proof
Amplification ≠ correction contraction
Lean spine source
formal/AlignmentProofSpine/Correction.leanFrom the machine-checked spine in formal/ (core modules are Mathlib-free;Field/Finite/ may import Mathlib). Not self-contained for Lean 4 Web — use the repo or a local lake build.
theorem amplification_not_correction_contraction :
∃ a : Bool, ToyLocalRecursiveSupervision a ∧ ¬ ToyCorrectionContraction a :=
⟨false, trivial, by decide⟩