proof
P12 Coordination bottleneck
Lean spine source
formal/AlignmentProofSpine/Capability.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 P12_coordination_bottleneck
{raw eff loss : Int}
(hdef : eff = raw - loss) (hloss : 0 < loss) :
eff < raw := by omega