This file exposes the concrete Section 6 module-equivalence conclusion for the actual Zhou carriers. The proof uses the public characteristic-kernel and quotient transport files in this project.

theorem Connes.PaperNonisomorphism.paperCharacteristicModuleEquiv (f : Construction.PaperKernel.paperGammaOne.Carrier ≃* Construction.PaperKernel.paperGammaTwo.Carrier) : ∃ (σ : ↥Construction.PaperKernel.Q ≃* ↥Construction.PaperKernel.Q), Nonempty (qRepresentationOne.asModule ≃ₗ[Ring] (qRepresentationTwoAlong σ).asModule)

theorem Connes.PaperNonisomorphism.paperNotIsomorphic (hOne : moduleOneSemisimple) : ¬Nonempty (Construction.PaperKernel.paperGammaOne.Carrier ≃* Construction.PaperKernel.paperGammaTwo.Carrier)

The concrete Zhou groups are nonisomorphic from the first-module input (Zhou §6).