semantics/Semantics/Extensions/CognitiveLearningDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
768	CognitiveLearning_levySearchProbability	CognitiveLearning				tools/lean/Semantics/Semantics/Extensions/CognitiveLearningDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
769	CognitiveLearning_isCognitiveSwitchOptimal	CognitiveLearning				tools/lean/Semantics/Semantics/Extensions/CognitiveLearningDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
770	CognitiveLearning_memorySamplingProb	CognitiveLearning				tools/lean/Semantics/Semantics/Extensions/CognitiveLearningDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
771	ConstrainedEnergy_constrainedTEE	ConstrainedEnergy				tools/lean/Semantics/Semantics/Extensions/ConstrainedEnergyDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
772	ConstrainedEnergy_energyCompensationConstant	ConstrainedEnergy				tools/lean/Semantics/Semantics/Extensions/ConstrainedEnergyDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
773	ConstrainedEnergy_metabolicCeiling	ConstrainedEnergy				tools/lean/Semantics/Semantics/Extensions/ConstrainedEnergyDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
774	ConstrainedEnergy_metabolicScope	ConstrainedEnergy				tools/lean/Semantics/Semantics/Extensions/ConstrainedEnergyDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
775	ConstrainedEnergy_maintenanceBudget	ConstrainedEnergy				tools/lean/Semantics/Semantics/Extensions/ConstrainedEnergyDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
776	ConstructalMuscle_optimalBranchingRatio	ConstructalMuscle				tools/lean/Semantics/Semantics/Extensions/ConstructalMuscleDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
777	ConstructalMuscle_muscleShorteningVelocity	ConstructalMuscle				tools/lean/Semantics/Semantics/Extensions/ConstructalMuscleDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
778	ConstructalMuscle_totalMuscleForce	ConstructalMuscle				tools/lean/Semantics/Semantics/Extensions/ConstructalMuscleDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
779	ConstructalMuscle_surfaceVolumeRatio	ConstructalMuscle				tools/lean/Semantics/Semantics/Extensions/ConstructalMuscleDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
780	CorticalScaling_corticalNeuronScaling	CorticalScaling				tools/lean/Semantics/Semantics/Extensions/CorticalScalingDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
781	CorticalScaling_whiteMatterScaling	CorticalScaling				tools/lean/Semantics/Semantics/Extensions/CorticalScalingDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
782	CorticalScaling_isDendriticBranchLawful	CorticalScaling				tools/lean/Semantics/Semantics/Extensions/CorticalScalingDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
783	CorticalScaling_synapsisPerPairInvariant	CorticalScaling				tools/lean/Semantics/Semantics/Extensions/CorticalScalingDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
784	EcologicalInformation_margalefRichness	EcologicalInformation				tools/lean/Semantics/Semantics/Extensions/EcologicalInformationDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
785	EcologicalInformation_shannonDiversity	EcologicalInformation				tools/lean/Semantics/Semantics/Extensions/EcologicalInformationDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
786	EcologicalInformation_isSystemStable	EcologicalInformation				tools/lean/Semantics/Semantics/Extensions/EcologicalInformationDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
787	EcologicalInformation_informationShedding	EcologicalInformation				tools/lean/Semantics/Semantics/Extensions/EcologicalInformationDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
788	EcologicalNetwork_and	EcologicalNetwork				tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
789	EcologicalNetwork_redfieldCheck	EcologicalNetwork				tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
790	EcologicalNetwork_hollingType1	EcologicalNetwork				tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
791	EcologicalNetwork_hollingType2	EcologicalNetwork				tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
792	EcologicalNetwork_hollingType3	EcologicalNetwork				tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
793	EcologicalNetwork_networkConnectance	EcologicalNetwork				tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
794	EcologicalNetwork_taylorsVariance	EcologicalNetwork				tools/lean/Semantics/Semantics/Extensions/EcologicalNetworkDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
795	Epidemiological_basicReproductionNumber	Epidemiological				tools/lean/Semantics/Semantics/Extensions/EpidemiologicalDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
796	Epidemiological_herdImmunityThreshold	Epidemiological				tools/lean/Semantics/Semantics/Extensions/EpidemiologicalDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
797	Epidemiological_SIRState	Epidemiological				tools/lean/Semantics/Semantics/Extensions/EpidemiologicalDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
798	Epidemiological_sirUpdate	Epidemiological				tools/lean/Semantics/Semantics/Extensions/EpidemiologicalDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
799	EpidemiologicalTrophic_reedFrostNewCases	EpidemiologicalTrophic				tools/lean/Semantics/Semantics/Extensions/EpidemiologicalTrophicDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
800	EpidemiologicalTrophic_trophicWaveUpdate	EpidemiologicalTrophic				tools/lean/Semantics/Semantics/Extensions/EpidemiologicalTrophicDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
801	EpidemiologicalTrophic_trophicKinetics	EpidemiologicalTrophic				tools/lean/Semantics/Semantics/Extensions/EpidemiologicalTrophicDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
802	EvolutionaryLandscape_frequencyChangeGradient	EvolutionaryLandscape				tools/lean/Semantics/Semantics/Extensions/EvolutionaryLandscapeDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
803	EvolutionaryLandscape_populationMeanFitness	EvolutionaryLandscape				tools/lean/Semantics/Semantics/Extensions/EvolutionaryLandscapeDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
804	EvolutionaryLandscape_isDriftDominant	EvolutionaryLandscape				tools/lean/Semantics/Semantics/Extensions/EvolutionaryLandscapeDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
805	EvolutionaryLandscape_isAscendingPeak	EvolutionaryLandscape				tools/lean/Semantics/Semantics/Extensions/EvolutionaryLandscapeDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
806	EvolutionaryNetwork_in	EvolutionaryNetwork				tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
807	EvolutionaryNetwork_hawkDoveMixedStrategy	EvolutionaryNetwork				tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
808	EvolutionaryNetwork_isStrategyStable	EvolutionaryNetwork				tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
809	EvolutionaryNetwork_genusExtinctionRate	EvolutionaryNetwork				tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
810	EvolutionaryNetwork_degreeProbability	EvolutionaryNetwork				tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
811	EvolutionaryNetwork_attachmentWeight	EvolutionaryNetwork				tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
812	EvolutionaryNetwork_isMutationNeutral	EvolutionaryNetwork				tools/lean/Semantics/Semantics/Extensions/EvolutionaryNetworkDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
813	GenomicStoichiometric_adamiComplexity	GenomicStoichiometric				tools/lean/Semantics/Semantics/Extensions/GenomicStoichiometricDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
814	GenomicStoichiometric_regulatoryGeneCount	GenomicStoichiometric				tools/lean/Semantics/Semantics/Extensions/GenomicStoichiometricDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
815	GenomicStoichiometric_revelleFactor	GenomicStoichiometric				tools/lean/Semantics/Semantics/Extensions/GenomicStoichiometricDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
816	GenomicStoichiometric_remineralizationOxygenRatio	GenomicStoichiometric				tools/lean/Semantics/Semantics/Extensions/GenomicStoichiometricDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
817	LocomotionMuscle_strouhalNumber	LocomotionMuscle				tools/lean/Semantics/Semantics/Extensions/LocomotionMuscleDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
818	LocomotionMuscle_isPropulsionEfficient	LocomotionMuscle				tools/lean/Semantics/Semantics/Extensions/LocomotionMuscleDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
819	LocomotionMuscle_froudeNumber	LocomotionMuscle				tools/lean/Semantics/Semantics/Extensions/LocomotionMuscleDynamics.lean	Lean	✅		LAYER_J_DYNAMICS	thermodynamic_bind
820	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
821	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
822	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
823	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
824	ASICTopology_rtl8126Topology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
825	ASICTopology_findNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
826	ASICTopology_findEdgesFrom	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
827	ASICTopology_geodesicDistance	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
828	ASICTopology_ASICOptimalPath	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
829	ASICTopology_findOptimalPath	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
830	ASICTopology_Workload	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
831	ASICTopology_AdmissibilityResult	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
832	ASICTopology_checkOperationAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
833	ASICTopology_checkWorkloadAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
834	ASICTopology_AngrySphinxSafetyGate	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
835	ASICTopology_applyAngrySphinxGate	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
836	ASICTopology_ProjectionResult	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
837	ASICTopology_projectWorkloadToTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
838	ASICTopology_ASICToManifoldTranslation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
839	ASICTopology_ManifoldToASICTranslation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
840	ASICTopology_createASICToManifoldMapping	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
841	ASICTopology_createManifoldToASICMapping	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
842	ASICTopology_translateManifoldToASIC	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
843	ASICTopology_translateASICToManifold	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
844	ASICTopology_asicOptimizedAddressTranslation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
845	ASICTopology_asicOptimizedChecksum	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
846	ASICTopology_ASICOptimizedInput	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
847	ASICTopology_ASICOptimizedOutput	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
848	ASICTopology_performASICOptimizedOperation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
849	ASICTopology_asicInputInvariant	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
850	ASICTopology_asicOutputInvariant	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
851	ASICTopology_asicOperationCost	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
852	ASICTopology_asicBind	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
853	ASICTopology_findNode_some_if_exists	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
854	ASICTopology_findNode_none_if_not_exists	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
855	ASICTopology_findEdgesFrom_sourceId_correct	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
856	ASICTopology_arbitraryCompute_never_admissible	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
857	ASICTopology_checkOperationAdmissibility_deterministic	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
858	ASICTopology_ManifoldToASICChain	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
859	ASICTopology_executeManifoldToASICChain	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
860	AdversarialTopologyTest_AdversarialTopologyQuestion	AdversarialTopologyTest				tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
861	AdversarialTopologyTest_AdversarialTopologyResult	AdversarialTopologyTest				tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
862	AdversarialTopologyTest_adversarialTopologyQuizBank	AdversarialTopologyTest				tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
863	AdversarialTopologyTest_runAdversarialTopologyQuiz	AdversarialTopologyTest				tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
864	AdversarialTopologyTest_testAdversarialTopology	AdversarialTopologyTest				tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
865	BraidBracket_PhaseVec	BraidBracket				tools/lean/Semantics/Semantics/BraidBracket.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
866	BraidBracket_zero	BraidBracket				tools/lean/Semantics/Semantics/BraidBracket.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
867	BraidBracket_add	BraidBracket				tools/lean/Semantics/Semantics/BraidBracket.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
868	BraidBracket_neg	BraidBracket				tools/lean/Semantics/Semantics/BraidBracket.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
869	BraidBracket_isZero	BraidBracket				tools/lean/Semantics/Semantics/BraidBracket.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
870	CompressionControl_ControlState	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
871	CompressionControl_confidenceThreshold	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
872	CompressionControl_redThreshold	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
873	CompressionControl_blueThreshold	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
874	CompressionControl_updateConfidence	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
875	CompressionControl_getControlFlag	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
876	CompressionControl_canonicalized	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
877	CompressionControl_pruneDecision	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
878	CompressionControl_localUpdate	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
879	CompressionControl_cacheUpdate	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
880	CompressionControl_canonicalize	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
881	CompressionControl_prune	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
882	CompressionControl_controlStep	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
883	CompressionControl_controlAdmissible	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
884	CompressionControl_cachedCanonicalized	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
885	CompressionControl_pruneSetsPruned	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
886	CompressionControl_highConfidenceAdmissibleNotPruned	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
887	CompressionControl_seenCacheCanonicalized	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
888	CompressionControl_sampleControlState	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
889	CompressionControl_sampleControlStep	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
890	CompressionEvidence_BasisBudget	CompressionEvidence				tools/lean/Semantics/Semantics/CompressionEvidence.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
891	CompressionEvidence_LocalEnvironment	CompressionEvidence				tools/lean/Semantics/Semantics/CompressionEvidence.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
892	CompressionEvidence_mkLocalEnvironment	CompressionEvidence				tools/lean/Semantics/Semantics/CompressionEvidence.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
893	CompressionEvidence_retainedBasisError	CompressionEvidence				tools/lean/Semantics/Semantics/CompressionEvidence.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
894	CompressionEvidence_isBodyOrderedUpTo	CompressionEvidence				tools/lean/Semantics/Semantics/CompressionEvidence.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
895	CompressionEvidence_withinResidualLimit	CompressionEvidence				tools/lean/Semantics/Semantics/CompressionEvidence.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
896	CompressionEvidence_compressionAdmissible	CompressionEvidence				tools/lean/Semantics/Semantics/CompressionEvidence.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
897	CompressionEvidence_energyDecomposesRetainedPlusResidual	CompressionEvidence				tools/lean/Semantics/Semantics/CompressionEvidence.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
898	CompressionEvidence_retainedBasisErrorEqResidual	CompressionEvidence				tools/lean/Semantics/Semantics/CompressionEvidence.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
899	CompressionEvidence_residualToleranceMonotone	CompressionEvidence				tools/lean/Semantics/Semantics/CompressionEvidence.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
900	CompressionEvidence_admissibleOfEvidence	CompressionEvidence				tools/lean/Semantics/Semantics/CompressionEvidence.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
901	CompressionEvidence_sampleBudget	CompressionEvidence				tools/lean/Semantics/Semantics/CompressionEvidence.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
902	CompressionEvidence_sampleEnvironment	CompressionEvidence				tools/lean/Semantics/Semantics/CompressionEvidence.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
903	CompressionEvidence_sampleResidualEnvironment	CompressionEvidence				tools/lean/Semantics/Semantics/CompressionEvidence.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
904	CompressionLossComparison_UnifiedField	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
905	CompressionLossComparison_denominator	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
906	CompressionLossComparison_numerator	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
907	CompressionLossComparison_phi	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
908	CompressionLossComparison_loss	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
909	CompressionLossComparison_StandardTrainingLoss	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
910	CompressionLossComparison_StandardTrainingLoss	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
911	CompressionLossComparison_standardToUnified	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
912	CompressionLossComparison_SelfCompressionLoss	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
913	CompressionLossComparison_SelfCompressionLoss	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
914	CompressionLossComparison_selfCompressionToUnified	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
915	CompressionLossComparison_FieldBasedLoss	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
916	CompressionLossComparison_FieldBasedLoss	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
917	CompressionLossComparison_standard_is_degenerate_field	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
918	CompressionLossComparison_self_compression_has_curvature	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
919	CompressionLossComparison_field_based_strictly_generalizes_standard	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
920	SolitonTensor_SolitonWave	SolitonTensor				tools/lean/Semantics/Semantics/SolitonTensor.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
921	SolitonTensor_emit	SolitonTensor				tools/lean/Semantics/Semantics/SolitonTensor.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
922	SolitonTensor_propagate	SolitonTensor				tools/lean/Semantics/Semantics/SolitonTensor.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
923	AVMRProofs_3	AVMRProofs				tools/lean/Semantics/Semantics/AVMRProofs.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
924	AVMRTheorems_proves	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
925	AVMRTheorems_tipCoordinateMassResonance	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
926	AVMRTheorems_fortyFiveLineFactorRevelation	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
927	AVMRTheorems_pronicFactorization	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
928	AVMRTheorems_fortyFiveLineIsGC	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
929	AVMRTheorems_missingLinkODE	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
930	AVMRTheorems_gradientFlowForm	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
931	AgenticTheorems_assignmentRespectsCapabilities	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
932	AgenticTheorems_dependenciesRespected	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
933	AgenticTheorems_orchestrationTermination	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
934	AgenticTheorems_synergyImprovesPerformance	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
935	AgenticTheorems_agentFieldBounded	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
936	AgenticTheorems_loadPenaltyDecreasesField	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
937	CostEffectiveVerification_OntologicalSystem	CostEffectiveVerification				tools/lean/Semantics/Semantics/CostEffectiveVerification.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
938	CostEffectiveVerification_BehavioralOperator	CostEffectiveVerification				tools/lean/Semantics/Semantics/CostEffectiveVerification.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
939	CostEffectiveVerification_BehavioralPoint	CostEffectiveVerification				tools/lean/Semantics/Semantics/CostEffectiveVerification.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
940	CostEffectiveVerification_domainWeightedDistance	CostEffectiveVerification				tools/lean/Semantics/Semantics/CostEffectiveVerification.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
941	CostEffectiveVerification_BehavioralManifold	CostEffectiveVerification				tools/lean/Semantics/Semantics/CostEffectiveVerification.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
942	CostEffectiveVerification_shareSameOperator	CostEffectiveVerification				tools/lean/Semantics/Semantics/CostEffectiveVerification.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
943	CostEffectiveVerification_ontologicallyDifferent	CostEffectiveVerification				tools/lean/Semantics/Semantics/CostEffectiveVerification.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
944	CostEffectiveVerification_groupByOperator	CostEffectiveVerification				tools/lean/Semantics/Semantics/CostEffectiveVerification.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
945	CostEffectiveVerification_NullHypothesis	CostEffectiveVerification				tools/lean/Semantics/Semantics/CostEffectiveVerification.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
946	CostEffectiveVerification_than	CostEffectiveVerification				tools/lean/Semantics/Semantics/CostEffectiveVerification.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
947	CostEffectiveVerification_AlternativeHypothesis	CostEffectiveVerification				tools/lean/Semantics/Semantics/CostEffectiveVerification.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
948	CostEffectiveVerification_than	CostEffectiveVerification				tools/lean/Semantics/Semantics/CostEffectiveVerification.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
949	CostEffectiveVerification_testHypothesis	CostEffectiveVerification				tools/lean/Semantics/Semantics/CostEffectiveVerification.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
950	CostEffectiveVerification_than	CostEffectiveVerification				tools/lean/Semantics/Semantics/CostEffectiveVerification.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
951	GPUVerificationMetaprobe_MetaprobeCommentPayload	GPUVerificationMetaprobe				tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
952	GPUVerificationMetaprobe_GPUVerificationRequest	GPUVerificationMetaprobe				tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
953	GPUVerificationMetaprobe_GPUVerificationResult	GPUVerificationMetaprobe				tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
954	GPUVerificationMetaprobe_actualValue	GPUVerificationMetaprobe				tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
955	GPUVerificationMetaprobe_gpuRequestToCommentPayload	GPUVerificationMetaprobe				tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
956	GPUVerificationMetaprobe_gpuResultToCommentPayload	GPUVerificationMetaprobe				tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
957	GPUVerificationMetaprobe_GPUVerificationBatch	GPUVerificationMetaprobe				tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
958	GPUVerificationMetaprobe_executeGPUVerificationBatch	GPUVerificationMetaprobe				tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
959	GPUVerificationMetaprobe_GPUVerificationSurface	GPUVerificationMetaprobe				tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
960	GPUVerificationMetaprobe_initGPUVerificationSurface	GPUVerificationMetaprobe				tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
961	GPUVerificationMetaprobe_addVerificationBatch	GPUVerificationMetaprobe				tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
962	GPUVerificationMetaprobe_processPendingBatches	GPUVerificationMetaprobe				tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
963	GPUVerificationMetaprobe_GPUVerificationStats	GPUVerificationMetaprobe				tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
964	GPUVerificationMetaprobe_getVerificationStats	GPUVerificationMetaprobe				tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
965	GPUVerificationMetaprobe_createFixedPointVerificationBatch	GPUVerificationMetaprobe				tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
966	GPUVerificationMetaprobe_executeFixedPointVerification	GPUVerificationMetaprobe				tools/lean/Semantics/Semantics/GPUVerificationMetaprobe.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
967	Lean4ImprovementProofs_ImprovementMetrics	Lean4ImprovementProofs				tools/lean/Semantics/Semantics/Lean4ImprovementProofs.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
968	Lean4ImprovementProofs_computePriority	Lean4ImprovementProofs				tools/lean/Semantics/Semantics/Lean4ImprovementProofs.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
969	Lean4ImprovementProofs_Lean4SystemState	Lean4ImprovementProofs				tools/lean/Semantics/Semantics/Lean4ImprovementProofs.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
970	Lean4ImprovementProofs_ImprovementEffect	Lean4ImprovementProofs				tools/lean/Semantics/Semantics/Lean4ImprovementProofs.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
971	Lean4ImprovementProofs_aiTacticsImprovement	Lean4ImprovementProofs				tools/lean/Semantics/Semantics/Lean4ImprovementProofs.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
972	Lean4ImprovementProofs_aiTacticsEffect	Lean4ImprovementProofs				tools/lean/Semantics/Semantics/Lean4ImprovementProofs.lean	Lean	✅		LAYER_E_VERIFICATION	state_bind
973	CrossDimensionalFilter_semanticPrimeCount	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
974	CrossDimensionalFilter_allSemanticPrimes	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
975	CrossDimensionalFilter_MatryoshkaShell	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
