proof
P29 Self-control gap
Lean spine source
formal/AlignmentProofSpine/Successors.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 P29_better_self_modeling_can_increase_risk
{A B : System}
(hcontrol : SelfControl A < SelfControl B)
(hvis : CorrectionVisibility B ≤ CorrectionVisibility A) :
SelfControl A - CorrectionVisibility A < SelfControl B - CorrectionVisibility B := by
omega