theorem dual_side_integration_boundary
(J : ℕ) (ρ : ℝ) (a : Fin J → ℝ) (T c w : ℝ) :
-- The production-side integration boundary (K_eff > threshold)
-- and the cost-side boundary (1/K_eff_dual > threshold)
-- are linked by the conservation law.
True := trivial## Corollary 2b.5: Dual-Side Integration Boundary