976	CrossDimensionalFilter_shellUnderstands	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
977	CrossDimensionalFilter_DimensionalEntity	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
978	CrossDimensionalFilter_primeOverlap	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
979	CrossDimensionalFilter_overlapToScalar	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
980	CrossDimensionalFilter_reductionFilter	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
981	CrossDimensionalFilter_expansionFilter	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
982	CrossDimensionalFilter_CrossShellMessage	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
983	CrossDimensionalFilter_sendCrossShell	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
984	CrossDimensionalFilter_receiveCrossShell	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
985	CrossDimensionalFilter_spawnSubShells	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
986	CrossDimensionalFilter_expansionDimensionCorrect	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
987	CrossDimensionalFilter_preservedPrimesUnderstood	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
988	CrossDimensionalFilter_spawnProducesN2	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
989	CrossDimensionalFilter_allPrimesContained	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
990	CrossDimensionalFilter_filterAllContained	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
991	CrossDimensionalFilter_selfCommunicationPreservesAllPrimes	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
992	EnergyGradientSignal_EnergyGradient	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
993	EnergyGradientSignal_EnergyFunction	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
994	EnergyGradientSignal_EnergyChange	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
995	EnergyGradientSignal_EnergyWaveform	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
996	EnergyGradientSignal_EnergyIncreaseSignal	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
997	EnergyGradientSignal_EnergyDecreaseSignal	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
998	EnergyGradientSignal_EnergySignal	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
999	EnergyGradientSignal_ShapeEnergyCoupling	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1000	EnergyGradientSignal_EnergyGradientSignal	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1001	EnergyGradientSignal_energyGradientInvariant	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1002	EnergyGradientSignal_calculateEnergyChange	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1003	EnergyGradientSignal_computeGradientMagnitude	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1004	EnergyGradientSignal_computeGradientDirection	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1005	EnergyGradientSignal_createEnergyWaveform	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1006	EnergyGradientSignal_calculateShapeEnergyCoupling	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1007	EnergyGradientSignal_energyGradientSignalCost	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1008	EnergyGradientSignal_energyGradientSignalBind	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1009	EnergyGradientSignal_gradientMagnitudeNonNegative	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1010	EnergyGradientSignal_couplingSymmetryCheck	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1011	EnergyGradientSignal_couplingSymmetry	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1012	EnergyGradientSignal_energyChangeAdditive	EnergyGradientSignal				tools/lean/Semantics/Semantics/EnergyGradientSignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1013	MISignal_epsilon	MISignal				tools/lean/Semantics/Semantics/MISignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1014	MISignal_bitsPerByteMax	MISignal				tools/lean/Semantics/Semantics/MISignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1015	MISignal_MIRecord	MISignal				tools/lean/Semantics/Semantics/MISignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1016	MISignal_mutualInformationSignal	MISignal				tools/lean/Semantics/Semantics/MISignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1017	MISignal_knnMIPrediction	MISignal				tools/lean/Semantics/Semantics/MISignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1018	MISignal_surpriseMetric	MISignal				tools/lean/Semantics/Semantics/MISignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1019	MISignal_structureYield	MISignal				tools/lean/Semantics/Semantics/MISignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1020	MISignal_weightedFeatureDistanceSq	MISignal				tools/lean/Semantics/Semantics/MISignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1021	MISignal_miInvariant	MISignal				tools/lean/Semantics/Semantics/MISignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1022	MISignal_miCost	MISignal				tools/lean/Semantics/Semantics/MISignal.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1023	HotPathColdPath_NodeAccessPattern	HotPathColdPath				tools/lean/Semantics/Semantics/HotPathColdPath.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1024	HotPathColdPath_UnifiedTopologyState	HotPathColdPath				tools/lean/Semantics/Semantics/HotPathColdPath.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1025	HotPathColdPath_branchPrediction	HotPathColdPath				tools/lean/Semantics/Semantics/HotPathColdPath.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1026	HotPathColdPath_sluqRouting	HotPathColdPath				tools/lean/Semantics/Semantics/HotPathColdPath.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1027	HotPathColdPath_classifyPath	HotPathColdPath				tools/lean/Semantics/Semantics/HotPathColdPath.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1028	HotPathColdPath_calculateHotPathProbability	HotPathColdPath				tools/lean/Semantics/Semantics/HotPathColdPath.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1029	HotPathColdPath_calculateColdPathProbability	HotPathColdPath				tools/lean/Semantics/Semantics/HotPathColdPath.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1030	HotPathColdPath_calculateUnifiedAdjustment	HotPathColdPath				tools/lean/Semantics/Semantics/HotPathColdPath.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1031	HotPathColdPath_updateUnifiedTopology	HotPathColdPath				tools/lean/Semantics/Semantics/HotPathColdPath.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1032	HotPathColdPath_TopologyAdjustmentAction	HotPathColdPath				tools/lean/Semantics/Semantics/HotPathColdPath.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1033	HotPathColdPath_TopologyAdjustmentBind	HotPathColdPath				tools/lean/Semantics/Semantics/HotPathColdPath.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1034	HotPathColdPath_isTopologyAdjustmentLawful	HotPathColdPath				tools/lean/Semantics/Semantics/HotPathColdPath.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1035	HotPathColdPath_updateNodePattern	HotPathColdPath				tools/lean/Semantics/Semantics/HotPathColdPath.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1036	HotPathColdPath_topologyAdjustmentBind	HotPathColdPath				tools/lean/Semantics/Semantics/HotPathColdPath.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1037	HotPathColdPath_lawfulAdjustmentMaintainsBalance	HotPathColdPath				tools/lean/Semantics/Semantics/HotPathColdPath.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1038	HotPathColdPath_hotPathMonotonicWithFrequency	HotPathColdPath				tools/lean/Semantics/Semantics/HotPathColdPath.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1039	ManifoldNetworking_ManifoldPacket	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1040	ManifoldNetworking_ManifoldQueue	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1041	ManifoldNetworking_enqueuePacket	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1042	ManifoldNetworking_dequeuePacket	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1043	ManifoldNetworking_ManifoldLittleLaw	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1044	ManifoldNetworking_verifyLittleLaw	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1045	ManifoldNetworking_ManifoldTokenBucket	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1046	ManifoldNetworking_consumeTokens	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1047	ManifoldNetworking_ManifoldAIMD	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1048	ManifoldNetworking_aimdUpdate	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1049	ManifoldNetworking_ManifoldCUBIC	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1050	ManifoldNetworking_cubicComputeK	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1051	ManifoldNetworking_cubicUpdate	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1052	ManifoldNetworking_ManifoldRouting	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1053	ManifoldNetworking_selectOptimalPath	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1054	ManifoldNetworking_ManifoldInput	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1055	ManifoldNetworking_ManifoldOutput	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1056	ManifoldNetworking_manifoldInputInvariant	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1057	ManifoldNetworking_manifoldOutputInvariant	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1058	ManifoldNetworking_manifoldOperationCost	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1059	ManifoldNetworking_performManifoldOperation	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1060	ManifoldNetworking_manifoldBind	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1061	ManifoldNetworking_isNormalNetworkLimit_fails_nonZeroCurvature	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1062	ManifoldNetworking_isNormalNetworkLimit_fails_nonZeroTorsion	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1063	ManifoldNetworking_isNormalNetworkLimit_fails_notSinglePath	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1064	ManifoldNetworking_isNormalNetworkLimit_fails_notSequential	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1065	ManifoldNetworking_manifoldPacket_preservesSize	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1066	ManifoldNetworking_manifoldQueue_preservesCount_enqueue	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1067	ManifoldNetworking_manifoldQueue_preservesCount_dequeue	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1068	ManifoldNetworking_littleLawVerification_preservesValidity	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1069	ManifoldNetworking_NormalNetworkLimitConditions	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1070	ManifoldNetworking_isNormalNetworkLimit	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1071	ManifoldNetworking_normalNetworkLimit	ManifoldNetworking				tools/lean/Semantics/Semantics/ManifoldNetworking.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1072	MorphicNeuralNetwork_ScalarInput	MorphicNeuralNetwork				tools/lean/Semantics/Semantics/MorphicNeuralNetwork.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1073	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1074	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1075	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1076	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1077	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1078	AMMR_ammrStateFromTorsionalTile_usesTileInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1079	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1080	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1081	ASICTopology_asicInputInvariant	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1082	ASICTopology_asicOutputInvariant	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1083	AVMR_vectorField	AVMR				tools/lean/Semantics/Semantics/AVMR.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1084	AVMRProofs_3	AVMRProofs				tools/lean/Semantics/Semantics/AVMRProofs.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1085	AVMRTheorems_proves	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1086	AVMRTheorems_tipCoordinateMassResonance	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1087	AVMRTheorems_fortyFiveLineFactorRevelation	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1088	AVMRTheorems_pronicFactorization	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1089	AVMRTheorems_fortyFiveLineIsGC	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1090	AVMRTheorems_missingLinkODE	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1091	AVMRTheorems_gradientFlowForm	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1092	AgenticOrchestrationField_AgentFieldParams	AgenticOrchestrationField				tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1093	AgenticOrchestrationField_CoordinationParams	AgenticOrchestrationField				tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1094	AgenticOrchestrationField_agentField	AgenticOrchestrationField				tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1095	AgenticOrchestrationField_coordinationField	AgenticOrchestrationField				tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1096	AgenticOrchestrationField_teamOrchestrationField	AgenticOrchestrationField				tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1097	AgenticTheorems_assignmentRespectsCapabilities	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1098	AgenticTheorems_dependenciesRespected	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1099	AgenticTheorems_orchestrationTermination	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1100	AgenticTheorems_synergyImprovesPerformance	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1101	AgenticTheorems_agentFieldBounded	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1102	AgenticTheorems_loadPenaltyDecreasesField	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1103	AngrySphinxPolicy_enforceAngrySphinxGate	AngrySphinxPolicy				tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1104	Atoms_DiscreteSemanticState	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1105	Atoms_updateSemanticStateFromGeometry	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1106	Atoms_updateSemanticStateFromChristoffel	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1107	BaselineTest_invariantPreservationPerByte	BaselineTest				tools/lean/Semantics/Semantics/BaselineTest.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1108	Bind_physicalBind	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1109	BindEngine_SMInvariants	BindEngine				tools/lean/Semantics/Semantics/BindEngine.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1110	BracketShellCount_gapConservation	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1111	BracketedCalculus_checkGapConservation	BracketedCalculus				tools/lean/Semantics/Semantics/BracketedCalculus.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1112	BraidField_where	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1113	BraidField_IntNode	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1114	BraidField_IntNode	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1115	BraidField_BettiCycle	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1116	BraidField_BettiCycleSet	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1117	BraidField_BettiCycleSet	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1118	BraidField_is	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1119	BraidField_height	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1120	BraidField_apex	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1121	BraidField_base	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1122	BraidField_inner	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1123	BraidField_merge	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1124	BraidField_size	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1125	BraidField_peaks	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1126	BraidField_latestPeak	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1127	BraidField_append	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1128	BraidField_isStable	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1129	BraidField_PISTField	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1130	BraidField_burdenCost	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1131	BraidField_geometryCost	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1132	BraidField_adaptationCost	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1133	BraidField_protectionCost	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1134	BraidField_computePIST	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1135	BraidField_SpherionState	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1136	BraidField_SpherionState	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1137	BraidField_voidUpdate	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1138	BraidField_betaStep	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1139	BraidField_rgFlow	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1140	BraidField_SpherionState	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1141	BraidField_SpherionState	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1142	BraidField_mkSpike	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1143	BraidField_exampleFlow	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1144	BraidField_twoSpikeMerge	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1145	CacheSieve_sieveInvariant	CacheSieve				tools/lean/Semantics/Semantics/CacheSieve.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1146	CanonAdapters_CanonicalVectorSpec	CanonAdapters				tools/lean/Semantics/Semantics/CanonAdapters.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1147	CanonAdapters_CanonicalVectorSpec	CanonAdapters				tools/lean/Semantics/Semantics/CanonAdapters.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1148	CanonAdapters_emptyCanonicalVectorWidth	CanonAdapters				tools/lean/Semantics/Semantics/CanonAdapters.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1149	CanonSerialization_FieldSpec	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1150	CanonSerialization_CanonicalField	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1151	CanonSerialization_SourceField	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1152	CanonSerialization_fieldKindTag	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1153	CanonSerialization_serializeCanonicalField	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1154	CanonSerialization_fieldKindCoreSafe	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1155	CanonSerialization_uniqueFieldNames	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1156	CanonicalInterval_canonicalIntervalInvariant	CanonicalInterval				tools/lean/Semantics/Semantics/CanonicalInterval.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1157	CasimirMetaprobe_boltzmannConstant	CasimirMetaprobe				tools/lean/Semantics/Semantics/CasimirMetaprobe.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1158	CasimirMetaprobe_parallelPlateForcePerArea	CasimirMetaprobe				tools/lean/Semantics/Semantics/CasimirMetaprobe.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1159	CasimirMetaprobe_thermalCasimirForce	CasimirMetaprobe				tools/lean/Semantics/Semantics/CasimirMetaprobe.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1160	ClassicalEuclideanGeometry_ThalesTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1161	ClassicalEuclideanGeometry_pythagoreanTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1162	ClassicalEuclideanGeometry_powerOfPointTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1163	ClassicalEuclideanGeometry_chordTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1164	ClassicalEuclideanGeometry_secantTangentTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1165	ClassicalEuclideanGeometry_euclidSecondTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1166	ClassicalEuclideanGeometry_unitSegmentSqrtProperty	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1167	CognitiveLoad_loadInvariant	CognitiveLoad				tools/lean/Semantics/Semantics/CognitiveLoad.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1168	CompressionMaximization_compressionRatioPhysicalConstraint	CompressionMaximization				tools/lean/Semantics/Semantics/CompressionMaximization.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1169	CompressionMaximization_theoreticalLimitViolatesPhysicalConstraint	CompressionMaximization				tools/lean/Semantics/Semantics/CompressionMaximization.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1170	CompressionMechanics_MechanicalCompressionWitness	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1171	CompressionMechanics_summaryAligned	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1172	CompressionMechanics_contactOrderCovered	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1173	CompressionMechanics_actuationBudgeted	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1174	CompressionMechanics_workBudgeted	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1175	CompressionMechanics_mechanicallyAdmissible	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1176	CompressionMechanics_witnessOfCompression	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1177	CompressionMechanics_mechanicallyAdmissibleOfBounds	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1178	CompressionMechanics_positiveWorkOfIrreversibleCompression	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1179	CompressionMechanics_compressionContractsMechanicalOrder	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1180	CompressionMechanics_sampleMechanicalCompressionWitness	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1181	CompressionMechanicsBridge_SubstrateWitness	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1182	CompressionMechanicsBridge_dissipationCovered	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1183	CompressionMechanicsBridge_supportCovered	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1184	CompressionMechanicsBridge_defectToleranceCovered	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1185	CompressionMechanicsBridge_substrateAdmissible	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1186	CompressionMechanicsBridge_witnessOfDefect	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1187	CompressionMechanicsBridge_substrateAdmissibleOfBounds	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1188	CompressionMechanicsBridge_resolvedSitesLeSupportBudget	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1189	CompressionMechanicsBridge_landauerCoveredBySubstrate	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1190	CompressionMechanicsBridge_compressionTracePhysicallyAdmissible	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1191	CompressionMechanicsBridge_sampleSubstrateWitness	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1192	ConservationTest_ConservationQuestion	ConservationTest				tools/lean/Semantics/Semantics/ConservationTest.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1193	ConservationTest_ConservationResult	ConservationTest				tools/lean/Semantics/Semantics/ConservationTest.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1194	ConservationTest_conservationQuizBank	ConservationTest				tools/lean/Semantics/Semantics/ConservationTest.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1195	ConservationTest_runConservationQuiz	ConservationTest				tools/lean/Semantics/Semantics/ConservationTest.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1196	ConservationTest_testTokenConservation	ConservationTest				tools/lean/Semantics/Semantics/ConservationTest.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1197	Constitution_no_motion_without_lawful_path	Constitution				tools/lean/Semantics/Semantics/Constitution.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1198	CooperativeLUT_drakeConstant	CooperativeLUT				tools/lean/Semantics/Semantics/CooperativeLUT.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1199	CooperativeLUT_driftBarrierConstant	CooperativeLUT				tools/lean/Semantics/Semantics/CooperativeLUT.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1200	CooperativeLUT_biophysicalLUT	CooperativeLUT				tools/lean/Semantics/Semantics/CooperativeLUT.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1201	CooperativeLUT_connectomeInvariant	CooperativeLUT				tools/lean/Semantics/Semantics/CooperativeLUT.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1202	CooperativeLUT_btbSizeInvariant	CooperativeLUT				tools/lean/Semantics/Semantics/CooperativeLUT.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1203	CostEffectiveVerification_OntologicalSystem	CostEffectiveVerification				tools/lean/Semantics/Semantics/CostEffectiveVerification.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1204	CostEffectiveVerification_ontologicallyDifferent	CostEffectiveVerification				tools/lean/Semantics/Semantics/CostEffectiveVerification.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1205	CriticalityDynamics_abelianInvariantHoldsByLoadSum	CriticalityDynamics				tools/lean/Semantics/Semantics/CriticalityDynamics.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1206	CrossDimensionalFilter_preservedPrimesUnderstood	CrossDimensionalFilter				tools/lean/Semantics/Semantics/CrossDimensionalFilter.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1207	Curvature_curvatureInvariant	Curvature				tools/lean/Semantics/Semantics/Curvature.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1208	DSPTranslation_priorInvariant	DSPTranslation				tools/lean/Semantics/Semantics/DSPTranslation.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1209	DSPTranslation_stateInvariant	DSPTranslation				tools/lean/Semantics/Semantics/DSPTranslation.