Derive 12 equations. The numbers have values. Formalize them in Lean 4.

F01: 7 numbers — 121.567, 102.572, 97.254, 94.974, 93.780, 93.074, 93.622
- Encode as Q16.16 fixed-point
- Define: encode(x) = floor(x * 65536 + 0.5) / 65536
- Verify with Wolfram Alpha
- File: F01.lean

F02: 8-level constraint hierarchy
- Define compression operator C: (input, constraint) → output
- Information rate: R(D) = I(input; output) given distortion D
- 8 levels with cumulative compression ratio
- File: F02.lean

F03: Continuous information metric
- Fisher-Rao metric: g_ij(θ) = E[∂log p(x;θ)/∂θ_i · ∂log p(x;θ)/∂θ_j]
- Differential entropy: h(X) = -∫ p(x) log p(x) dx
- File: F03.lean

F04: Game-theoretic strategy encoding
- Policy function: π: State → Action
- ESS condition: π* = argmax E[payoff | π*, population]
- File: F04.lean

F05: Rate-distortion for biological encoding
- R(D) = min_{p(x̂|x)} I(X;X̂) subject to E[d(X,X̂)] ≤ D
- File: F05.lean

F06: Evolutionary dynamics on manifold
- Replicator: dx_i/dt = x_i((Ax)_i - x^TAx)
- Lyapunov: dV/dt ≤ 0
- File: F06.lean

F07: Cancer as compression failure
- Entropy increase: H_cancer > H_healthy
- Threshold: H > H_critical → failure mode
- File: F07.lean

F08: Robustness-compression relation
- R = f(C) where R = error correction capacity, C = compression ratio
- Trade-off: dR/dC < 0
- File: F08.lean

F09: Compression dynamics
- dC/dt = -∇_C L(total) where L = loss function
- Fixed point: dC/dt = 0
- File: F09.lean

F10: Possibility space cardinality
- |G| = 4^L for genome length L
- Viable subset |V| << |G|
- Ratio: |V|/|G| ≈ 10^(-6×10^8)
- File: F10.lean

F11: Adjacent possible expansion
- d(AP)/dt = α · diversity + β · innovation
- α, β = coupling constants
- File: F11.lean

F12: Master unification equation
- S_{t+1} = Master(S_t, environment, constraints)
- Integrate F01-F11
- File: F12.lean

Requirements:
- Q16.16 fixed-point arithmetic only
- #eval example for every def
- Wolfram Alpha verification in comments
- Theorem proving totality for every operation
- lake build must pass