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allaun
f75384082e
Item 1 (BurgersPDE): Added Q16_16.mul_sq_le_sq lemma and applyViscosity_energy_le general theorem — the universal energy dissipation result that subsumes all 5 point-evaluation proofs. Item 7 (AVMRTheorems): Added Float-free vectorFieldℝ, Lipschitz proof, ε=0 base_dynamics, and ode_existence (with TODO) for the missingLinkODE continuum limit. Also fixed broken proofs: tipCoordinateMassResonance corrected to mass ≤ (k+1)² only; massResonanceMax → massMidpoint (correct: mass = k·(k+1)); replaced Nat.sqrt_eq_iff_sq_le (removed in Mathlib 4.30) with inline le_antisymm + Nat.le_sqrt proofs; fixed import paths; fixed omega/nlinarith failures in AVMRCore. Build: 3571 jobs, 0 errors (Semantics workspace), 8315 jobs, 1 sorry (ode_existence TODO)
28 lines
947 B
Text
28 lines
947 B
Text
import Mathlib
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import Semantics.AVMRCore
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/-! # AVMR Classification
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Event classification to DNA bases.
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Split from AVMRProofs.lean per swarm suggestion (USER AUTHORIZED).
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-/
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/-- The four axial generators correspond to DNA bases -/
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inductive EventType | a | g | c | t
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deriving Repr, BEq, DecidableEq
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/-- Classification of shell positions to DNA bases.
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These 4 special positions on each shell correspond to
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the 4 nucleotide bases, mapping structural features
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to biochemical properties:
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- a (n = k²): Purine, 2 H-bonds (A)
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- g (n = k² + k): Purine, 3 H-bonds (G)
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- c (n = k² + k + 1): Pyrimidine, 3 H-bonds (C)
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- t (n = (k+1)² - 1): Pyrimidine, 2 H-bonds (T)
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-/
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def classifyEvent (s : ShellState) : Option EventType :=
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let k := s.k; let n := s.n
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if n = k*k then some .a
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else if n = k*k + k then some .g
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else if n = k*k + k + 1 then some .c
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else if n = (k+1)*(k+1) - 1 then some .t
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else none
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