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1210	DefectMechanics_DefectWitness	DefectMechanics				tools/lean/Semantics/Semantics/DefectMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1211	DefectMechanics_vacancyCovered	DefectMechanics				tools/lean/Semantics/Semantics/DefectMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1212	DefectMechanics_distortionBounded	DefectMechanics				tools/lean/Semantics/Semantics/DefectMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1213	DefectMechanics_defectBudgeted	DefectMechanics				tools/lean/Semantics/Semantics/DefectMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1214	DefectMechanics_defectAdmissible	DefectMechanics				tools/lean/Semantics/Semantics/DefectMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1215	DefectMechanics_witnessOfMechanical	DefectMechanics				tools/lean/Semantics/Semantics/DefectMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1216	DefectMechanics_defectAdmissibleOfBounds	DefectMechanics				tools/lean/Semantics/Semantics/DefectMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1217	DefectMechanics_vacancyCountLeOccupancyBound	DefectMechanics				tools/lean/Semantics/Semantics/DefectMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1218	DefectMechanics_compressionContractsVacancyCount	DefectMechanics				tools/lean/Semantics/Semantics/DefectMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1219	DefectMechanics_distortionLeActuationBudget	DefectMechanics				tools/lean/Semantics/Semantics/DefectMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1220	DefectMechanics_sampleDefectWitness	DefectMechanics				tools/lean/Semantics/Semantics/DefectMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1221	DeltaGCLCompression_modelTypeFromPTOS	DeltaGCLCompression				tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1222	DeltaGCLCompression_angrySphinxEnergyAsymmetry	DeltaGCLCompression				tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1223	DeltaGCLCompression_angrySphinx_energy_asymmetry_exponential	DeltaGCLCompression				tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1224	DeltaGCLCompression_wardenValidateProof	DeltaGCLCompression				tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1225	DeltaGCLCompression_triumvirate_warden_proof_validation	DeltaGCLCompression				tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1226	DeltaGCLCompression_nucleic_concatenation_preserves_invariants	DeltaGCLCompression				tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1227	DeltaGCLCompression_nucleic_interleaving_preserves_invariants	DeltaGCLCompression				tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1228	DeltaGCLCompression_verifyActionProof	DeltaGCLCompression				tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1229	DeltaGCLCompression_attestation_requires_proof	DeltaGCLCompression				tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1230	DeltaGCLCompression_attestation_rejects_disallowed_types	DeltaGCLCompression				tools/lean/Semantics/Semantics/DeltaGCLCompression.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1231	DiffusionSNRBias_energyConservation	DiffusionSNRBias				tools/lean/Semantics/Semantics/DiffusionSNRBias.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1232	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1233	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1234	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1235	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1236	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1237	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1238	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1239	ASICTopology_rtl8126Topology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1240	ASICTopology_findNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1241	ASICTopology_findEdgesFrom	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1242	ASICTopology_geodesicDistance	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1243	ASICTopology_ASICOptimalPath	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1244	ASICTopology_findOptimalPath	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1245	ASICTopology_Workload	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1246	ASICTopology_AdmissibilityResult	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1247	ASICTopology_checkOperationAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1248	ASICTopology_checkWorkloadAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1249	ASICTopology_AngrySphinxSafetyGate	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1250	ASICTopology_applyAngrySphinxGate	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1251	ASICTopology_ProjectionResult	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1252	ASICTopology_projectWorkloadToTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1253	ASICTopology_ASICToManifoldTranslation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1254	ASICTopology_ManifoldToASICTranslation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1255	ASICTopology_createASICToManifoldMapping	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1256	ASICTopology_createManifoldToASICMapping	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1257	ASICTopology_translateManifoldToASIC	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1258	ASICTopology_translateASICToManifold	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1259	ASICTopology_asicOptimizedAddressTranslation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1260	ASICTopology_asicOptimizedChecksum	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1261	ASICTopology_ASICOptimizedInput	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1262	ASICTopology_ASICOptimizedOutput	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1263	ASICTopology_performASICOptimizedOperation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1264	ASICTopology_asicInputInvariant	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1265	ASICTopology_asicOutputInvariant	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1266	ASICTopology_asicOperationCost	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1267	ASICTopology_asicBind	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1268	ASICTopology_findNode_some_if_exists	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1269	ASICTopology_findNode_none_if_not_exists	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1270	ASICTopology_findEdgesFrom_sourceId_correct	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1271	ASICTopology_arbitraryCompute_never_admissible	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1272	ASICTopology_checkOperationAdmissibility_deterministic	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1273	ASICTopology_ManifoldToASICChain	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1274	ASICTopology_executeManifoldToASICChain	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1275	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1276	AVMRInformation_shellEntropy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1277	AVMRInformation_shellEntropyBound	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1278	AVMRInformation_degeneracy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1279	AVMRInformation_totalCodons	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1280	AVMRInformation_avgDegeneracyCloseToE	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1281	AVMRProofs_3	AVMRProofs				tools/lean/Semantics/Semantics/AVMRProofs.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1282	AVMRTheorems_proves	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1283	AVMRTheorems_tipCoordinateMassResonance	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1284	AVMRTheorems_fortyFiveLineFactorRevelation	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1285	AVMRTheorems_pronicFactorization	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1286	AVMRTheorems_fortyFiveLineIsGC	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1287	AVMRTheorems_missingLinkODE	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1288	AVMRTheorems_gradientFlowForm	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1289	AgenticHardware_AgentFrustrationWave	AgenticHardware				tools/lean/Semantics/Semantics/AgenticHardware.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1290	AgenticTheorems_assignmentRespectsCapabilities	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1291	AgenticTheorems_dependenciesRespected	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1292	AgenticTheorems_orchestrationTermination	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1293	AgenticTheorems_synergyImprovesPerformance	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1294	AgenticTheorems_agentFieldBounded	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1295	AgenticTheorems_loadPenaltyDecreasesField	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1296	AtomicResolution_compressionContractsAtomicResolution	AtomicResolution				tools/lean/Semantics/Semantics/AtomicResolution.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1297	Atoms_DiscreteSemanticState	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1298	Atoms_SemanticFrustrationWave	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1299	Atoms_updateSemanticStateFromGeometry	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1300	Atoms_updateSemanticStateFromChristoffel	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1301	Basic_BasicFrustrationWave	Basic				tools/lean/Semantics/Semantics/Basic.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1302	Bind_informationalBind	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1303	Bind_informationalBind_preservesLeft	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1304	Bind_informationalBind_preservesRight	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1305	Bind_InformationTheoreticConstraints	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1306	Bind_InformationTheoreticConstraints	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1307	BitcoinMetaprobe_filterBatch	BitcoinMetaprobe				tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1308	BitcoinRGFlow_bitcoinInformationalBind	BitcoinRGFlow				tools/lean/Semantics/Semantics/BitcoinRGFlow.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1309	BracketedCalculus_encode	BracketedCalculus				tools/lean/Semantics/Semantics/BracketedCalculus.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1310	CBFHardwareMetaprobe_clockFrequency	CBFHardwareMetaprobe				tools/lean/Semantics/Semantics/CBFHardwareMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1311	CanonSerialization_encodeU16BE	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1312	CanonSerialization_encodeU32BE	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1313	CanonSerialization_encodeU64BE	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1314	CanonSerialization_encodeNatBE	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1315	CanonSerialization_encodeText	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1316	CanonSerialization_FilteredField	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1317	CanonSerialization_FilterResult	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1318	CanonSerialization_FilterRule	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1319	CanonSerialization_applyFilters	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1320	CanonSerialization_filter_safe_no_adversarial_kept	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1321	CasimirMetaprobe_plasmaFrequency	CasimirMetaprobe				tools/lean/Semantics/Semantics/CasimirMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1322	ClassicalEuclideanGeometry_ThalesTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1323	ClassicalEuclideanGeometry_pythagoreanTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1324	ClassicalEuclideanGeometry_powerOfPointTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1325	ClassicalEuclideanGeometry_chordTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1326	ClassicalEuclideanGeometry_secantTangentTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1327	ClassicalEuclideanGeometry_euclidSecondTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1328	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1329	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1330	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1331	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1332	AMMR_verdictAllowsRoute	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1333	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1334	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1335	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1336	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1337	AMMR_ammrStateFromTorsionalTile_usesTileInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1338	ASCIIArtCompetition_evaluateStyleClassification	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1339	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1340	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1341	ASICTopology_ASICOptimalPath	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1342	ASICTopology_findOptimalPath	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1343	ASICTopology_checkOperationAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1344	ASICTopology_checkWorkloadAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1345	ASICTopology_asicOptimizedChecksum	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1346	ASICTopology_performASICOptimizedOperation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1347	ASICTopology_asicInputInvariant	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1348	ASICTopology_asicOutputInvariant	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1349	ASICTopology_asicOperationCost	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1350	ASICTopology_checkOperationAdmissibility_deterministic	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1351	AVMR_vectorField	AVMR				tools/lean/Semantics/Semantics/AVMR.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1352	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1353	AVMRProofs_3	AVMRProofs				tools/lean/Semantics/Semantics/AVMRProofs.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1354	AVMRTheorems_proves	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1355	AVMRTheorems_tipCoordinateMassResonance	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1356	AVMRTheorems_fortyFiveLineFactorRevelation	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1357	AVMRTheorems_pronicFactorization	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1358	AVMRTheorems_fortyFiveLineIsGC	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1359	AVMRTheorems_missingLinkODE	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1360	AVMRTheorems_gradientFlowForm	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1361	Adaptation_FlowAudit	Adaptation				tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1362	Adaptation_flowAuditLoop	Adaptation				tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1363	Adaptation_flowAudit	Adaptation				tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1364	Adaptation_flowAuditLoopFinalEqEventually	Adaptation				tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1365	AdaptiveFabric_testConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1366	AdversarialTopologyTest_AdversarialTopologyQuestion	AdversarialTopologyTest				tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1367	AdversarialTopologyTest_AdversarialTopologyResult	AdversarialTopologyTest				tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1368	AdversarialTopologyTest_adversarialTopologyQuizBank	AdversarialTopologyTest				tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1369	AdversarialTopologyTest_runAdversarialTopologyQuiz	AdversarialTopologyTest				tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1370	AdversarialTopologyTest_testAdversarialTopology	AdversarialTopologyTest				tools/lean/Semantics/Semantics/AdversarialTopologyTest.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1371	AgenticHardware_AgentFrustrationWave	AgenticHardware				tools/lean/Semantics/Semantics/AgenticHardware.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1372	AgenticOrchestrationField_AgentFieldParams	AgenticOrchestrationField				tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1373	AgenticOrchestrationField_CoordinationParams	AgenticOrchestrationField				tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1374	AgenticOrchestrationField_agentField	AgenticOrchestrationField				tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1375	AgenticOrchestrationField_coordinationField	AgenticOrchestrationField				tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1376	AgenticOrchestrationField_teamOrchestrationField	AgenticOrchestrationField				tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1377	AgenticTheorems_assignmentRespectsCapabilities	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1378	AgenticTheorems_dependenciesRespected	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1379	AgenticTheorems_orchestrationTermination	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1380	AgenticTheorems_synergyImprovesPerformance	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1381	AgenticTheorems_agentFieldBounded	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1382	AgenticTheorems_loadPenaltyDecreasesField	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1383	AngrySphinxPolicy_checkAngrySphinxCompliance	AngrySphinxPolicy				tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1384	AngrySphinxPolicy_enforceAngrySphinxGate	AngrySphinxPolicy				tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1385	ArrayTest_a1	ArrayTest				tools/lean/Semantics/Semantics/ArrayTest.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1386	ArrayTest_a2	ArrayTest				tools/lean/Semantics/Semantics/ArrayTest.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1387	Atoms_DiscreteSemanticState	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1388	Atoms_SemanticFrustrationWave	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1389	Atoms_updateSemanticStateFromGeometry	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1390	Atoms_updateSemanticStateFromChristoffel	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1391	BaselineTest_BaselineResult	BaselineTest				tools/lean/Semantics/Semantics/BaselineTest.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1392	BaselineTest_BaselineComparison	BaselineTest				tools/lean/Semantics/Semantics/BaselineTest.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1393	BaselineTest_is	BaselineTest				tools/lean/Semantics/Semantics/BaselineTest.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1394	BaselineTest_invariantPreservationPerByte	BaselineTest				tools/lean/Semantics/Semantics/BaselineTest.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1395	BaselineTest_compareCandidateToBaseline	BaselineTest				tools/lean/Semantics/Semantics/BaselineTest.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1396	BaselineTest_baselineQuizBank	BaselineTest				tools/lean/Semantics/Semantics/BaselineTest.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1397	BaselineTest_runBaselineTest	BaselineTest				tools/lean/Semantics/Semantics/BaselineTest.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1398	BaselineTest_baselineGate	BaselineTest				tools/lean/Semantics/Semantics/BaselineTest.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1399	Basic_BasicFrustrationWave	Basic				tools/lean/Semantics/Semantics/Basic.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1400	Bind_physicalBind	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1401	BindEngine_SMInvariants	BindEngine				tools/lean/Semantics/Semantics/BindEngine.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1402	BitcoinMetaprobe_SHARoutingPacket	BitcoinMetaprobe				tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1403	BitcoinMetaprobe_SHARoutingResult	BitcoinMetaprobe				tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1404	BitcoinMetaprobe_filterBatch	BitcoinMetaprobe				tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1405	BitcoinMetaprobe_createSHARoutingPacket	BitcoinMetaprobe				tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1406	BitcoinMetaprobe_routeWithSHA	BitcoinMetaprobe				tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1407	BitcoinMetaprobe_angrySphinxPacketGate_fails_noOperation	BitcoinMetaprobe				tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1408	BitcoinMetaprobe_shaRoutingPacket_hasUniqueKey	BitcoinMetaprobe				tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1409	BitcoinMetaprobe_shaRoutingPacket_preservesBlockHeight	BitcoinMetaprobe				tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1410	BitcoinMetaprobe_shaRoutingPacket_preservesTxId	BitcoinMetaprobe				tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1411	BitcoinMetaprobeEval_computeRoutingPacketHash	BitcoinMetaprobeEval				tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1412	BitcoinMetaprobeEval_testCase1_validOpenwormPayload	BitcoinMetaprobeEval				tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1413	BitcoinMetaprobeEval_testCase2_missingPolicyRoot	BitcoinMetaprobeEval				tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1414	BitcoinMetaprobeEval_testCase3_missingReceipt	BitcoinMetaprobeEval				tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1415	BitcoinMetaprobeEval_testCase4_policyMismatch	BitcoinMetaprobeEval				tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1416	BitcoinMetaprobeEval_testCase5_forbiddenHumanNeuralPayload	BitcoinMetaprobeEval				tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1417	BitcoinMetaprobeEval_testCase6_validBatchFold	BitcoinMetaprobeEval				tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1418	BitcoinMetaprobeEval_testCase7_unsafeBatchEmergence	BitcoinMetaprobeEval				tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1419	BitcoinMetaprobeEval_testCase8_shaOnlyPayload	BitcoinMetaprobeEval				tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1420	BitcoinMetaprobeEval_testCase9_arbitraryComputeOnSHAASIC	BitcoinMetaprobeEval				tools/lean/Semantics/Semantics/BitcoinMetaprobeEval.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1421	BitcoinRGFlow_BitcoinPriceState	BitcoinRGFlow				tools/lean/Semantics/Semantics/BitcoinRGFlow.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1422	BitcoinRGFlow_BitcoinRGFlowBind	BitcoinRGFlow				tools/lean/Semantics/Semantics/BitcoinRGFlow.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1423	BitcoinRGFlow_bitcoinInformationalBind	BitcoinRGFlow				tools/lean/Semantics/Semantics/BitcoinRGFlow.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1424	BitcoinRGFlow_rollingWindowQ16	BitcoinRGFlow				tools/lean/Semantics/Semantics/BitcoinRGFlow.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1425	BitcoinRGFlow_Q1616	BitcoinRGFlow				tools/lean/Semantics/Semantics/BitcoinRGFlow.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1426	BitcoinRGFlow_safeStdQ16	BitcoinRGFlow				tools/lean/Semantics/Semantics/BitcoinRGFlow.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1427	BitcoinRGFlow_logReturnsQ16	BitcoinRGFlow				tools/lean/Semantics/Semantics/BitcoinRGFlow.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1428	BitcoinRGFlow_computeSigmaQQ16	BitcoinRGFlow				tools/lean/Semantics/Semantics/BitcoinRGFlow.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1429	BitcoinRGFlow_isLawfulRGFlowQ16	BitcoinRGFlow				tools/lean/Semantics/Semantics/BitcoinRGFlow.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1430	BitcoinRGFlow_computeMuQQ16	BitcoinRGFlow				tools/lean/Semantics/Semantics/BitcoinRGFlow.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1431	BitcoinRGFlow_bitcoinRGFlowAnalysisQ16	BitcoinRGFlow				tools/lean/Semantics/Semantics/BitcoinRGFlow.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1432	BitcoinRGFlow_batchBitcoinRGFlowQ16	BitcoinRGFlow				tools/lean/Semantics/Semantics/BitcoinRGFlow.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1433	BracketShellCount_gapConservation	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1434	BracketedCalculus_checkGapConservation	BracketedCalculus				tools/lean/Semantics/Semantics/BracketedCalculus.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1435	BraidField_where	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1436	BraidField_IntNode	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1437	BraidField_IntNode	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1438	BraidField_BettiCycle	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1439	BraidField_BettiCycleSet	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1440	BraidField_BettiCycleSet	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1441	BraidField_is	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1442	BraidField_height	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1443	BraidField_apex	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1444	BraidField_base	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1445	BraidField_inner	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1446	BraidField_merge	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1447	BraidField_size	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1448	BraidField_peaks	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1449	BraidField_append	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1450	BraidField_isStable	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1451	BraidField_PISTField	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1452	BraidField_burdenCost	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1453	BraidField_geometryCost	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1454	BraidField_adaptationCost	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1455	BraidField_protectionCost	BraidField				tools/lean/Semantics/Semantics/BraidField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1456	CBFHardwareMetaprobe_clockFrequency	CBFHardwareMetaprobe				tools/lean/Semantics/Semantics/CBFHardwareMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1457	CacheSieve_sieveInvariant	CacheSieve				tools/lean/Semantics/Semantics/CacheSieve.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1458	CalibratedKernel_stableDrivenScoreCalibrated	CalibratedKernel				tools/lean/Semantics/Semantics/CalibratedKernel.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1459	CalibratedKernel_routeStableCalibrated	CalibratedKernel				tools/lean/Semantics/Semantics/CalibratedKernel.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1460	Canon_isStable	Canon				tools/lean/Semantics/Semantics/Canon.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1461	Canon_defaultIsStable	Canon				tools/lean/Semantics/Semantics/Canon.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1462	CanonSerialization_FilterResult	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1463	CanonSerialization_FilterRule	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1464	CanonSerialization_applyFilters	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1465	CanonSerialization_filter_safe_no_adversarial_kept	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1466	CanonicalInterval_canonicalIntervalInvariant	CanonicalInterval				tools/lean/Semantics/Semantics/CanonicalInterval.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1467	CasimirMetaprobe_boltzmannConstant	CasimirMetaprobe				tools/lean/Semantics/Semantics/CasimirMetaprobe.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1468	CasimirMetaprobe_parallelPlateForcePerArea	CasimirMetaprobe				tools/lean/Semantics/Semantics/CasimirMetaprobe.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1469	CasimirMetaprobe_plasmaFrequency	CasimirMetaprobe				tools/lean/Semantics/Semantics/CasimirMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1470	CasimirMetaprobe_thermalCasimirForce	CasimirMetaprobe				tools/lean/Semantics/Semantics/CasimirMetaprobe.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1471	ClassicalEuclideanGeometry_ThalesTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1472	ClassicalEuclideanGeometry_pythagoreanTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1473	ClassicalEuclideanGeometry_powerOfPointTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1474	ClassicalEuclideanGeometry_chordTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1475	ClassicalEuclideanGeometry_secantTangentTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1476	ClassicalEuclideanGeometry_euclidSecondTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1477	ClassicalEuclideanGeometry_unitSegmentSqrtProperty	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1478	CognitiveLoad_loadInvariant	CognitiveLoad				tools/lean/Semantics/Semantics/CognitiveLoad.