proof
P45 Philosophical boundary
Lean spine source
formal/Philosophy.leanFrom the machine-checked spine in formal/ (Mathlib + spine imports). Not self-contained for Lean 4 Web — use the repo or a local lake build.
theorem P45_layered_alignment_has_philosophical_boundary :
∃ (L₁ L₂ : Bool) (c : ToyChange),
ToyTechnicalInvariant c ∧ ToyAccepts L₁ c ∧ ¬ ToyAccepts L₂ c :=
P44_technical_invariants_do_not_determine_legitimacy