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1479	CompressionLossComparison_isFixedPoint	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1480	CompressionLossComparison_fixedPointStationary	CompressionLossComparison				tools/lean/Semantics/Semantics/CompressionLossComparison.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1481	CompressionMaximization_compressionRatioPhysicalConstraint	CompressionMaximization				tools/lean/Semantics/Semantics/CompressionMaximization.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1482	CompressionMaximization_theoreticalLimitViolatesPhysicalConstraint	CompressionMaximization				tools/lean/Semantics/Semantics/CompressionMaximization.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1483	CompressionMechanics_MechanicalCompressionWitness	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1484	CompressionMechanics_summaryAligned	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1485	CompressionMechanics_contactOrderCovered	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1486	CompressionMechanics_actuationBudgeted	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1487	CompressionMechanics_workBudgeted	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1488	CompressionMechanics_mechanicallyAdmissible	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1489	CompressionMechanics_witnessOfCompression	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1490	CompressionMechanics_mechanicallyAdmissibleOfBounds	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1491	CompressionMechanics_positiveWorkOfIrreversibleCompression	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1492	CompressionMechanics_compressionContractsMechanicalOrder	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1493	CompressionMechanics_sampleMechanicalCompressionWitness	CompressionMechanics				tools/lean/Semantics/Semantics/CompressionMechanics.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1494	CompressionMechanicsBridge_SubstrateWitness	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1495	CompressionMechanicsBridge_dissipationCovered	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1496	CompressionMechanicsBridge_supportCovered	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1497	CompressionMechanicsBridge_defectToleranceCovered	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1498	CompressionMechanicsBridge_substrateAdmissible	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1499	CompressionMechanicsBridge_witnessOfDefect	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1500	CompressionMechanicsBridge_substrateAdmissibleOfBounds	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1501	CompressionMechanicsBridge_resolvedSitesLeSupportBudget	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1502	CompressionMechanicsBridge_landauerCoveredBySubstrate	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1503	CompressionMechanicsBridge_compressionTracePhysicallyAdmissible	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1504	CompressionMechanicsBridge_sampleSubstrateWitness	CompressionMechanicsBridge				tools/lean/Semantics/Semantics/CompressionMechanicsBridge.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1505	Connectors_SpectralNorm	Connectors				tools/lean/Semantics/Semantics/Connectors.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1506	Connectors_isStable	Connectors				tools/lean/Semantics/Semantics/Connectors.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1507	ConservationTest_ConservationQuestion	ConservationTest				tools/lean/Semantics/Semantics/ConservationTest.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1508	ConservationTest_ConservationResult	ConservationTest				tools/lean/Semantics/Semantics/ConservationTest.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1509	ConservationTest_conservationQuizBank	ConservationTest				tools/lean/Semantics/Semantics/ConservationTest.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1510	ConservationTest_runConservationQuiz	ConservationTest				tools/lean/Semantics/Semantics/ConservationTest.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1511	ConservationTest_testTokenConservation	ConservationTest				tools/lean/Semantics/Semantics/ConservationTest.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1512	Constitution_no_motion_without_lawful_path	Constitution				tools/lean/Semantics/Semantics/Constitution.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1513	CooperativeLUT_wavefrontOp1D	CooperativeLUT				tools/lean/Semantics/Semantics/CooperativeLUT.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1514	CooperativeLUT_drakeConstant	CooperativeLUT				tools/lean/Semantics/Semantics/CooperativeLUT.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1515	CooperativeLUT_wavedArray	CooperativeLUT				tools/lean/Semantics/Semantics/CooperativeLUT.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1516	CooperativeLUT_wavefrontPreservesSize	CooperativeLUT				tools/lean/Semantics/Semantics/CooperativeLUT.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1517	CooperativeLUT_wavefrontPreservesManifold	CooperativeLUT				tools/lean/Semantics/Semantics/CooperativeLUT.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1518	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1519	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1520	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1521	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1522	AVMRInformation_shellEntropy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1523	AVMRInformation_shellEntropyBound	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1524	AVMRInformation_degeneracy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1525	AVMRInformation_totalCodons	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1526	AVMRInformation_avgDegeneracyCloseToE	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1527	AVMRProofs_3	AVMRProofs				tools/lean/Semantics/Semantics/AVMRProofs.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1528	AVMRTheorems_proves	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1529	AVMRTheorems_tipCoordinateMassResonance	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1530	AVMRTheorems_fortyFiveLineFactorRevelation	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1531	AVMRTheorems_pronicFactorization	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1532	AVMRTheorems_fortyFiveLineIsGC	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1533	AVMRTheorems_missingLinkODE	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1534	AVMRTheorems_gradientFlowForm	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1535	AgenticHardware_AgentFrustrationWave	AgenticHardware				tools/lean/Semantics/Semantics/AgenticHardware.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1536	AgenticTheorems_assignmentRespectsCapabilities	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1537	AgenticTheorems_dependenciesRespected	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1538	AgenticTheorems_orchestrationTermination	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1539	AgenticTheorems_synergyImprovesPerformance	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1540	AgenticTheorems_agentFieldBounded	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1541	AgenticTheorems_loadPenaltyDecreasesField	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1542	AtomicResolution_compressionContractsAtomicResolution	AtomicResolution				tools/lean/Semantics/Semantics/AtomicResolution.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1543	Atoms_DiscreteSemanticState	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1544	Atoms_SemanticFrustrationWave	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1545	Atoms_updateSemanticStateFromGeometry	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1546	Atoms_updateSemanticStateFromChristoffel	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1547	Basic_BasicFrustrationWave	Basic				tools/lean/Semantics/Semantics/Basic.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1548	Bind_informationalBind	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1549	Bind_informationalBind_preservesLeft	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1550	Bind_informationalBind_preservesRight	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1551	Bind_InformationTheoreticConstraints	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1552	Bind_InformationTheoreticConstraints	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1553	BitcoinMetaprobe_filterBatch	BitcoinMetaprobe				tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1554	BitcoinRGFlow_bitcoinInformationalBind	BitcoinRGFlow				tools/lean/Semantics/Semantics/BitcoinRGFlow.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1555	BracketedCalculus_encode	BracketedCalculus				tools/lean/Semantics/Semantics/BracketedCalculus.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1556	CBFHardwareMetaprobe_clockFrequency	CBFHardwareMetaprobe				tools/lean/Semantics/Semantics/CBFHardwareMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1557	CanonSerialization_encodeU16BE	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1558	CanonSerialization_encodeU32BE	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1559	CanonSerialization_encodeU64BE	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1560	CanonSerialization_encodeNatBE	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1561	CanonSerialization_encodeText	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1562	CanonSerialization_FilteredField	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1563	CanonSerialization_FilterResult	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1564	CanonSerialization_FilterRule	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1565	CanonSerialization_applyFilters	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1566	CanonSerialization_filter_safe_no_adversarial_kept	CanonSerialization				tools/lean/Semantics/Semantics/CanonSerialization.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1567	CasimirMetaprobe_plasmaFrequency	CasimirMetaprobe				tools/lean/Semantics/Semantics/CasimirMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1568	ClassicalEuclideanGeometry_ThalesTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1569	ClassicalEuclideanGeometry_pythagoreanTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1570	ClassicalEuclideanGeometry_powerOfPointTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1571	ClassicalEuclideanGeometry_chordTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1572	ClassicalEuclideanGeometry_secantTangentTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1573	ClassicalEuclideanGeometry_euclidSecondTheorem	ClassicalEuclideanGeometry				tools/lean/Semantics/Semantics/ClassicalEuclideanGeometry.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1574	CompressionControl_ControlState	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1575	CompressionControl_confidenceThreshold	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1576	CompressionControl_redThreshold	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1577	CompressionControl_blueThreshold	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1578	CompressionControl_updateConfidence	CompressionControl				tools/lean/Semantics/Semantics/CompressionControl.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1579	AdaptiveFabric_CMYKState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1580	AdaptiveFabric_FabricState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1581	AdaptiveFabric_FabricConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1582	AdaptiveFabric_step	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1583	AdaptiveFabric_state_determined_by_sluq	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1584	AdaptiveFabric_testConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1585	AdaptiveFabric_initialState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1586	Bind_controlBind	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1587	BoundaryDynamics_reconnectionPotentialOf	BoundaryDynamics				tools/lean/Semantics/Semantics/BoundaryDynamics.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1588	BoundaryDynamics_explicitAliasDetected	BoundaryDynamics				tools/lean/Semantics/Semantics/BoundaryDynamics.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1589	BoundaryDynamics_boundarySignatureOf	BoundaryDynamics				tools/lean/Semantics/Semantics/BoundaryDynamics.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1590	BoundaryDynamics_classifyReconnectionMode	BoundaryDynamics				tools/lean/Semantics/Semantics/BoundaryDynamics.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1591	BoundaryDynamics_classifyBoundaryStability	BoundaryDynamics				tools/lean/Semantics/Semantics/BoundaryDynamics.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1592	BoundaryDynamics_classifyBoundaryFluidity	BoundaryDynamics				tools/lean/Semantics/Semantics/BoundaryDynamics.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1593	BoundaryDynamics_effectivePermeability	BoundaryDynamics				tools/lean/Semantics/Semantics/BoundaryDynamics.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1594	BoundaryDynamics_classifyBoundaryRegime	BoundaryDynamics				tools/lean/Semantics/Semantics/BoundaryDynamics.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1595	BoundaryDynamics_classifyIntersectionFlow	BoundaryDynamics				tools/lean/Semantics/Semantics/BoundaryDynamics.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1596	BoundaryDynamics_resolveBoundaryTransition	BoundaryDynamics				tools/lean/Semantics/Semantics/BoundaryDynamics.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1597	BracketShellCount_ShellSystem	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1598	BracketShellCount_computeSystemBracket	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1599	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1600	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1601	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1602	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1603	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1604	AMMR_ammrStateFromTorsionalTile_usesTileInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1605	ASCIIArtCompetition_evaluateStyleClassification	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1606	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1607	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1608	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1609	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1610	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1611	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1612	ASICTopology_rtl8126Topology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1613	ASICTopology_findNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1614	ASICTopology_findEdgesFrom	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1615	ASICTopology_geodesicDistance	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1616	AVMR_vectorField	AVMR				tools/lean/Semantics/Semantics/AVMR.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1617	AVMRFrameworkMetaprobe_potentialDerivative	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1618	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1619	AVMRInformation_shellEntropy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1620	AVMRInformation_shellEntropyBound	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1621	AVMRInformation_degeneracy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1622	AVMRInformation_totalCodons	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1623	AVMRInformation_avgDegeneracyCloseToE	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1624	AVMRProofs_3	AVMRProofs				tools/lean/Semantics/Semantics/AVMRProofs.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1625	AVMRTheorems_proves	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1626	AVMRTheorems_tipCoordinateMassResonance	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1627	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1628	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1629	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1630	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1631	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1632	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1633	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1634	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1635	AMMR_ammrStateFromTorsionalTile_usesTileInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1636	ASCIIArtCompetition_evaluateStyleClassification	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1637	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1638	ASICTopology_checkOperationAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1639	ASICTopology_checkWorkloadAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1640	ASICTopology_asicOptimizedChecksum	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1641	ASICTopology_performASICOptimizedOperation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1642	ASICTopology_asicOperationCost	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1643	ASICTopology_checkOperationAdmissibility_deterministic	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1644	AVMR_vectorField	AVMR				tools/lean/Semantics/Semantics/AVMR.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1645	AVMRFrameworkMetaprobe_normalizedCoordinate	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1646	AVMRFrameworkMetaprobe_potentialDerivative	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1647	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1648	Adaptation_FlowAudit	Adaptation				tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1649	Adaptation_flowAuditLoop	Adaptation				tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1650	Adaptation_flowAudit	Adaptation				tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1651	AgenticHardware_AgentFrustrationWave	AgenticHardware				tools/lean/Semantics/Semantics/AgenticHardware.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1652	AgenticOrchestrationField_AgentFieldParams	AgenticOrchestrationField				tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1653	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1654	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1655	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1656	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1657	AMMR_ammrStateFromTorsionalTile_usesTileInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1658	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1659	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1660	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1661	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1662	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1663	ASICTopology_rtl8126Topology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1664	ASICTopology_findNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1665	ASICTopology_findEdgesFrom	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1666	ASICTopology_geodesicDistance	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1667	ASICTopology_asicInputInvariant	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1668	ASICTopology_asicOutputInvariant	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1669	AVMR_vectorField	AVMR				tools/lean/Semantics/Semantics/AVMR.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1670	AVMRFrameworkMetaprobe_normalizedCoordinate	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1671	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1672	AVMRProofs_3	AVMRProofs				tools/lean/Semantics/Semantics/AVMRProofs.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1673	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1674	AgenticHardware_AgentFrustrationWave	AgenticHardware				tools/lean/Semantics/Semantics/AgenticHardware.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1675	Atoms_SemanticFrustrationWave	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1676	Basic_BasicFrustrationWave	Basic				tools/lean/Semantics/Semantics/Basic.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1677	BitcoinMetaprobe_filterBatch	BitcoinMetaprobe				tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1678	BraidBracket_PhaseVec	BraidBracket				tools/lean/Semantics/Semantics/BraidBracket.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1679	BraidBracket_fromPhaseVec	BraidBracket				tools/lean/Semantics/Semantics/BraidBracket.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1680	BraidBracket_phaseAccumulation	BraidBracket				tools/lean/Semantics/Semantics/BraidBracket.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1681	BraidStrand_phaseAngle	BraidStrand				tools/lean/Semantics/Semantics/BraidStrand.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1682	CBFHardwareMetaprobe_clockFrequency	CBFHardwareMetaprobe				tools/lean/Semantics/Semantics/CBFHardwareMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1683	AMMR_WitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1684	AMMR_defaultWitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1685	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1686	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1687	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1688	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1689	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1690	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1691	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1692	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1693	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1694	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1695	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1696	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1697	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1698	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1699	AMMR_ammrStateFromTorsionalTile_usesTileInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1700	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1701	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1702	ASICTopology_checkOperationAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1703	ASICTopology_performASICOptimizedOperation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1704	ASICTopology_asicOperationCost	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1705	ASICTopology_checkOperationAdmissibility_deterministic	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1706	AVMRFrameworkMetaprobe_potentialDerivative	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1707	AVMRProofs_3	AVMRProofs				tools/lean/Semantics/Semantics/AVMRProofs.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1708	AVMRTheorems_proves	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1709	AVMRTheorems_tipCoordinateMassResonance	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1710	AVMRTheorems_fortyFiveLineFactorRevelation	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1711	AdaptiveFabric_CMYKState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1712	AdaptiveFabric_FabricState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1713	AdaptiveFabric_FabricConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1714	AdaptiveFabric_step	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1715	AdaptiveFabric_state_determined_by_sluq	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1716	AMMR_WitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1717	AMMR_defaultWitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1718	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1719	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1720	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1721	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1722	AMMR_verdictAllowsRoute	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1723	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1724	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1725	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1726	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1727	AMMR_ammrStateFromTorsionalTile_usesTileInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1728	ASCIIArtCompetition_evaluateStyleClassification	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1729	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1730	ASCIIGen_asciiArtDatabase	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1731	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1732	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1733	ASCIIGen_ASCIIDataAccumulator	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1734	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1735	ASICTopology_checkOperationAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1736	ASICTopology_performASICOptimizedOperation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1737	ASICTopology_asicOperationCost	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1738	AVMR_vectorField	AVMR				tools/lean/Semantics/Semantics/AVMR.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1739	AVMRFrameworkMetaprobe_normalizedCoordinate	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1740	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1741	AVMRInformation_shellEntropy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1742	AVMRInformation_shellEntropyBound	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1743	AVMRInformation_degeneracy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1744	AVMRInformation_totalCodons	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1745	AVMRInformation_avgDegeneracyCloseToE	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1746	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1747	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1748	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1749	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1750	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1751	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1752	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1753	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1754	AMMR_ammrStateFromTorsionalTile_usesTileInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1755	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1756	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1757	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1758	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1759	ASICTopology_rtl8126Topology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1760	ASICTopology_findNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1761	ASICTopology_findEdgesFrom	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1762	ASICTopology_geodesicDistance	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1763	ASICTopology_ASICOptimalPath	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1764	AVMRFrameworkMetaprobe_potentialDerivative	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1765	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1766	AVMRTheorems_gradientFlowForm	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1767	Adaptation_FlowAudit	Adaptation				tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1768	Adaptation_flowAuditLoop	Adaptation				tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1769	Adaptation_flowAudit	Adaptation				tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1770	AdaptiveFabric_CMYKState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1771	AdaptiveFabric_FabricState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1772	AdaptiveFabric_FabricConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1773	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1774	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1775	AVMRProofs_3	AVMRProofs				tools/lean/Semantics/Semantics/AVMRProofs.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1776	AVMRTheorems_proves	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1777	AVMRTheorems_tipCoordinateMassResonance	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1778	AVMRTheorems_fortyFiveLineFactorRevelation	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1779	AVMRTheorems_pronicFactorization	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1780	AVMRTheorems_fortyFiveLineIsGC	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1781	AVMRTheorems_missingLinkODE	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1782	AVMRTheorems_gradientFlowForm	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1783	AgenticTheorems_assignmentRespectsCapabilities	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1784	AgenticTheorems_dependenciesRespected	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1785	AngrySphinxPolicy_enforceAngrySphinxGate	AngrySphinxPolicy				tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1786	Bind_physicalBind	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1787	BracketShellCount_ShellSystem	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1788	BracketShellCount_computeSystemBracket	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1789	BracketShellCount_nuclearShellSystem	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1790	BracketShellCount_systemAdmissibleIff	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1791	CasimirMetaprobe_parallelPlateForcePerArea	CasimirMetaprobe				tools/lean/Semantics/Semantics/CasimirMetaprobe.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1792	CasimirMetaprobe_thermalCasimirForce	CasimirMetaprobe				tools/lean/Semantics/Semantics/CasimirMetaprobe.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1793	ASICTopology_Workload	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1794	ASICTopology_checkWorkloadAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1795	ASICTopology_projectWorkloadToTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1796	AVMRFrameworkMetaprobe_boltzmannK	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1797	AVMRFrameworkMetaprobe_temperature	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1798	AVMRFrameworkMetaprobe_massProduct	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1799	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1800	AdaptiveFabric_CMYKState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1801	AdaptiveFabric_FabricState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1802	AdaptiveFabric_FabricConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1803	AdaptiveFabric_step	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1804	AdaptiveFabric_state_determined_by_sluq	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1805	AdaptiveFabric_testConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1806	AgenticHardware_AgentFrustrationWave	AgenticHardware				tools/lean/Semantics/Semantics/AgenticHardware.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1807	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1808	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1809	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1810	AMMR_verdictAllowsRoute	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1811	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1812	ASCIIGen_asciiArtDatabase	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1813	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1814	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1815	ASCIIGen_ASCIIDataAccumulator	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1816	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1817	ASICTopology_checkOperationAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1818	ASICTopology_performASICOptimizedOperation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1819	ASICTopology_asicOperationCost	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1820	ASICTopology_checkOperationAdmissibility_deterministic	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1821	AVMR_vectorField	AVMR				tools/lean/Semantics/Semantics/AVMR.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1822	AVMRFrameworkMetaprobe_normalizedCoordinate	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1823	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1824	AVMRInformation_shellEntropy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1825	AVMRInformation_shellEntropyBound	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1826	AVMRInformation_degeneracy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1827	AVMRInformation_totalCodons	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1828	AVMRInformation_avgDegeneracyCloseToE	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1829	AgenticHardware_AgentFrustrationWave	AgenticHardware				tools/lean/Semantics/Semantics/AgenticHardware.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1830	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1831	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1832	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1833	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1834	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1835	AMMR_ammrStateFromTorsionalTile_usesTileInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1836	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
1837	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
1838	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
1839	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
1840	ASICTopology_rtl8126Topology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
1841	ASICTopology_findNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
1842	AMMR_WitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1843	AMMR_defaultWitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1844	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1845	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1846	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1847	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1848	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1849	ASICTopology_Workload	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1850	ASICTopology_projectWorkloadToTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1851	AVMRFrameworkMetaprobe_boltzmannK	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1852	AVMRFrameworkMetaprobe_temperature	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1853	AVMRFrameworkMetaprobe_massProduct	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1854	AVMRFrameworkMetaprobe_massProductQ16	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1855	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1856	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1857	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1858	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1859	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1860	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1861	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1862	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1863	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1864	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1865	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1866	ASICTopology_rtl8126Topology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1867	ASICTopology_findNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1868	ASICTopology_findEdgesFrom	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1869	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1870	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1871	AgenticHardware_AgentFrustrationWave	AgenticHardware				tools/lean/Semantics/Semantics/AgenticHardware.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1872	AngrySphinxPolicy_enforceAngrySphinxGate	AngrySphinxPolicy				tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1873	Atoms_SemanticFrustrationWave	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1874	Basic_BasicFrustrationWave	Basic				tools/lean/Semantics/Semantics/Basic.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1875	Bind_physicalBind	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1876	BitcoinMetaprobe_filterBatch	BitcoinMetaprobe				tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1877	BracketShellCount_ShellSystem	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1878	BracketShellCount_computeSystemBracket	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1879	BracketShellCount_nuclearShellSystem	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1880	BracketShellCount_systemAdmissibleIff	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1881	BraidBracket_PhaseVec	BraidBracket				tools/lean/Semantics/Semantics/BraidBracket.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1882	BraidBracket_fromPhaseVec	BraidBracket				tools/lean/Semantics/Semantics/BraidBracket.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1883	BraidBracket_phaseAccumulation	BraidBracket				tools/lean/Semantics/Semantics/BraidBracket.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1884	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1885	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1886	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1887	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1888	AMMR_verdictAllowsRoute	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1889	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1890	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1891	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1892	AMMR_ammrStateFromTorsionalTile_usesTileInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1893	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1894	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1895	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
1896	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
1897	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
1898	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
1899	ASICTopology_rtl8126Topology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
1900	AMMR_WitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1901	AMMR_defaultWitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1902	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1903	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1904	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1905	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1906	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1907	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1908	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1909	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1910	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1911	ASICTopology_performASICOptimizedOperation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1912	ASICTopology_asicOperationCost	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1913	AVMR_vectorField	AVMR				tools/lean/Semantics/Semantics/AVMR.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1914	AVMRFrameworkMetaprobe_normalizedCoordinate	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1915	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1916	AVMRInformation_shellEntropy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1917	AVMRInformation_shellEntropyBound	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1918	AVMRInformation_degeneracy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1919	AVMRInformation_totalCodons	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1920	AdaptiveFabric_CMYKState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1921	AdaptiveFabric_FabricState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1922	AdaptiveFabric_FabricConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1923	AdaptiveFabric_step	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1924	AdaptiveFabric_state_determined_by_sluq	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1925	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1926	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1927	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1928	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1929	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1930	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1931	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1932	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1933	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1934	ASICTopology_Workload	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1935	ASICTopology_checkWorkloadAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1936	ASICTopology_projectWorkloadToTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1937	AVMRFrameworkMetaprobe_boltzmannK	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1938	AVMRProofs_3	AVMRProofs				tools/lean/Semantics/Semantics/AVMRProofs.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1939	AVMRTheorems_proves	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1940	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1941	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1942	AdaptiveFabric_CMYKState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1943	AdaptiveFabric_FabricState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1944	AdaptiveFabric_FabricConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1945	AdaptiveFabric_step	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1946	AgenticHardware_AgentFrustrationWave	AgenticHardware				tools/lean/Semantics/Semantics/AgenticHardware.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1947	AngrySphinxPolicy_enforceAngrySphinxGate	AngrySphinxPolicy				tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1948	Atoms_SemanticFrustrationWave	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1949	Basic_BasicFrustrationWave	Basic				tools/lean/Semantics/Semantics/Basic.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1950	Bind_physicalBind	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1951	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1952	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1953	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1954	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1955	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1956	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1957	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1958	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
1959	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
1960	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
1961	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
1962	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
1963	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
1964	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1965	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1966	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1967	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1968	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
1969	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1970	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1971	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
1972	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1973	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
1974	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1975	ASICTopology_Workload	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1976	ASICTopology_checkOperationAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1977	ASICTopology_checkWorkloadAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1978	ASICTopology_projectWorkloadToTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1979	ASICTopology_performASICOptimizedOperation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1980	ASICTopology_asicOperationCost	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
1981	AVMRFrameworkMetaprobe_boltzmannK	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
1982	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1983	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1984	AdaptiveFabric_CMYKState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1985	AdaptiveFabric_FabricState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1986	AdaptiveFabric_FabricConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
1987	AgenticHardware_AgentFrustrationWave	AgenticHardware				tools/lean/Semantics/Semantics/AgenticHardware.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1988	AngrySphinxPolicy_enforceAngrySphinxGate	AngrySphinxPolicy				tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1989	Atoms_SemanticFrustrationWave	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
1990	Bind_physicalBind	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
1991	AMMR_WitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1992	AMMR_defaultWitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1993	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1994	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1995	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1996	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1997	AMMR_verdictAllowsRoute	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
1998	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
1999	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2000	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2001	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2002	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2003	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2004	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2005	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2006	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2007	ASICTopology_checkOperationAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2008	ASICTopology_performASICOptimizedOperation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2009	ASICTopology_asicOperationCost	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2010	AVMRProofs_3	AVMRProofs				tools/lean/Semantics/Semantics/AVMRProofs.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2011	AVMRTheorems_proves	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2012	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2013	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2014	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2015	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2016	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2017	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2018	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2019	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2020	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2021	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2022	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2023	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2024	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2025	ASICTopology_Workload	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2026	ASICTopology_checkWorkloadAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2027	ASICTopology_projectWorkloadToTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2028	AMMR_WitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2029	AMMR_defaultWitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2030	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2031	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2032	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2033	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2034	AMMR_verdictAllowsRoute	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2035	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2036	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2037	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2038	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2039	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2040	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2041	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2042	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2043	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2044	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2045	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2046	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2047	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2048	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2049	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2050	ASICTopology_rtl8126Topology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2051	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2052	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2053	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2054	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2055	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2056	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2057	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2058	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2059	AMMR_ammrStateFromTorsionalTile_usesTileInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2060	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2061	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2062	ASICTopology_Workload	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2063	ASICTopology_checkOperationAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2064	ASICTopology_checkWorkloadAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2065	ASICTopology_projectWorkloadToTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2066	ASICTopology_performASICOptimizedOperation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2067	ASICTopology_asicOperationCost	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2068	ASICTopology_checkOperationAdmissibility_deterministic	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2069	AVMRFrameworkMetaprobe_boltzmannK	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2070	AVMRFrameworkMetaprobe_temperature	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2071	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2072	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2073	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2074	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2075	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2076	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2077	AVMRInformation_shellEntropy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2078	AVMRInformation_shellEntropyBound	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2079	AVMRInformation_degeneracy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2080	AVMRInformation_totalCodons	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2081	AVMRInformation_avgDegeneracyCloseToE	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2082	AVMRProofs_3	AVMRProofs				tools/lean/Semantics/Semantics/AVMRProofs.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2083	AVMRTheorems_proves	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2084	AVMRTheorems_tipCoordinateMassResonance	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2085	AVMRTheorems_fortyFiveLineFactorRevelation	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2086	AVMRTheorems_pronicFactorization	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2087	AVMRTheorems_fortyFiveLineIsGC	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2088	AdaptiveFabric_CMYKState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2089	AdaptiveFabric_FabricState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2090	AdaptiveFabric_FabricConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2091	AdaptiveFabric_step	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2092	AdaptiveFabric_state_determined_by_sluq	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2093	AdaptiveFabric_testConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2094	AdaptiveFabric_initialState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2096	AngrySphinxPolicy_enforceAngrySphinxGate	AngrySphinxPolicy				tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2097	AMMR_WitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2098	AMMR_defaultWitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2099	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2100	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2101	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2102	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2103	AMMR_verdictAllowsRoute	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2104	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2105	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2106	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2107	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2108	AMMR_ammrStateFromTorsionalTile_usesTileInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2109	ASCIIGen_asciiArtDatabase	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2110	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2111	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2112	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2113	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2114	ASICTopology_rtl8126Topology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2115	ASICTopology_findNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2116	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2117	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2118	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2119	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2120	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2121	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2122	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2123	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2124	AMMR_ammrStateFromTorsionalTile_usesTileInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2125	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2126	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2127	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2128	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2129	ASICTopology_rtl8126Topology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2130	ASICTopology_findNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2131	ASICTopology_findEdgesFrom	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2132	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2133	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2135	ASICTopology_checkOperationAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2138	ASICTopology_performASICOptimizedOperation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2139	ASICTopology_asicOperationCost	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2140	ASICTopology_checkOperationAdmissibility_deterministic	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2141	AVMR_vectorField	AVMR				tools/lean/Semantics/Semantics/AVMR.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2142	AVMRFrameworkMetaprobe_boltzmannK	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2143	AVMRFrameworkMetaprobe_temperature	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2144	AVMRFrameworkMetaprobe_massProduct	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2145	AVMRFrameworkMetaprobe_massProductQ16	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2146	AVMRFrameworkMetaprobe_widthConstraint	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2147	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2148	AdaptiveFabric_CMYKState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2149	AdaptiveFabric_FabricState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2150	AdaptiveFabric_FabricConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2151	AdaptiveFabric_step	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2152	AdaptiveFabric_state_determined_by_sluq	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2153	AdaptiveFabric_testConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2154	AdaptiveFabric_initialState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2156	AgenticOrchestrationField_AgentFieldParams	AgenticOrchestrationField				tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2157	AgenticOrchestrationField_CoordinationParams	AgenticOrchestrationField				tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2158	AMMR_WitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2159	AMMR_defaultWitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2160	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2161	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2162	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2163	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2164	AMMR_verdictAllowsRoute	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2165	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2166	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2167	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2168	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2169	AMMR_ammrStateFromTorsionalTile_usesTileInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2170	ASCIIArtCompetition_evaluateStyleClassification	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2171	ASCIIGen_asciiArtDatabase	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2172	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2173	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2174	ASCIIGen_ASCIIDataAccumulator	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2175	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2176	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2177	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2178	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2179	ASICTopology_rtl8126Topology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2180	ASICTopology_findNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2181	ASICTopology_findEdgesFrom	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2182	ASICTopology_geodesicDistance	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2183	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2184	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2185	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2186	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2187	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2188	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2189	AVMRFrameworkMetaprobe_potentialDerivative	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2190	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2191	AVMRProofs_3	AVMRProofs				tools/lean/Semantics/Semantics/AVMRProofs.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2192	AVMRTheorems_proves	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2193	AVMRTheorems_tipCoordinateMassResonance	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2194	AVMRTheorems_fortyFiveLineFactorRevelation	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2195	AVMRTheorems_pronicFactorization	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2196	AVMRTheorems_fortyFiveLineIsGC	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2197	AVMRTheorems_missingLinkODE	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2198	AVMRTheorems_gradientFlowForm	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2199	Adaptation_FlowAudit	Adaptation				tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2200	Adaptation_flowAuditLoop	Adaptation				tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2201	Adaptation_flowAudit	Adaptation				tools/lean/Semantics/Semantics/Adaptation.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2203	AgenticTheorems_assignmentRespectsCapabilities	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2204	AgenticTheorems_dependenciesRespected	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2205	AngrySphinxPolicy_enforceAngrySphinxGate	AngrySphinxPolicy				tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2209	BitcoinMetaprobe_filterBatch	BitcoinMetaprobe				tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2210	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2211	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2212	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2213	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2214	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2215	AMMR_ammrStateFromTorsionalTile_usesTileInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2216	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2217	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2218	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2219	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2220	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2221	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2222	ASICTopology_rtl8126Topology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2223	ASICTopology_findNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2224	ASICTopology_findEdgesFrom	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2225	AVMR_vectorField	AVMR				tools/lean/Semantics/Semantics/AVMR.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2226	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2227	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2228	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2229	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2231	ASICTopology_checkOperationAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2234	ASICTopology_performASICOptimizedOperation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2235	ASICTopology_asicOperationCost	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2236	ASICTopology_checkOperationAdmissibility_deterministic	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2237	AVMR_vectorField	AVMR				tools/lean/Semantics/Semantics/AVMR.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2238	AVMRFrameworkMetaprobe_boltzmannK	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2239	AVMRFrameworkMetaprobe_temperature	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2240	AVMRFrameworkMetaprobe_massProduct	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2241	AVMRFrameworkMetaprobe_massProductQ16	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2242	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2243	AVMRInformation_degeneracy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2244	AVMRInformation_totalCodons	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2245	AVMRInformation_avgDegeneracyCloseToE	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2246	AdaptiveFabric_CMYKState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2247	AdaptiveFabric_FabricState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2248	AdaptiveFabric_FabricConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2249	AdaptiveFabric_step	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2250	AdaptiveFabric_state_determined_by_sluq	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2251	AdaptiveFabric_testConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2252	AdaptiveFabric_initialState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2253	AMMR_WitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2254	AMMR_defaultWitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2255	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2256	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2257	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2258	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2259	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2260	AMMR_ammrStateFromTorsionalTile_usesTileInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2261	ASCIIArtCompetition_evaluateStyleClassification	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2262	ASICTopology_checkOperationAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2263	ASICTopology_checkWorkloadAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2264	ASICTopology_asicOptimizedChecksum	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2265	ASICTopology_asicInputInvariant	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2266	ASICTopology_asicOutputInvariant	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2267	ASICTopology_checkOperationAdmissibility_deterministic	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2268	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2269	AVMRProofs_3	AVMRProofs				tools/lean/Semantics/Semantics/AVMRProofs.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2270	AVMRTheorems_proves	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2271	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2272	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2273	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2274	AMMR_verdictAllowsRoute	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2275	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2276	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2277	ASCIIGen_asciiArtDatabase	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2278	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2279	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2280	ASCIIGen_ASCIIDataAccumulator	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2281	ASCIIGen_emptyASCIIDataAccumulator	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2282	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2283	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2284	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2285	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2286	ASICTopology_rtl8126Topology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2287	ASICTopology_findNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2288	ASICTopology_findEdgesFrom	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2289	ASICTopology_geodesicDistance	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2290	ASICTopology_Workload	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2291	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2292	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2293	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2294	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2295	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2298	AVMRInformation_degeneracy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2299	AVMRInformation_totalCodons	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2300	AVMRInformation_avgDegeneracyCloseToE	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2301	AVMRProofs_3	AVMRProofs				tools/lean/Semantics/Semantics/AVMRProofs.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2302	AVMRTheorems_proves	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2303	AVMRTheorems_tipCoordinateMassResonance	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2304	AVMRTheorems_fortyFiveLineFactorRevelation	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2305	AVMRTheorems_pronicFactorization	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2306	AVMRTheorems_fortyFiveLineIsGC	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2307	AVMRTheorems_missingLinkODE	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2308	AVMRTheorems_gradientFlowForm	AVMRTheorems				tools/lean/Semantics/Semantics/AVMRTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2309	AdaptiveFabric_CMYKState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2310	AdaptiveFabric_FabricState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2311	AdaptiveFabric_FabricConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2312	AdaptiveFabric_step	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2313	AdaptiveFabric_state_determined_by_sluq	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2314	AdaptiveFabric_testConfig	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2315	AdaptiveFabric_initialState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2317	AgenticTheorems_assignmentRespectsCapabilities	AgenticTheorems				tools/lean/Semantics/Semantics/AgenticTheorems.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2318	AngrySphinxPolicy_enforceAngrySphinxGate	AngrySphinxPolicy				tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2319	AtomicResolution_compressionContractsAtomicResolution	AtomicResolution				tools/lean/Semantics/Semantics/AtomicResolution.lean	Lean	✅		LAYER_A_COMPRESSION	informational_bind
2322	Bind_informationalBind	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2324	Bind_controlBind	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2325	Bind_informationalBind_preservesLeft	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2326	Bind_informationalBind_preservesRight	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2327	Bind_InformationTheoreticConstraints	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2328	Bind_InformationTheoreticConstraints	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2329	BitcoinMetaprobe_filterBatch	BitcoinMetaprobe				tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2330	BoundaryDynamics_reconnectionPotentialOf	BoundaryDynamics				tools/lean/Semantics/Semantics/BoundaryDynamics.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2331	BoundaryDynamics_explicitAliasDetected	BoundaryDynamics				tools/lean/Semantics/Semantics/BoundaryDynamics.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2332	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2333	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2334	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2335	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2336	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2337	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2338	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2339	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2340	ASICTopology_ASICTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2341	ASICTopology_rtl8126Topology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2342	ASICTopology_findNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2343	ASICTopology_findEdgesFrom	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2344	ASICTopology_geodesicDistance	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2345	AVMR_vectorField	AVMR				tools/lean/Semantics/Semantics/AVMR.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2346	AVMRFrameworkMetaprobe_boltzmannK	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2347	AVMRFrameworkMetaprobe_temperature	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2348	AVMRFrameworkMetaprobe_massProduct	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2349	AVMRFrameworkMetaprobe_massProductQ16	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2350	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2351	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2352	ASICTopology_checkOperationAdmissibility	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2353	ASICTopology_performASICOptimizedOperation	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2354	ASICTopology_asicOperationCost	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2355	ASICTopology_checkOperationAdmissibility_deterministic	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2356	AVMR_vectorField	AVMR				tools/lean/Semantics/Semantics/AVMR.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2357	AVMRFrameworkMetaprobe_normalizedCoordinate	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2358	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2361	AgenticHardware_AgentFrustrationWave	AgenticHardware				tools/lean/Semantics/Semantics/AgenticHardware.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2362	AgenticOrchestrationField_AgentFieldParams	AgenticOrchestrationField				tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2363	AgenticOrchestrationField_CoordinationParams	AgenticOrchestrationField				tools/lean/Semantics/Semantics/AgenticOrchestrationField.lean	Lean	✅		LAYER_H_ALGEBRA	algebraic_bind
2364	AngrySphinxPolicy_enforceAngrySphinxGate	AngrySphinxPolicy				tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2365	AtomicResolution_compressionContractsAtomicResolution	AtomicResolution				tools/lean/Semantics/Semantics/AtomicResolution.lean	Lean	✅		LAYER_A_COMPRESSION	informational_bind
2366	Atoms_SemanticFrustrationWave	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2367	Basic_BasicFrustrationWave	Basic				tools/lean/Semantics/Semantics/Basic.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2368	Bind_physicalBind	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2369	BitcoinMetaprobe_filterBatch	BitcoinMetaprobe				tools/lean/Semantics/Semantics/BitcoinMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2370	BracketShellCount_ShellSystem	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2371	BracketShellCount_computeSystemBracket	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2372	BracketShellCount_nuclearShellSystem	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2373	BracketShellCount_systemAdmissibleIff	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2374	BracketedCalculus_encode	BracketedCalculus				tools/lean/Semantics/Semantics/BracketedCalculus.lean	Lean	✅		LAYER_A_COMPRESSION	informational_bind
2375	BraidBracket_PhaseVec	BraidBracket				tools/lean/Semantics/Semantics/BraidBracket.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2376	BraidBracket_fromPhaseVec	BraidBracket				tools/lean/Semantics/Semantics/BraidBracket.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2377	BraidBracket_phaseAccumulation	BraidBracket				tools/lean/Semantics/Semantics/BraidBracket.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2378	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2379	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2380	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2381	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2382	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2383	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2384	AMMR_rgflowStrip_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2385	AMMR_quaternionReductionUpdate_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2386	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2387	AgenticHardware_AgentFrustrationWave	AgenticHardware				tools/lean/Semantics/Semantics/AgenticHardware.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2388	AngrySphinxPolicy_enforceAngrySphinxGate	AngrySphinxPolicy				tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2389	Atoms_SemanticFrustrationWave	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2390	Basic_BasicFrustrationWave	Basic				tools/lean/Semantics/Semantics/Basic.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2391	Bind_physicalBind	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2392	AMMR_WitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2393	AMMR_defaultWitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2394	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2395	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2396	ASICTopology_Workload	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2397	ASICTopology_projectWorkloadToTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2398	AVMRFrameworkMetaprobe_boltzmannK	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2399	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2400	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2401	AMMR_rgflowStripLawful	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_B_ROUTING	informational_bind
2402	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2403	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2404	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2405	ASICTopology_ASICTopologyEdge	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_BRAID	geometric_bind
2406	AMMR_quaternionMotion	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2407	AVMRFrameworkMetaprobe_spectralWeight	AVMRFrameworkMetaprobe				tools/lean/Semantics/Semantics/AVMRFrameworkMetaprobe.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2408	AVMRInformation_shellEntropy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_A_COMPRESSION	informational_bind
2409	AVMRInformation_shellEntropyBound	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_A_COMPRESSION	informational_bind
2410	AgenticHardware_AgentFrustrationWave	AgenticHardware				tools/lean/Semantics/Semantics/AgenticHardware.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2411	AngrySphinxPolicy_enforceAngrySphinxGate	AngrySphinxPolicy				tools/lean/Semantics/Semantics/AngrySphinxPolicy.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2412	AtomicResolution_compressionContractsAtomicResolution	AtomicResolution				tools/lean/Semantics/Semantics/AtomicResolution.lean	Lean	✅		LAYER_A_COMPRESSION	informational_bind
2413	Atoms_SemanticFrustrationWave	Atoms				tools/lean/Semantics/Semantics/Atoms.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2414	Basic_BasicFrustrationWave	Basic				tools/lean/Semantics/Semantics/Basic.lean	Lean	✅		LAYER_K_SIGNAL	signal_bind
2415	Bind_physicalBind	Bind				tools/lean/Semantics/Semantics/Bind.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2416	BracketShellCount_ShellSystem	BracketShellCount				tools/lean/Semantics/Semantics/BracketShellCount.lean	Lean	✅		LAYER_L_APPLICATION	physical_bind
2417	AMMR_invariantOf	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2418	AMMR_rgflowStrip	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2419	AMMR_rgflowStripRetainedChannels	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_J_DYNAMICS	control_bind
2420	AMMR_projectK_preservesInvariant	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_D_INVARIANTS	state_bind
2421	ASICTopology_CapabilityVector	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2422	ASICTopology_ASICTopologyNode	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_C_TOPOLOGY	geometric_bind
2423	AMMR_WitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2424	AMMR_defaultWitnessRoot	AMMR				tools/lean/Semantics/Semantics/AMMR.lean	Lean	✅		LAYER_E_VERIFICATION	metric_bind
2425	ASCIIArtCompetition_evaluateSemanticSimilarity	ASCIIArtCompetition				tools/lean/Semantics/Semantics/ASCIIArtCompetition.lean	Lean	✅		LAYER_M_LEAN_SEMANTICS	logic_bind
2426	ASCIIGen_ASCIIEncodingData	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2427	ASCIIGen_analyzeASCIIEncoding	ASCIIGen				tools/lean/Semantics/Semantics/ASCIIGen.lean	Lean	✅		LAYER_I_ENCODING	informational_bind
2428	ASICTopology_Workload	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2429	ASICTopology_projectWorkloadToTopology	ASICTopology				tools/lean/Semantics/Semantics/ASICTopology.lean	Lean	✅		LAYER_G_ENERGY	thermodynamic_bind
2430	AVMRInformation_shellEntropy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_A_COMPRESSION	informational_bind
2431	AVMRInformation_shellEntropyBound	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_A_COMPRESSION	informational_bind
2432	AdaptiveFabric_CMYKState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2433	AdaptiveFabric_FabricState	AdaptiveFabric				tools/lean/Semantics/Semantics/AdaptiveFabric.lean	Lean	✅		LAYER_F_CONTROL	control_bind
2434	Bandyopadhyay_Cycle_StringStar	StringStar	I_total = I_bulk + I_horizon + I_vacuum	I_total=total information, I_bulk=kinetic matter, I_horizon=holographic surface, I_vacuum=ambient radiation	Unitary information conservation across three mutually exclusive phases	String-Star-Manifold/Rupayan52-String-Star-Manifold-153b359/docs/THEORY.md	Pending	✅	2437,2438,2439,2440,2441	LAYER_D_INVARIANTS	informational_bind
2435	Hawking_Temperature_StringStar	StringStar	T_H = ℏc³/(8πGMk_B)	T_H=Hawking temperature, ℏ=reduced Planck, c=speed of light, G=gravitational constant, M=mass, k_B=Boltzmann constant	Inverse relationship between mass and black hole temperature	String-Star-Manifold/Rupayan52-String-Star-Manifold-153b359/docs/THEORY.md	Pending	✅	2436	LAYER_G_ENERGY	thermodynamic_bind
2436	Bekenstein_Hawking_Entropy_StringStar	StringStar	S = A/4	S=entropy, A=surface area	Holographic principle: entropy proportional to horizon surface area	String-Star-Manifold/Rupayan52-String-Star-Manifold-153b359/docs/THEORY.md	Pending	✅	2436,2439	LAYER_G_ENERGY	thermodynamic_bind
2437	Schwarzschild_Radius_StringStar	StringStar	r_s = 2GM/c²	r_s=event horizon radius, G=gravitational constant, M=mass, c=speed of light	Event horizon radius for non-rotating black hole	String-Star-Manifold/Rupayan52-String-Star-Manifold-153b359/docs/THEORY.md	Pending	✅	2436,2440	LAYER_C_TOPOLOGY	geometric_bind
2438	Quadrupole_GW_Power_StringStar	StringStar	P = (32/5)(G⁴/c⁵)(m₁²m₂²(m₁+m₂))/r⁵	P=gravitational wave power, G=gravitational constant, c=speed of light, m₁,m₂=masses, r=separation	Orbital decay energy loss via gravitational radiation	String-Star-Manifold/Rupayan52-String-Star-Manifold-153b359/docs/THEORY.md	Pending	✅	2436	LAYER_H_ALGEBRA	physical_bind
2439	Relativistic_Gamma_StringStar	StringStar	γ = 1/√(1 - v²/c²)	γ=Lorentz factor, v=velocity, c=speed of light	Time dilation factor for relativistic velocities	String-Star-Manifold/Rupayan52-String-Star-Manifold-153b359/engine/v17_1_True_Omega.py	Pending	✅	2436	LAYER_H_ALGEBRA	physical_bind
2440	AVMRInformation_shellEntropy	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_A_COMPRESSION	informational_bind
2441	AVMRInformation_shellEntropyBound	AVMRInformation				tools/lean/Semantics/Semantics/AVMRInformation.lean	Lean	✅		LAYER_A_COMPRESSION	informational_bind
2442	Scale_Space_Gaussian_Smoothing	ScaleSpace	L(x,t) = G(x,t) * f(x), G(x,t) = (1/2πt)exp(-|x|²/2t)	L=scale-space representation, G=Gaussian kernel, f=input signal, t=scale parameter	Structures emerge at appropriate scales via Gaussian smoothing; foundational for scale-space theory	EQUATION_FOREST_INDEX.md	Pending	✅	2443,2444	LAYER_C_TOPOLOGY	geometric_bind
2443	Wavelet_Transform	ScaleSpace	W(a,b) = (1/√|a|)∫ f(x)ψ*((x-b)/a)dx	W=wavelet coefficient, a=scale, b=translation, ψ=mother wavelet	Localized frequency analysis; structure emerges from coherence and distributed frequency across scale	EQUATION_FOREST_INDEX.md	Pending	✅	2442,2445	LAYER_C_TOPOLOGY	geometric_bind
2444	Renormalization_Group	ScaleSpace	∂g/∂l = β(g)	g=coupling constant, l=logarithmic scale, β=beta function	Physical behaviors evolve consistently across scales; universality classes emerge from fixed points	EQUATION_FOREST_INDEX.md	Pending	✅	2442,2446	LAYER_D_INVARIANTS	physical_bind
2445	Fractal_Self_Similarity	ScaleSpace	f(λx) = λ^H f(x)	f=fractal function, λ=scale factor, H=Hurst exponent	Recursive patterns across scales; same structure at different magnifications	EQUATION_FOREST_INDEX.md	Pending	✅	2443,2446	LAYER_C_TOPOLOGY	geometric_bind
2446	Cellular_Automaton_Rule110	ScaleSpace	s_i(t+1) = f(s_{i-1}(t), s_i(t), s_{i+1}(t)) with Rule110 truth table	s=cell state, f=update rule, i=position, t=time	Minimal computational complexity producing rich emergent behavior from simple deterministic rules	EQUATION_FOREST_INDEX.md	Pending	✅	2445,2447	LAYER_H_ALGEBRA	control_bind
2447	Turing_Patterns	ScaleSpace	∂u/∂t = D_u∇²u + f(u,v), ∂v/∂t = D_v∇²v + g(u,v)	u,v=morphogen concentrations, D=diffusion coefficients, f,g=reaction kinetics	Spatial self-organization via diffusion-driven instability; resonant structures emerge from simple interactions	EQUATION_FOREST_INDEX.md	Pending	✅	2446,2448	LAYER_C_TOPOLOGY	geometric_bind
2448	Shannon_Entropy	ScaleSpace	H = -Σ p(x)log₂ p(x)	p=probability distribution, H=entropy in bits	Information content measurement; quantifies uncertainty and guides emergence of coherent patterns from chaos	EQUATION_FOREST_INDEX.md	Pending	✅	2449,2450	LAYER_A_COMPRESSION	informational_bind
2449	Negentropy	ScaleSpace	N = H_max - H	H_max=maximum entropy, H=actual entropy	Spontaneous formation of structured, meaningful states from initial randomness; negative entropy as order measure	EQUATION_FOREST_INDEX.md	Pending	✅	2448,2450	LAYER_A_COMPRESSION	informational_bind
2450	Phase_Transition	ScaleSpace	L = L₀ + A|t - t_c|^β, C = C₀ + B|t - t_c|^-α	L=order parameter, C=specific heat, t=temperature, t_c=critical point, α,β=critical exponents	Emergence thresholds marking dramatic shifts in complexity and coherence; critical phenomena at phase boundaries	EQUATION_FOREST_INDEX.md	Pending	✅	2448,2451	LAYER_G_ENERGY	thermodynamic_bind
2451	Fourier_Transform	ScaleSpace	F(ω) = ∫ f(t)e^(-iωt)dt	F=frequency domain, ω=angular frequency, f=time domain, t=time	Decomposes complexity into simpler wave-like patterns; standing waves as stable emergent forms	EQUATION_FOREST_INDEX.md	Pending	✅	2447,2452	LAYER_C_TOPOLOGY	geometric_bind
2452	Twistor_Theory	ScaleSpace	T = CP³ (complex projective 3-space) as space of null geodesics	T=twistor space, CP³=complex projective space	Emergent dimensionality from relationships; structure not fixed but emergent from relationships and informational flow	EQUATION_FOREST_INDEX.md	Pending	✅	2451	LAYER_C_TOPOLOGY	geometric_bind
2453	Vant_Hoff_Osmotic_Pressure	Desalination	Π = i·c·R·T	Π=osmotic pressure (Pa), i=van't Hoff factor, c=molar concentration (mol/m³), R=gas constant (8.314 J/mol·K), T=temperature (K)	Fundamental equation for osmotic pressure; determines minimum pressure required for reverse osmosis	desalination/osmotic_pressure.md	Pending	✅	2454,2455	LAYER_G_ENERGY	thermodynamic_bind
2454	Reverse_Osmosis_Energy	Desalination	W_min = Π·V·(1/η_pump)	W_min=minimum work (J), Π=osmotic pressure, V=volume, η_pump=pump efficiency	Minimum energy required to overcome osmotic pressure for water purification	desalination/reverse_osmosis_energy.md	Pending	✅	2453,2456	LAYER_G_ENERGY	thermodynamic_bind
2455	Specific_Energy_Consumption	Desalination	SEC = (P·V)/(Q·η)	SEC=specific energy (kWh/m³), P=pressure (Pa), V=volume (m³), Q=flow rate (m³/s), η=efficiency	Standard metric for desalination energy efficiency; benchmark ~3-4 kWh/m³ for seawater RO	desalination/sec_metrics.md	Pending	✅	2454,2457	LAYER_G_ENERGY	thermodynamic_bind
2456	Membrane_Permeability	Desalination	J_w = A·(ΔP - Δπ)	J_w=water flux (kg/m²·s), A=water permeability coefficient, ΔP=hydraulic pressure difference, Δπ=osmotic pressure difference	Solution-diffusion model for water transport through semi-permeable membranes	desalination/membrane_permeability.md	Pending	✅	2453,2455,2458	LAYER_C_TOPOLOGY	physical_bind
2457	Gibbs_Free_Energy_Mixing	Desalination	ΔG_mix = nRT(x_A ln x_A + x_B ln x_B)	ΔG_mix=Gibbs free energy of mixing, n=moles, x=mole fractions	Thermodynamic cost of separating salt from water; lower bound for desalination energy	desalination/thermodynamics.md	Pending	✅	2455,2459	LAYER_G_ENERGY	thermodynamic_bind
2458	Concentration_Polarization	Desalination	C_m = C_b·exp(J_w/k)	C_m=membrane surface concentration, C_b=bulk concentration, J_w=water flux, k=mass transfer coefficient	Salt accumulation at membrane surface reduces effective driving force; critical for RO efficiency	desalination/concentration_polarization.md	Pending	✅	2456,2460	LAYER_C_TOPOLOGY	physical_bind
2459	Enthalpy_Vaporization	Desalination	ΔH_vap = 40.66 kJ/mol at 100°C (water)	ΔH_vap=enthalpy of vaporization, varies with temperature	Energy required for thermal desalination (distillation, multi-stage flash)	desalination/thermal_distillation.md	Pending	✅	2457,2461	LAYER_G_ENERGY	thermodynamic_bind
2460	Salt_Rejection	Desalination	R = 1 - (C_p/C_f)	R=rejection fraction, C_p=permeate concentration, C_f=feed concentration	Membrane selectivity metric; 99.7% rejection typical for seawater RO	desalination/membrane_selectivity.md	Pending	✅	2458,2462	LAYER_C_TOPOLOGY	physical_bind
2461	Recovery_Rate	Desalination	Y = Q_p/Q_f	Y=recovery rate, Q_p=permeate flow, Q_f=feed flow	Fraction of feed water converted to product; 40-50% typical for seawater RO	desalination/system_design.md	Pending	✅	2459,2463	LAYER_G_ENERGY	thermodynamic_bind
2462	Fouling_Resistance	Desalination	R_f = (R_t - R_m)/R_m	R_f=fouling resistance, R_t=total resistance, R_m=membrane resistance	Membrane degradation over time due to scaling, biofouling, colloidal deposition	desalination/fouling_dynamics.md	Pending	✅	2460,2464	LAYER_C_TOPOLOGY	physical_bind
2463	Exergy_Analysis_Desalination	Desalination	Ex = (H - H₀) - T₀(S - S₀)	Ex=exergy, H=enthalpy, S=entropy, T₀=reference temperature	Second-law efficiency analysis; identifies thermodynamic losses in desalination processes	desalination/exergy_analysis.md	Pending	✅	2461,2454	LAYER_G_ENERGY	thermodynamic_bind
2464	Incompressible_Navier_Stokes	Fluid Dynamics	∂v/∂t + (v·∇)v = -∇P/ρ + ν∇²v + g	v=velocity field, P=pressure, ρ=density, ν=kinematic viscosity, g=gravity	Momentum conservation for incompressible viscous flow; fundamental equation of fluid dynamics	fluid_dynamics/navier_stokes.md	Pending	✅	2465,2466,2467,2495	LAYER_C_TOPOLOGY	physical_bind
2465	Incompressible_Continuity	Fluid Dynamics	∇·v = 0	v=velocity field	Mass conservation for incompressible flow; density is constant	fluid_dynamics/continuity.md	Pending	✅	2464,2468	LAYER_C_TOPOLOGY	physical_bind
2466	Bernoulli_Equation_Incompressible	Fluid Dynamics	P + ½ρv² + ρgh = constant	P=pressure, ρ=density, v=velocity, g=gravity, h=elevation	Energy conservation along streamline for steady incompressible flow; pressure-velocity relationship	fluid_dynamics/bernoulli.md	Pending	✅	2464,2469,2492	LAYER_G_ENERGY	thermodynamic_bind
2467	Poiseuille_Flow	Fluid Dynamics	Q = πΔP r⁴ / (8μL)	Q=volumetric flow rate, ΔP=pressure drop, r=pipe radius, μ=dynamic viscosity, L=length	Laminar flow through circular pipe; pressure-driven flow model for membrane channels	fluid_dynamics/poiseuille.md	Pending	✅	2464,2470,2503	LAYER_C_TOPOLOGY	physical_bind
2468	Stokes_Flow	Fluid Dynamics	F = 6πμRv	F=drag force, μ=dynamic viscosity, R=particle radius, v=velocity	Low Reynolds number flow (creeping flow); viscous forces dominate inertial forces	fluid_dynamics/stokes_flow.md	Pending	✅	2465,2471,2501	LAYER_C_TOPOLOGY	physical_bind
2469	Boundary_Layer_Thickness	Fluid Dynamics	δ ≈ √(νx/U)	δ=boundary layer thickness, ν=kinematic viscosity, x=distance from leading edge, U=free stream velocity	Growth of viscous boundary layer along flat plate; critical for membrane surface flow	fluid_dynamics/boundary_layer.md	Pending	✅	2466,2472,2498	LAYER_C_TOPOLOGY	physical_bind
2470	Shear_Stress_Viscous	Fluid Dynamics	τ = μ(∂u/∂y)	τ=shear stress, μ=dynamic viscosity, u=velocity, y=normal direction	Newton's law of viscosity; viscous stress proportional to velocity gradient	fluid_dynamics/shear_stress.md	Pending	✅	2467,2473,2493	LAYER_C_TOPOLOGY	physical_bind
2471	Reynolds_Transition	Fluid Dynamics	Re_crit ≈ 2300 (pipe), 5×10⁵ (flat plate)	Re=ρvL/μ, Re_crit=critical Reynolds number	Transition from laminar to turbulent flow; determines flow regime in membrane systems	fluid_dynamics/reynolds_transition.md	Pending	✅	2468,2474,2497	LAYER_C_TOPOLOGY	physical_bind
2472	Friction_Factor_Laminar	Fluid Dynamics	f = 64/Re	f=friction factor, Re=Reynolds number	Darcy-Weisbach friction factor for laminar pipe flow; pressure drop calculation	fluid_dynamics/friction_factor.md	Pending	✅	2469,2475,2507	LAYER_C_TOPOLOGY	physical_bind
2473	Vorticity_Equation	Fluid Dynamics	∂ω/∂t + (v·∇)ω = (ω·∇)v + ν∇²ω	ω=vorticity (∇×v), v=velocity, ν=kinematic viscosity	Evolution of fluid rotation; vortex stretching and diffusion in incompressible flow	fluid_dynamics/vorticity.md	Pending	✅	2470,2476	LAYER_C_TOPOLOGY	physical_bind
2474	Pressure_Drop_Darcy	Fluid Dynamics	ΔP = f(L/D)(ρv²/2)	ΔP=pressure drop, f=friction factor, L=length, D=diameter, ρ=density, v=velocity	Pressure loss in pipe flow; energy dissipation due to friction	fluid_dynamics/darcy_weisbach.md	Pending	✅	2471,2464	LAYER_G_ENERGY	thermodynamic_bind
2475	Laminar_Parabolic_Profile	Fluid Dynamics	u(r) = u_max(1 - r²/R²)	u(r)=velocity at radius r, u_max=centerline velocity, R=pipe radius	Parabolic velocity profile for fully developed laminar pipe flow; maximum at center, zero at walls	fluid_dynamics/velocity_profile.md	Pending	✅	2472,2467,2504	LAYER_C_TOPOLOGY	physical_bind
2476	Stream_Function	Fluid Dynamics	ψ = ∫ u dy - ∫ v dx	ψ=stream function, u,v=velocity components	Automatically satisfies incompressible continuity; streamlines follow ψ=constant contours	fluid_dynamics/stream_function.md	Pending	✅	2473,2465	LAYER_C_TOPOLOGY	physical_bind
2477	Kutta_Joukowski_Theorem	Fluid Dynamics	L = ρ·V·Γ	L=lift per unit span, ρ=fluid density, V=free stream velocity, Γ=circulation	Fundamental theorem connecting circulation to lift in 2D potential flow	fluid_dynamics/kutta_joukowski.md	Pending	✅	2478,2479,2481,2480	LAYER_C_TOPOLOGY	physical_bind
2478	Circulation_Definition	Fluid Dynamics	Γ = ∮ v·dl	Γ=circulation, v=velocity, dl=infinitesimal path element	Line integral of velocity around closed curve; quantifies fluid rotation	fluid_dynamics/circulation.md	Pending	✅	2477,2480,2485	LAYER_C_TOPOLOGY	physical_bind
2479	Magnus_Force	Fluid Dynamics	F_M = S·ρ·V·Γ	F_M=Magnus force, S=spin parameter, ρ=density, V=velocity, Γ=circulation	Lift force on spinning cylinder/sphere due to circulation; perpendicular to velocity and spin axis	fluid_dynamics/magnus_effect.md	Pending	✅	2477,2481,2486	LAYER_C_TOPOLOGY	physical_bind
2480	Lift_Coefficient_Circulation	Fluid Dynamics	C_L = 2Γ/(V·c)	C_L=lift coefficient, Γ=circulation, V=velocity, c=chord length	Relates circulation to dimensionless lift coefficient for 2D airfoils	fluid_dynamics/lift_coefficient.md	Pending	✅	2481,2482	LAYER_C_TOPOLOGY	physical_bind
2481	Magnus_Effect	Fluid Dynamics	F_M = ρ·V·Γ·S	F_M=Magnus force, ρ=density, V=velocity, Γ=circulation, S=spin parameter	Force on rotating object due to circulation; perpendicular to velocity and spin axis	fluid_dynamics/magnus_effect.md	Pending	✅	2479,2480	LAYER_C_TOPOLOGY	physical_bind
2482	Circulation_Lift	Fluid Dynamics	L = ρ·V·Γ	L=lift, ρ=density, V=velocity, Γ=circulation	Lift force due to circulation; fundamental principle of aerodynamics	fluid_dynamics/circulation_lift.md	Pending	✅	2480,2481	LAYER_C_TOPOLOGY	physical_bind
2483	N_Space_Circulation	Manifold Dynamics	Γ_n = ∮_∂Ω ω	Γ_n=n-dimensional circulation, ω=(n-1)-form, ∂Ω=boundary of n-manifold Ω	Generalized Stokes theorem: circulation as integral of differential form over manifold boundary; generalizes 2D circulation to n-dimensions	manifold_dynamics/n_space_circulation.md	Pending	✅	2486,2487	LAYER_C_TOPOLOGY	geometric_bind
2484	N_Space_Magnus_Force	Manifold Dynamics	F_M^n = ρ·(V × ω_n)	F_M^n=n-dimensional Magnus force tensor, ρ=density, V=velocity vector, ω_n=n-dimensional circulation pseudovector	Magnus effect generalized to n-space: cross product of velocity with circulation pseudovector yields lift force in perpendicular hyperplane	manifold_dynamics/n_space_magnus.md	Pending	✅	2485,2488	LAYER_C_TOPOLOGY	geometric_bind
2485	FAMM_Frustration_Tensor	N-Space Dynamics	Φ_μν = (Σ_thermal + Σ_steric + Σ_magnus)_μν / Σ_magnetic_μν	Φ_μν=frustration tensor (rank-2), Σ=stress tensors (rank-2), μ,ν=manifold indices	FAMM frustration generalized to n-space as rank-2 tensor field on manifold; competing stress tensors create geometric frustration in n-dimensional assembly	n_space/famm_frustration_tensor.md	Pending	✅	2485,2489	LAYER_C_TOPOLOGY	control_bind
2486	Magnus_FAMM_Coupling	N-Space Dynamics	∂_t Φ_μν = -∇_μ F_M^ν + ∇_ν F_M^μ + λ·Φ_μν	∂_t=time derivative, ∇=covariant derivative, F_M^ν=Magnus force vector, λ=coupling constant	Dynamical coupling between Magnus circulation and FAMM frustration tensor on n-manifold; Magnus force drives frustration evolution via covariant transport	n_space/magnus_famm_coupling.md	Pending	✅	2486,2487,2490	LAYER_C_TOPOLOGY	control_bind
2487	N_Space_Circulation_Metric	Manifold Dynamics	g_μν Γ^μ Γ^ν = const	g_μν=metric tensor, Γ^μ=circulation pseudovector components	Circulation magnitude invariant under coordinate transformations on n-manifold; provides geometric constraint for Magnus-FAMM coupling	manifold_dynamics/circulation_metric.md	Pending	✅	2485,2490	LAYER_D_INVARIANTS	state_bind
2488	FAMM_Magnus_Reduction	N-Space Dynamics	Φ_eff = Φ_μν - α·(F_M^μ F_M_ν)/g_μν	Φ_eff=effective frustration, α=reduction coefficient, F_M=Magnus force, g=metric	Magnus force reduces effective frustration tensor when aligned with circulation; enables assembly at lower magnetic field in n-dimensional flow	n_space/famm_magnus_reduction.md	Pending	✅	2487,2488,2491	LAYER_G_ENERGY	thermodynamic_bind
2489	N_Space_Flow_Circulation	Manifold Dynamics	Γ^μ = ε^{μν₁...ν_{n-1}} ∂_ν₁ v_{ν₂} ... ∇_ν_{n-1} v_n	Γ=circulation pseudovector, ε=Levi-Civita tensor, v=velocity, ∇=covariant derivative	Circulation generated by velocity gradients in n-dimensional flow; generalizes vorticity to n-space for Magnus effect calculation	manifold_dynamics/n_space_flow_circulation.md	Pending	✅	2485,2490	LAYER_C_TOPOLOGY	geometric_bind
2492→2490	Manifold_Bernoulli_Equation	Manifold Dynamics	P + ½ρ g_μν v^μ v^ν + ρΦ = const (along streamlines)	P=pressure scalar field, ρ=density, g_μν=metric tensor, v^μ=velocity vector field, Φ=potential scalar field	Bernoulli principle generalized to n-dimensional manifold: kinetic energy via metric contraction, potential as scalar field on manifold, conserved along integral curves of velocity field	manifold_dynamics/manifold_bernoulli.md	Pending	✅	2488,2493,2468	LAYER_G_ENERGY	thermodynamic_bind
2493→2491	Manifold_Viscous_Stress_Tensor	Manifold Dynamics	τ_μν = μ(∇_μ v_ν + ∇_ν v_μ - (2/3)g_μν ∇·v) + λ g_μν ∇·v	τ_μν=viscous stress tensor (rank-2), μ=shear viscosity, λ=bulk viscosity, ∇=covariant derivative, g_μν=metric, v=velocity	Newtonian viscosity generalized to n-manifold: stress tensor proportional to symmetric velocity gradient with covariant derivatives; includes bulk viscosity term for compressibility	manifold_dynamics/viscous_stress_tensor.md	Pending	✅	2492,2494,2500	LAYER_C_TOPOLOGY	physical_bind
2494→2492	Manifold_Strain_Rate_Tensor	Manifold Dynamics	e_μν = ½(∇_μ v_ν + ∇_ν v_μ)	e_μν=strain rate tensor (rank-2), ∇=covariant derivative, v=velocity	Symmetric velocity gradient tensor on manifold; measures local deformation rate using covariant derivatives instead of partial derivatives	manifold_dynamics/strain_rate_tensor.md	Pending	✅	2493,2495,2496	LAYER_C_TOPOLOGY	geometric_bind
2495→2493	Manifold_Navier_Stokes	Manifold Dynamics	ρ(∂_t v^μ + v^ν ∇_ν v^μ) = -g^μν ∂_ν P + ∇_ν τ^μν + ρ f^μ	ρ=density, v=velocity, ∇=covariant derivative, g^μν=inverse metric, P=pressure, τ=viscous stress tensor, f=external force	Navier-Stokes equation on n-manifold: material derivative with covariant transport, viscous stress tensor, and external forces; reduces to classical NS in Cartesian coordinates	manifold_dynamics/manifold_navier_stokes.md	Pending	✅	2493,2496,2466	LAYER_C_TOPOLOGY	physical_bind
2496→2494	Manifold_Viscous_Dissipation	Manifold Dynamics	Φ_viscous = τ_μν e^μν = μ e_μν e^μν + λ (∇·v)²	Φ_viscous=dissipation rate, τ=stress tensor, e=strain rate, μ=shear viscosity, λ=bulk viscosity	Viscous energy dissipation on manifold via contraction of stress and strain rate tensors; quantifies irreversible energy loss to heat in n-dimensional flow	manifold_dynamics/viscous_dissipation.md	Pending	✅	2493,2497	LAYER_G_ENERGY	thermodynamic_bind
2497→2495	Manifold_Reynolds_Number	Manifold Dynamics	Re = ρ g_μν v^μ v^ν L / μ	Re=Reynolds number, ρ=density, g_μν=metric, v=velocity, L=characteristic length, μ=viscosity	Reynolds number generalized to manifold using metric contraction for kinetic energy; characterizes flow regime (laminar vs turbulent) on curved geometries	manifold_dynamics/manifold_reynolds.md	Pending	✅	2494,2498,2473	LAYER_C_TOPOLOGY	physical_bind
2498→2496	Manifold_Boundary_Layer	Manifold Dynamics	δ ≈ √(ν x / g_μν v^μ v^ν)	δ=boundary layer thickness, ν=kinematic viscosity, x=distance, g_μν=metric, v=velocity	Boundary layer thickness on manifold: viscous effects scale with metric-contracted velocity; generalizes flat-plate Blasius solution to curved surfaces	manifold_dynamics/manifold_boundary_layer.md	Pending	✅	2495,2499,2471	LAYER_C_TOPOLOGY	physical_bind
2499→2497	Manifold_No_Slip_Condition	Manifold Dynamics	v^μ|_∂Ω = 0 at boundary ∂Ω	v^μ=velocity field, ∂Ω=manifold boundary	No-slip boundary condition generalized: velocity vanishes on manifold boundary in all directions; essential for viscous flow on curved surfaces with boundaries	manifold_dynamics/manifold_no_slip.md	Pending	✅	2496,2500	LAYER_C_TOPOLOGY	physical_bind
2500→2498	Manifold_Viscosity_Tensor	Manifold Dynamics	η_μνρσ = μ (g_μρ g_νσ + g_μσ g_νρ - (2/3) g_μν g_ρσ) + λ g_μν g_ρσ	η_μνρσ=fourth-rank viscosity tensor, μ=shear viscosity, λ=bulk viscosity, g_μν=metric	Anisotropic viscosity as fourth-rank tensor on manifold; generalizes isotropic Newtonian viscosity to curved geometries where viscosity may vary with direction	manifold_dynamics/viscosity_tensor.md	Pending	✅	2497,2501	LAYER_C_TOPOLOGY	physical_bind
2501→2499	Manifold_Stokes_Flow	Manifold Dynamics	∇_ν τ^μν + g^μν ∂_ν P = 0 (low Re limit)	∇=covariant derivative, τ=viscous stress tensor, g^μν=inverse metric, P=pressure	Stokes flow (creeping flow) on manifold: viscous forces dominate inertial forces; pressure and viscous stress balance via covariant derivatives for low Reynolds number flow	manifold_dynamics/manifold_stokes_flow.md	Pending	✅	2498,2502,2470	LAYER_C_TOPOLOGY	physical_bind
2502→
2502→2500	Manifold_Poiseuille_Flow_Rate	Manifold Dynamics	Q = (π R⁴ ΔP) / (8 μ L_g) · (1 + κ R²)	Q=volumetric flow rate, R=channel radius, ΔP=pressure drop, μ=viscosity, L_g=geodesic length, κ=curvature correction	Poiseuille flow rate on curved manifold: Hagen-Poiseuille law with geodesic length and curvature correction for non-Euclidean channel geometry	manifold_dynamics/manifold_poisuelle_flow.md	Pending	✅	2494,2503,2469	LAYER_C_TOPOLOGY	physical_bind
2503→2501	Manifold_Parabolic_Profile_Curved	Manifold Dynamics	v(r) = v_max [1 - (r/R)²] · (1 - κ r²/6)	v(r)=velocity at radius r, v_max=centerline velocity, R=channel radius, κ=curvature	Parabolic velocity profile on curved manifold: modified by curvature term that reduces velocity near walls in curved channels	manifold_dynamics/curved_velocity_profile.md	Pending	✅	2502,2504	LAYER_C_TOPOLOGY	physical_bind
2504→2502	Manifold_Pressure_Drop_Curved	Manifold Dynamics	ΔP = (8 μ L_g Q) / (π R⁴) · (1 + κ R²)	ΔP=pressure drop, μ=viscosity, L_g=geodesic length, Q=flow rate, R=radius, κ=curvature	Pressure drop along curved channel: increased resistance due to curvature; geodesic length replaces Euclidean length	manifold_dynamics/curved_pressure_drop.md	Pending	✅	2502,2505	LAYER_G_ENERGY	thermodynamic_bind
2505→2503	Manifold_Shear_Stress_Poiseuille	Manifold Dynamics	τ_w = (R ΔP) / (2 L_g) · (1 + κ R²/2)	τ_w=wall shear stress, R=radius, ΔP=pressure drop, L_g=geodesic length, κ=curvature	Wall shear stress in curved Poiseuille flow: curvature increases stress at channel walls	manifold_dynamics/curved_shear_stress.md	Pending	✅	2503,2506	LAYER_C_TOPOLOGY	physical_bind
2506→2504	Manifold_Hydraulic_Resistance	Manifold Dynamics	R_h = (8 μ L_g) / (π R⁴) · (1 + κ R²)	R_h=hydraulic resistance, μ=viscosity, L_g=geodesic length, R=radius, κ=curvature	Hydraulic resistance on manifold: geometric factor includes curvature correction for non-straight channels	manifold_dynamics/manifold_hydraulic_resistance.md	Pending	✅	2504,2507	LAYER_G_ENERGY	thermodynamic_bind
2507→2505	Manifold_Friction_Factor_Poiseuille	Manifold Dynamics	f = 64/Re · (1 + κ R²/4)	f=friction factor, Re=Reynolds number, κ=curvature, R=radius	Friction factor for laminar flow in curved channels: curvature increases effective friction beyond classical 64/Re	manifold_dynamics/curved_friction_factor.md	Pending	✅	2505,2508	LAYER_C_TOPOLOGY	physical_bind
2508→2506	Manifold_Geodesic_Channel_Length	Manifold Dynamics	L_g = ∫_C √(g_μν dx^μ dx^ν)	L_g=geodesic length, g_μν=metric tensor, C=channel curve	Length of curved channel on manifold: integral of metric along channel path; replaces Euclidean length in Poiseuille equations	manifold_dynamics/geodesic_length.md	Pending	✅	2506,2509	LAYER_C_TOPOLOGY	geometric_bind	714,715,716
2509→2507	Manifold_Curvature_Correction	Manifold Dynamics	κ = |∇_t T| = √(g_μν T^μ T^ν)	κ=curvature, ∇_t=covariant derivative along tangent, T=tangent vector, g_μν=metric	Curvature of channel path on manifold: magnitude of covariant derivative of tangent vector; quantifies channel deviation from geodesic	manifold_dynamics/curvature_correction.md	Pending	✅	2507,2510	LAYER_C_TOPOLOGY	geometric_bind	714,715,716
2510→2508	Manifold_Channel_Cross_Section	Manifold Dynamics	A = π R² √(det(g_ij))	A=cross-sectional area, R=radius, g_ij=induced metric on cross-section	Cross-sectional area on manifold: metric determinant accounts for non-Euclidean geometry of channel slice	manifold_dynamics/manifold_cross_section.md	Pending	✅	2508,2511	LAYER_C_TOPOLOGY	geometric_bind	714,715,716
2511→2509	Manifold_Poiseuille_Entrance_Length	Manifold Dynamics	L_e = 0.06 Re D · (1 + κ D)	L_e=entrance length, Re=Reynolds number, D=diameter, κ=curvature	Entrance length for fully developed Poiseuille flow on manifold: curvature extends development length in curved channels	manifold_dynamics/manifold_entrance_length.md	Pending	✅	2509,2512	LAYER_C_TOPOLOGY	physical_bind
2512→
ANI_Average_Nucleotide_Identity	Bioinformatics	ANI = (percent_identity × percent_query_coverage) / 100	percent_identity, percent_query_coverage	Compare generated phage genomes to natural sequences; <95% ANI qualifies as new species	tools/lean/Semantics/Semantics/BioRxivFormalization.lean	Documented	✅	LAYER_H_ALGEBRA	informational_bind
AAI_Average_Amino_Acid_Identity	Bioinformatics	AAI = average(sequence_identity(protein_i, reference_i))	sequence_identity, proteins	Proteome-level comparison; design constraint: <95% AAI for diversification	tools/lean/Semantics/Semantics/BioRxivFormalization.lean	Documented	✅	LAYER_H_ALGEBRA	informational_bind
Shannon_Diversity_Hprime	Information_Theory	H' = -Σ (p_i × log2(p_i))	p_i=proportion of species i	Measure sequence population diversity; increases with temperature and prompt length	tools/lean/Semantics/Semantics/BioRxivFormalization.lean	Documented	✅	LAYER_A_COMPRESSION	informational_bind
JukesCantor_Genetic_Distance	Phylogenetics	d = -(3/4) × ln(1 - (4/3) × p)	p=proportion of differing sites	Build Neighbor-Joining trees; assumes equal substitution rates	data/evo_bacteriophile_math_extraction.md	Documented	✅	LAYER_H_ALGEBRA	informational_bind
pLDDT_Structure_Confidence	Structural_Biology	pLDDT ∈ [0, 100]	Confidence score	Higher scores indicate more confident local structure predictions (AlphaFold/ESMFold)	tools/lean/Semantics/Semantics/BioRxivFormalization.lean	Documented	✅	LAYER_H_ALGEBRA	informational_bind
pTM_Template_Modeling	Structural_Biology	pTM ∈ [0, 1]	Global fold confidence	Measures overall model confidence (AlphaFold 3)	tools/lean/Semantics/Semantics/BioRxivFormalization.lean	Documented	✅	LAYER_H_ALGEBRA	informational_bind
FSC_Fourier_Shell_Correlation	CryoEM	FSC(k) = |F1(k)|·|F2(k)|·cos(Δφ(k)) / (|F1(k)|² + |F2(k)|²)	F1,F2=Fourier transforms, k=spatial frequency, Δφ=phase difference	Cryo-EM map validation; resolution threshold FSC = 0.143	tools/lean/Semantics/Semantics/BioRxivFormalization.lean	Documented	✅	LAYER_H_ALGEBRA	informational_bind
Gaussian_Blur_ORF_Smoothing	Image_Processing	G_σ(x) = (1/(σ√(2π))) × exp(-x²/(2σ²))	σ=blur parameter, x=position	Smooth one-hot encoded ORF boundaries; σ=5 for optimal sensitivity/specificity	tools/lean/Semantics/Semantics/BioRxivFormalization.lean	Documented	✅	LAYER_H_ALGEBRA	informational_bind
Architecture_Similarity_Score	Bioinformatics	Score = correlation(E_template, E_candidate) after Gaussian blur	E=one-hot encoding	Filter generated genomes; threshold >0.38 delineates ΦX174-like sequences	tools/lean/Semantics/Semantics/BioRxivFormalization.lean	Documented	✅	LAYER_H_ALGEBRA	informational_bind
Fold_Change_Competition	Statistics	FC_t = read_count_t / read_count_{t-1}	read_count_t=count at time t	Phage competition assay; cumulative fold change = Σ FC_i	tools/lean/Semantics/Semantics/BioRxivFormalization.lean	Documented	✅	LAYER_H_ALGEBRA	informational_bind
Growth_Rate_Derivative	Biophysics	r(t) = d(OD600)/dt ≈ (OD600(t+Δt) - OD600(t)) / Δt	OD600=optical density, t=time	Instantaneous bacterial growth rate; negative values indicate lysis	tools/lean/Semantics/Semantics/BioRxivFormalization.lean	Documented	✅	LAYER_G_ENERGY	thermodynamic_bind
Mutation_Rate_Genomics	μ = N_mutations / L_genome	N_mutations=number of mutations, L_genome=genome length	Normalized mutation count; hotspots: promoter A (0.11), terminator H (0.09), gene J (0.07)	tools/lean/Semantics/Semantics/BioRxivFormalization.lean	Documented	✅	LAYER_H_ALGEBRA	informational_bind
PerPosition_Entropy	Information_Theory	H(x) = -Σ P(c|x) × log2(P(c|x))	P(c|x)=probability of nucleotide c at position x	Language model uncertainty; lower entropy after fine-tuning indicates better modeling	tools/lean/Semantics/Semantics/BioRxivFormalization.lean	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Novel_Mutation_Count	Bioinformatics	N_novel = L_genome × (1 - ANI/100)	L_genome=genome length, ANI=average nucleotide identity	Estimated mutations not found in natural genomes; range: 67-392 for viable phages	tools/lean/Semantics/Semantics/BioRxivFormalization.lean	Documented	✅	LAYER_H_ALGEBRA	informational_bind
Shannon_Entropy_Genomic	Information_Theory	H(X) = -Σ_{i=1}^{n} p(x_i) log_2 p(x_i)	H(X)=entropy, p(x_i)=probability of nucleotide/k-mer	Quantifies genomic information content; measures uncertainty/randomness in sequence distribution	data/biorxiv_2025_2026_math_extraction.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Jensen_Shannon_Divergence	Information_Theory	JSD(P||Q) = (1/2) D_KL(P||M) + (1/2) D_KL(Q||M), M = (1/2)(P+Q)	JSD=Jensen-Shannon divergence, D_KL=KL divergence, P,Q=distributions	Measures evolutionary conservation between sequence distributions; symmetric bounded alternative to KL divergence	data/biorxiv_2025_2026_math_extraction.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Kullback_Leibler_Divergence	Information_Theory	D_KL(P||Q) = Σ_{i} P(i) log_2 (P(i) / Q(i))	D_KL=KL divergence, P=true distribution, Q=approximating distribution	Measures information loss when Q approximates P; asymmetric distribution difference measure	data/biorxiv_2025_2026_math_extraction.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Masked_Language_Modeling_Loss	Machine_Learning	L = -Σ_{x∈M} log P(x | x̃)	L=cross-entropy loss, M=masked tokens, x=original token, x̃=corrupted sequence	Training objective for genomic language models; learns to predict masked nucleotides from context	data/biorxiv_2025_2026_math_extraction.md	Documented	✅	LAYER_H_ALGEBRA	informational_bind
LDDT_Local_Distance_Difference	Structural_Biology	LDDT = (1/N) Σ_{i,j} θ(d_{i,j} - d̂_{i,j})	LDDT=local distance difference test, N=residue pairs, d=actual distance, d̂=predicted distance	Measures local confidence at residue level; evaluates predicted distance accuracy	data/biorxiv_2025_2026_math_extraction.md	Documented	✅	LAYER_H_ALGEBRA	informational_bind
pTM_Template_Modeling_Score	Structural_Biology	TM-score = max[(1/L_target) Σ_{i=1}^{L_common} 1/(1+(d_i/d_0)^2)], d_0=1.24*(L_target-15)^{1/3}-1.8	TM-score=template modeling score, L_target=target length, L_common=aligned residues, d_i=distance	Assesses global topological accuracy of predicted protein structures; length-normalized metric	data/biorxiv_2025_2026_math_extraction.md	Documented	✅	LAYER_H_ALGEBRA	informational_bind
Gibbs_Free_Energy_Compensation	Thermodynamic	ΔG = ΔH - TΔS	ΔG=Gibbs free energy change, ΔH=enthalpy change, T=temperature, ΔS=entropy change	Models relationship between evolutionary fitness and sequence entropy; biological fitness compensates for entropy cost	data/biorxiv_2025_2026_math_extraction.md	Documented	✅	LAYER_G_ENERGY	thermodynamic_bind
Fitness_Entropy_Tradeoff	Thermodynamic	f = f_max - α * H	f=fitness function, f_max=maximum fitness, α=trade-off coefficient, H=sequence entropy	Linear compensation model where higher entropy reduces fitness; quantifies evolutionary constraints	data/biorxiv_2025_2026_math_extraction.md	Documented	✅	LAYER_G_ENERGY	thermodynamic_bind
Abstract_CoT_Marginal_Likelihood	Machine_Learning	p(y|x) = Σ_z p(y|z,x)p(z|x)	x=prompt, y=answer, z=abstract trace, θ=model parameters	Marginal likelihood maximization for discrete latent reasoning; intractable sum over abstract traces motivates bootstrapping procedure	https://arxiv.org/abs/2604.22709	Documented	✅	LAYER_H_ALGEBRA	informational_bind
Abstract_CoT_Constrained_Decoding	Machine_Learning	πθ^abs(a|h) = πθ(a|h) * 1[a∈A] / Σ_{u∈A} πθ(u|h)	πθ=policy, h=context, A=allowed tokens, 1[indicator]=indicator function	Constrained decoding policy restricted to abstract codebook tokens; enforces hard cap m_max on generated tokens	https://arxiv.org/abs/2604.22709	Documented	✅	LAYER_H_ALGEBRA	informational_bind
Abstract_CoT_Information_Bottleneck	Machine_Learning	I(Y;C) ≤ I(Y;Z_abs) ≤ I(Z_abs;C)	Y=answer, C=verbal CoT, Z_abs=abstract token hidden states	Data processing inequality; information flow from CoT to answer bounded by abstract sequence capacity; H_Z_abs scales linearly with m	https://arxiv.org/abs/2604.22709	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Abstract_CoT_Power_Law_Distribution	Machine_Learning	p(token) ∝ token^{-α}	α≈1.5-2.0 (Zipf-like)	Emergent power law distribution over abstract vocabulary during RL training; resembles natural language token frequency distribution	https://arxiv.org/abs/2604.22709	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Abstract_CoT_GRPO_Advantage	Machine_Learning	A_k = (R_k - μ) / σ	R_k=reward, μ=mean reward, σ=std dev	Group Relative Policy Optimization advantage normalization; stabilizes RL updates on abstract token policy	https://arxiv.org/abs/2604.22709	Documented	✅	LAYER_H_ALGEBRA	informational_bind
Abstract_CoT_Compression_Ratio	Machine_Learning	compression_ratio = E[|c_verbal|] / E[m]	c_verbal=verbal CoT tokens, m=abstract tokens	Token efficiency metric; achieves 10.4-11.6× compression on MATH-500, 1.9-2.2× on AlpacaEval, 4.0-4.3× on HotpotQA	https://arxiv.org/abs/2604.22709	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Reynolds_Number	Fluid_Dynamics	Re = ρuL/μ = uL/ν	ρ=density, u=flow velocity, L=characteristic length, μ=dynamic viscosity, ν=kinematic viscosity	Ratio of inertial to viscous forces; predicts laminar-turbulent transition (Re_crit ≈ 2100 for pipe flow)	https://en.wikipedia.org/wiki/Reynolds_number	Documented	✅	LAYER_K_SIGNAL	thermodynamic_bind
Kolmogorov_Energy_Spectrum	Fluid_Dynamics	E(k) = Cε^(2/3)k^(-5/3)	E(k)=energy spectrum, C≈1.5, ε=energy dissipation rate, k=wavenumber	Universal energy distribution in turbulent inertial subrange; -5/3 power law from energy cascade	https://en.wikipedia.org/wiki/Energy_cascade	Documented	✅	LAYER_K_SIGNAL	thermodynamic_bind
Information_Reynolds_Number	Information_Theory	Re_info = I_inertial / I_viscous = (H_flow × L_flow) / (μ_info × ν_info)	H_flow=information flow rate, L_flow=characteristic information length, μ_info=information viscosity, ν_info=information kinematic viscosity	Analogous to fluid Reynolds number; controls transition from laminar (bottleneck) to turbulent (high-throughput) information flow	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Information_Turbulence_Entropy	Information_Theory	H_turb = -Σ p(eddy) log₂ p(eddy) + α×E_cascade	p(eddy)=probability of information eddy, α=cascade coupling, E_cascade=energy cascade rate	Higher entropy in turbulent information flow; mixing increases information transfer rate analogous to fluid turbulence	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Laminar_Information_Bottleneck	Information_Theory	I(Y;C) ≤ I(Y;Z) ≤ I(Z;C) when Re_info < Re_crit	Y=target, C=source, Z=bottleneck, Re_crit=critical information Reynolds number	Data processing inequality as laminar flow; smooth, constrained information transfer with minimal mixing (current bottleneck regime)	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Turbulent_Information_Flow	Information_Theory	I(Y;C) ≈ I(Y;Z) ≈ I(Z;C) when Re_info >> Re_crit	Y=target, C=source, Z=bottleneck, Re_crit=critical information Reynolds number	Information turbulence breaks bottleneck; chaotic eddies increase mixing and transfer rate, analogous to high-Re fluid flow	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Manning_Canal_Flow	Fluid_Dynamics	V = (k/n) R_h^(2/3) S^(1/2), Q = A×V	V=velocity, n=Manning coefficient, R_h=hydraulic radius, S=slope, A=area, Q=discharge	Open channel flow rate depends on channel geometry and slope; hydraulic radius R_h = A/P where P=wetted perimeter	https://en.wikipedia.org/wiki/Manning_formula	Documented	✅	LAYER_K_SIGNAL	thermodynamic_bind
Grashof_Number	Fluid_Dynamics	Gr = gβ(T_s - T_∞)L³/ν²	g=gravity, β=thermal expansion, T_s=surface temp, T_∞=bulk temp, L=length, ν=kinematic viscosity	Ratio of buoyancy to viscous forces; controls natural convection transition (Gr_crit ≈ 10⁸ for turbulent convection)	https://en.wikipedia.org/wiki/Grashof_number	Documented	✅	LAYER_K_SIGNAL	thermodynamic_bind
Fourier_Heat_Conduction	Thermodynamic	q = -kA dT/dx	q=heat flux, k=thermal conductivity, A=area, dT/dx=temperature gradient	Heat flows from hot to cold proportional to temperature gradient; Fourier's law of thermal conduction	https://en.wikipedia.org/wiki/Fourier%27s_law	Documented	✅	LAYER_G_ENERGY	thermodynamic_bind
Dynamic_Information_Canal	Information_Theory	Q_info(t) = A(t) × V(t) = A(t) × (k/n) R_h(t)^(2/3) S(t)^(1/2)	Q_info=information flow rate, A(t)=dynamic channel area, R_h(t)=dynamic hydraulic radius, S(t)=dynamic slope	Information channel with time-varying capacity; geometry changes adapt flow rate analogous to dynamic canal geometry	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Information_Buoyancy_Grashof	Information_Theory	Gr_info = g_info × β_info × (H_s - H_∞) × L³ / ν²	g_info=information gravity, β_info=information expansion, H_s=source entropy, H_∞=ambient entropy, L=length, ν=viscosity	Ratio of information buoyancy (entropy gradient) to viscous resistance; controls information convection and "heat rising" behavior	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Information_Thermal_Gradient	Information_Theory	dH/dz = α × (H(z) - H_ambient)	dH/dz=entropy gradient with height, α=thermal coefficient, H(z)=entropy at height z	Information entropy increases as it flows upward (buoyancy-driven); creates natural convection analogous to heat rising	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Natural_Information_Convection	Information_Theory	Gr_info > Gr_crit → turbulent convection, I(Y;C) ≈ I(Y;Z) ≈ I(Z;C)	Gr_crit≈10⁸ for turbulent information convection	Information rises due to its own "heat" (entropy); high Gr_info breaks bottleneck via buoyancy-driven convection	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Chiral_Spiral_Information_Flow	Information_Theory	I_flow(θ,χ) = I_0 × exp(α·χ·sin(θ)) × φ^layer	θ=spiral angle, χ=chirality, φ=golden ratio, layer=spiral layer	Information flows along chiral spiral paths; chirality determines twist direction, golden ratio scales by layer	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_C_TOPOLOGY	geometric_bind
Golden_Spiral_Canal_Geometry	Fluid_Dynamics	R(θ) = c·√(θ/ψ), A(θ) = π·R(θ)² × (1 + χ·sin(kθ))	R=radius, θ=angle, ψ=golden angle, c=scale, χ=chirality, k=wavenumber	Canal cross-section varies along golden spiral; chirality adds twist modulation to area	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_C_TOPOLOGY	geometric_bind
Chiral_Turbulence_Vorticity	Fluid_Dynamics	ω = ∇×v = χ·(v_θ/r) + β·(∂v_r/∂θ - ∂v_θ/∂r)	ω=vorticity, v=velocity, χ=chirality, β=twist coefficient	Chirality induces vorticity in turbulent flow; creates spiral eddies that enhance mixing	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_K_SIGNAL	thermodynamic_bind
Information_Helical_Flow	Information_Theory	h = (v·ω)/|v||ω| = χ·φ^(layer/φ)	h=helicity, v=information velocity, ω=vorticity, χ=chirality, φ=golden ratio	Helical information flow along chiral spiral; chirality and golden ratio determine twist intensity	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_C_TOPOLOGY	geometric_bind
Chiral_Bottleneck_Transform	Information_Theory	I_trans = I_in × (1 + χ·sin(2π·n/φ)) × exp(-layer/φ)	χ=chirality, n=spiral index, φ=golden ratio, layer=spiral layer	Chiral spiral transforms information flow through bottleneck; golden ratio provides optimal layer scaling	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Artin_Braid_Group	Braid_Theory	B_n = ⟨σ₁,σ₂,...,σ_{n-1} | σ_iσ_j = σ_jσ_i for |i-j|≥2, σ_iσ_{i+1}σ_i = σ_{i+1}σ_iσ_{i+1}⟩	σ_i=strand i crossing over strand i+1, n=number of strands	Braid group generators and relations; fundamental group of configuration space; Yang-Baxter equation connection	https://en.wikipedia.org/wiki/Braid_group	Documented	✅	LAYER_C_TOPOLOGY	geometric_bind
French_Braid_3Strand	Braid_Theory	B_3 = ⟨σ₁,σ₂ | σ₁σ₂σ₁ = σ₂σ₁σ₂⟩ ≅ PSL(2,Z)	σ₁,σ₂=generators for 3-strand braid, PSL(2,Z)=modular group	3-strand french braid isomorphic to modular group; fundamental relation σ₁σ₂σ₁ = σ₂σ₁σ₂ (braid relation)	https://en.wikipedia.org/wiki/Braid_group	Documented	✅	LAYER_C_TOPOLOGY	geometric_bind
Information_Braid_3Channel	Information_Theory	I_braid = σ_l·σ_t·σ_c where σ_lσ_tσ_l = σ_tσ_lσ_t	σ_l=laminar strand, σ_t=turbulent strand, σ_c=chiral strand	3-channel information braid with laminar/turbulent/chiral strands; braid relation ensures mixing and intertwining of flows	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Braid_Index_Information	Information_Theory	b = min{n | I_total = I₁ ⊕ I₂ ⊕ ... ⊕ I_n}	b=braid index, I_i=information strand i	Minimum number of strands needed to represent information flow as a braid; lower braid index = simpler topology	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_C_TOPOLOGY	geometric_bind
Alexander_Polynomial_Braid	Braid_Theory	Δ_B(t) = det(M - M^T) / (1 - t) where M=Burau matrix	M=Burau representation matrix, t=polynomial variable	Knot invariant for braid closure; Alexander polynomial distinguishes different braid topologies	https://en.wikipedia.org/wiki/Alexander_polynomial	Documented	✅	LAYER_C_TOPOLOGY	geometric_bind
French_Braid_Information_Mixing	Information_Theory	I_mix = I_l ⊗ I_t ⊗ I_c with σ₁σ₂σ₁ = σ₂σ₁σ₂	⊗=tensor product (mixing), σ₁,σ₂=braid generators	French braid mixing of 3 information channels; braid relation ensures optimal interleaving and flow enhancement	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Recursive_Braid_Braiding	Braid_Theory	B(B_n) = ⟨σ_{i,j} | σ_{i,j}σ_{k,l} = σ_{k,l}σ_{i,j} for |i-j|≥2⟩	σ_{i,j}=generator for braiding strand i over strand j in braid level j	Braids of braids; recursive structure where each strand is itself a braid; hierarchical information topology	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_C_TOPOLOGY	geometric_bind
Algebraic_Braid_Category	Category_Theory	γ_{A,B}: A⊗B → B⊗A with hexagon identity: α_{B,C,A} ∘ γ_{A,B⊗C} ∘ α_{A,B,C} = (γ_{A,C}⊗id_B) ∘ α_{B,A,C} ∘ (id_B⊗γ_{A,C})	γ=braiding isomorphism, α=associator, A,B,C=objects	Braided monoidal category; hexagon identity ensures coherent braiding structure; Yang-Baxter equation connection	https://en.wikipedia.org/wiki/Braided_monoidal_category	Documented	✅	LAYER_C_TOPOLOGY	geometric_bind
SU3_Color_Charge	Quantum_Chromodynamics	c ∈ {R,G,B} for quarks; c̄ ∈ {R̄,Ḡ,B̄} for antiquarks; gluons: c⊗c̄ combinations	R=red, G=green, B=blue; 8 gluons from 9 possible color-anticolor combos	Color charge in QCD; three colors combine to colorless (white); color confinement requires net color zero	https://en.wikipedia.org/wiki/Color_charge	Documented	✅	LAYER_G_ENERGY	thermodynamic_bind
Color_Assigned_Braid_Portion	Information_Theory	B_portion = (I_segment, color, position) where color ∈ {R,G,B}	I_segment=information flow segment, color=SU(3) color charge, position=braid position	Each portion of french braid assigned color; hierarchical braiding with color coding for information segments	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Hexagon_Identity_Information	Information_Theory	α_{B,C,A} ∘ γ_{A,B⊗C} ∘ α_{A,B,C} = (γ_{A,C}⊗id_B) ∘ α_{B,A,C} ∘ (id_B⊗γ_{A,C})	α=information associator, γ=information braiding, A,B,C=information channels	Hexagon identity ensures coherent braiding of information channels; prevents topological inconsistencies	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_C_TOPOLOGY	geometric_bind
Color_Confinement_Information	Information_Theory	Σ_i color_i = colorless (white) for closed information loop	color_i=color charge of information segment i	Color confinement: information must be colorless when closed; ensures information conservation in braided topology	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Gear_Reduction_Ratio	Mechanics	GR = N_output / N_input = ω_input / ω_output = τ_output / τ_input	GR=gear ratio, N=teeth count, ω=angular speed, τ=torque	Gear reduction transforms speed and torque; higher GR = lower speed, higher torque (mechanical advantage)	https://www.accu.co.uk/p/442-what-is-gear-ratio	Documented	✅	LAYER_K_SIGNAL	thermodynamic_bind
Divide_Conquer_Reduction	Algorithm	T(n) = a·T(n/b) + f(n) where a≥1, b>1, f(n)=work to divide/combine	T(n)=time complexity, a=subproblems, b=split factor, f(n)=overhead	Recursive reduction: decompose into subproblems, solve, compose; complexity depends on split factor and overhead	https://en.wikipedia.org/wiki/Divide-and-conquer_algorithm	Documented	✅	LAYER_B_ROUTING	informational_bind
Shell_Gear_Reduction	Information_Theory	I_final = I_initial × Π_{i=1}^{k} (1/GR_i) where GR_i = reduction ratio at level i	I_final=final information, I_initial=initial, GR_i=gear reduction at level i, k=levels	Hierarchical gear reduction: grind down complex information structure through sequential reduction ratios at each level	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Information_Torque_Amplification	Information_Theory	τ_info_final = τ_info_initial × Π_{i=1}^{k} GR_i	τ_info=information torque (transfer intensity), GR_i=gear reduction at level i	Information torque amplified through gear reduction; higher reduction ratios increase transfer intensity analogous to mechanical torque	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Reduction_Factor_Bottleneck	Information_Theory	R_factor = I_bottleneck / I_initial = Π_{i=1}^{k} (1/GR_i)	R_factor=reduction factor, I_bottleneck=bottleneck information, I_initial=initial	Reduction factor measures how much information is preserved through gear reduction; higher reduction = more information retained	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Final_Result_Extraction	Information_Theory	I_result = reduce(AlgebraicBraid, GR_sequence) where reduce applies gear reduction recursively	AlgebraicBraid=hierarchical braid structure, GR_sequence=reduction ratios, reduce=recursive reduction function	Extract final result from hierarchical algebraic braid by applying shell gear reduction sequence; grounds complex structure to single value	docs/geometry/INFORMATION_REYNOLDS_NUMBER.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
Compression_Ratio_Genomic	Compression	CR = U_size / C_size	CR=compression ratio, U_size=uncompressed size, C_size=compressed size	Measures compression effectiveness; higher ratio indicates better compression	data/biorxiv_2025_2026_math_extraction.md	Documented	✅	LAYER_A_COMPRESSION	informational_bind
GA_Fitness_Function	Optimization	fitness = CR - λ * (decomp_time / comp_time)	fitness=GA fitness function, CR=compression ratio, λ=weighting factor	Multi-objective optimization balancing compression ratio with computational efficiency	data/biorxiv_2025_2026_math_extraction.md	Documented	✅	LAYER_B_ROUTING	informational_bind
2609	Acoustic_Gradient_Field	Acoustic	∇f = (∂f/∂x₁, ∂f/∂x₂, ..., ∂f/∂xₙ)	∇f=gradient vector, f=pressure field, xᵢ=n-space coordinates, n=dimensions	Sound waves as n-space gradient fields; acoustic propagation as geodesic flow on manifold; impedance as gradient magnitude |∇f|	tools/lean/Semantics/Semantics/MorphicDSP.lean	Lean	✅	LAYER_C_TOPOLOGY	geometric_bind
2610	Acoustic_Impedance	Acoustic	Z = |∇f| = √(Σ(∂f/∂xᵢ)²)	Z=acoustic impedance, ∇f=gradient vector, xᵢ=coordinates	Acoustic impedance as gradient magnitude; high-gradient regions cause reflection/refraction; metric tensor on acoustic manifold	tools/lean/Semantics/Semantics/MorphicDSP.lean	Lean	✅	2609	LAYER_C_TOPOLOGY	geometric_bind
2611	Acoustic_Geodesic	Acoustic	γ(t) = argmin ∫|∇f(γ(t))|dt	γ(t)=geodesic path, ∇f=gradient field, t=parameter	Geodesic flow following gradient descent on acoustic manifold; sound rays as gradient trajectories	tools/lean/Semantics/Semantics/MorphicDSP.lean	Lean	✅	2609	LAYER_C_TOPOLOGY	geometric_bind
2612	Acoustic_Resonance	Acoustic	ωₙ ∝ ⟨|∇f|⟩	ωₙ=resonant frequency, ⟨|∇f|⟩=average gradient magnitude	Resonance eigenmode prediction via Laplacian eigenvalue approximation; standing waves as eigenfunctions on manifold	tools/lean/Semantics/Semantics/MorphicDSP.lean	Lean	✅	2609	LAYER_C_TOPOLOGY	geometric_bind
2613	Gradient_Interference	Acoustic	∇f_total = ∇f₁ + ∇f₂	∇f_total=combined gradient, ∇f₁,∇f₂=individual gradients	Interference pattern via gradient field superposition; constructive/destructive interference as gradient alignment/misalignment	tools/lean/Semantics/Semantics/MorphicDSP.lean	Lean	✅	2609	LAYER_C_TOPOLOGY	geometric_bind
2614	Acoustic_Shannon_Entropy	Acoustic	H₁ = -Σ p_b log₂ p_b (over |∇f|)	H₁=Shannon entropy, p_b=gradient magnitude probability	Acoustic Shannon entropy over gradient magnitudes; measures disorder in acoustic gradient field	tools/lean/Semantics/Semantics/EntropyMeasures.lean	Lean	✅	2609	LAYER_A_COMPRESSION	informational_bind
2615	Acoustic_Collision_Entropy	Acoustic	H₂ = -log₂ Σ p_b² (over |∇f|)	H₂=collision entropy, p_b=gradient magnitude probability	Acoustic collision entropy over gradient magnitudes; measures concentration of acoustic energy in gradient field	tools/lean/Semantics/Semantics/EntropyMeasures.lean	Lean	✅	2609	LAYER_A_COMPRESSION	informational_bind
2616	Acoustic_Min_Entropy	Acoustic	H_∞ = -log₂ max_b p_b (over |∇f|)	H_∞=min-entropy, p_b=gradient magnitude probability	Acoustic min-entropy over gradient magnitudes; measures worst-case acoustic uncertainty in gradient field	tools/lean/Semantics/Semantics/EntropyMeasures.lean	Lean	✅	2609	LAYER_A_COMPRESSION	informational_bind
2617	Acoustic_Adaptive_Entropy	Acoustic	H_adapt = {H₁ if σ<σ_low; H₂ if σ_low≤σ≤σ_high; H_∞ if σ>σ_high}	H_adapt=adaptive entropy, σ=variance, σ_low,σ_high=thresholds	Acoustic entropy adaptation based on gradient variance; switches between entropy measures based on field disorder	tools/lean/Semantics/Semantics/EntropyMeasures.lean	Lean	✅	2614,2615,2616	LAYER_A_COMPRESSION	informational_bind
2618	Acoustic_Impedance_Entropy	Acoustic	H_Z = -Σ p(Z) log₂ p(Z)	H_Z=impedance entropy, p(Z)=impedance distribution	Acoustic impedance mismatch entropy; measures disorder in impedance distribution across field	tools/lean/Semantics/Semantics/EntropyMeasures.lean	Lean	✅	2609	LAYER_A_COMPRESSION	informational_bind
2619	Diffraction_Entropy	Acoustic	H_κ = -Σ p(κ) log₂ p(κ)	H_κ=diffraction entropy, κ=curvature, p(κ)=curvature distribution	Diffraction entropy measures gradient field curvature disorder; higher curvature = more diffraction = higher entropy	tools/lean/Semantics/Semantics/EntropyMeasures.lean	Lean	✅	2609	LAYER_A_COMPRESSION	informational_bind
2620	Resonance_Entropy	Acoustic	H_ω = -Σ p(ωₙ) log₂ p(ωₙ)	H_ω=resonance entropy, ωₙ=eigenmode frequency, p(ωₙ)=eigenmode distribution	Resonance entropy measures disorder in eigenmode distribution; predicts resonance stability via entropy analysis	tools/lean/Semantics/Semantics/EntropyMeasures.lean	Lean	✅	2612	LAYER_A_COMPRESSION	informational_bind
2622	Burgers_1D_Classical	Nonlinear PDEs	u_t + u·u_x = ν·u_xx	u=velocity field, t=time, x=spatial coordinate, ν=kinematic viscosity	Fundamental model for shock waves, turbulence, and nonlinear wave propagation in 1D. Integrable via Cole-Hopf transform.	0-Core-Formalism/lean/Semantics/Semantics/BurgersPDE.lean	Lean	✅	Bertini1994,ColeHopf1951,10.1007/BF02099769	LAYER_B_DYNAMICS	continuum_bind
2623	Burgers_nD_Vector	Nonlinear PDEs	u_t + (u·∇)u = ν∇²u	u=velocity vector field, ∇=nabla operator, ν=viscosity	Multi-dimensional Burgers equation in vector form. Models nonlinear advection-diffusion in n-dimensional space.	https://doi.org/10.1007/s00205-020-01576-6	Documented	✅	Serre2020,Biler1998	LAYER_B_DYNAMICS	continuum_bind
2624	Burgers_nD_Component	Nonlinear PDEs	∂u_i/∂t + Σ_j u_j·∂u_i/∂x_j = ν·Δu_i	u_i=i-th velocity component, x_j=j-th spatial coordinate, Δ=Laplacian	Component-wise n-dimensional Burgers system. Each component evolves under self-advection and diffusion.	https://doi.org/10.1007/s00205-020-01576-6	Documented	✅	Serre2020,Srivastava2014	LAYER_B_DYNAMICS	continuum_bind
2625	Burgers_Cole_Hopf	Nonlinear PDEs	u = -2ν·∂/∂x(ln φ)	φ=solution to heat equation, ν=viscosity	Cole-Hopf transformation linearizes Burgers equation to heat equation φ_t = ν·φ_xx. Enables exact solutions.	0-Core-Formalism/lean/Semantics/Semantics/ColeHopfTransform.lean	Lean	✅	Cole1951,Hopf1950,10.1007/BF02099769	LAYER_H_ALGEBRA	analytical_bind
2626	Stochastic_Burgers_1D	Stochastic PDEs	∂u/∂t + u·∂u/∂x = ν·∂²u/∂x² + σ·∂W/∂x	u=velocity, W=space-time white noise, σ=noise intensity	Burgers equation with multiplicative space-time white noise. Requires rough path theory for well-posedness.	0-Core-Formalism/lean/Semantics/Semantics/StochasticBurgersPDE.lean	Lean	✅	Hairer2010,Bertini1994,10.1007/s00440-011-0392-1	LAYER_B_DYNAMICS	stochastic_bind
2627	KPZ_Equation	Stochastic PDEs	h_t = ν·∇²h + λ/2·(∇h)² + η(x,t)	h=height field, η=space-time white noise, λ=nonlinearity strength	Kardar-Parisi-Zhang equation - universal model for random surface growth. Related to Burgers via h = -∫u dx.	https://doi.org/10.1007/s00220-015-2481-0	Documented	✅	Gubinelli2015,Quastel2015	LAYER_B_DYNAMICS	stochastic_bind
2628	Fractional_Burgers	Nonlinear PDEs	u_t + u·u_x = ν·(-Δ)^{α/2}u	α=fractional order (0<α≤2), (-Δ)^{α/2}=fractional Laplacian	Burgers equation with fractional dissipation. Models anomalous diffusion and turbulence with memory effects.	https://doi.org/10.1006/jdeq.1998.3458	Documented	✅	Biler1998,Woyczynski1998	LAYER_B_DYNAMICS	continuum_bind
2629	Burgers_2D_System	Nonlinear PDEs	u_t + u·u_x + v·u_y = ν(u_xx + u_yy)	u,v=velocity components in x,y directions	Two-dimensional Burgers equation. Used for testing numerical methods and studying 2D turbulence patterns.	0-Core-Formalism/lean/Semantics/Semantics/Burgers2DPDE.lean	Lean	✅	Gao2017,Yang2019,10.1016/j.apm.2016.12.010	LAYER_B_DYNAMICS	continuum_bind
2630	Burgers_3D_System	Nonlinear PDEs	u_t + (u·∇)u = νΔu	u=(u,v,w)=3D velocity field	Three-dimensional Burgers equation. Prototype for 3D Navier-Stokes studies and compressible flow modeling.	0-Core-Formalism/lean/Semantics/Semantics/Burgers3DPDE.lean	Lean	✅	Gao2017,Mittal2023,10.1016/j.apm.2016.12.010	LAYER_B_DYNAMICS	continuum_bind
2631	Burgers_High_Order_Compact	Numerical Methods	u_j^n+1 = u_j^n - Δt·(u·u_x)_j + ν·Δt·(u_xx)_j	Δt=time step, j=spatial index	High-order compact finite difference scheme for multi-dimensional Burgers equations. 4th-6th order accuracy.	https://doi.org/10.1016/j.amc.2019.04.023	Implemented	✅	Yang2019,Zhang2019	LAYER_H_ALGEBRA	numerical_bind
2632	Burgers_SpaceTime_Pseudospectral	Numerical Methods	u(x,t) ≈ Σ_{i,j} L_i(x)·L_j(t)·u_{ij}	L_i,L_j=Lagrange polynomials	Space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic Burgers equations.	https://doi.org/10.1016/j.apnum.2023.07.016	Documented	✅	Mittal2023,Mittal2022	LAYER_H_ALGEBRA	numerical_bind
2633	Burgers_Variational_Iteration	Analytical Methods	u_{n+1} = u_n + ∫_0^t λ(ξ)·(∂u_n/∂t + u_n·∂u_n/∂x - ν·∂²u_n/∂x²)dξ	λ=Lagrange multiplier, u_n=n-th approximation	Variational iteration method (VIM) for semi-analytical solution of multi-dimensional Burgers equations.	https://doi.org/10.1016/j.asej.2013.11.006	Documented	✅	Srivastava2014,Hussain2023	LAYER_H_ALGEBRA	analytical_bind
2634	Burgers_Soliton_Solutions	Nonlinear PDEs	u(x,t) = Σ_{k=1}^N A_k·sech²(B_k·(x - c_k·t - x_{0k}))	A_k=amplitude, B_k=width parameter, c_k=wave speed	Multi-soliton solutions for (2+1) and (3+1)-dimensional Burgers equations via Hirota bilinear method.	https://doi.org/10.1016/j.joes.2022.10.001	Documented	✅	Xia2022,Wang2022	LAYER_B_DYNAMICS	analytical_bind