somamaley-ux/Non-Degenerate Construction and the Kernel of Admissibility

Non-Degenerate Construction and the Kernel of Admissibility Latest Release: Initial standalone formalization of Non-Degenerate Construction and the Kernel of Admissibility

This release publishes the standalone Lean 4 formalization and A+ audit surface for the kernel paper, Non-Degenerate Construction and the Kernel of Admissibility.

Highlights:

Formalizes the paper's fixed-domain admissibility-kernel result. Includes theorem anchors for fixed-domain uniqueness: KernelUniqueOnFixedDomain and PaperKernelUniquenessOnFixedDomainStatement. Includes theorem anchors for non-derivability from below: NoDerivationBelowKernel, PaperNothingDerivableBelowKernelStatement, PaperKernelNonDerivabilityStatement, and PaperNoFaithfulLowerGeneratorStatement. Records final A+ closure of the theorem spine: 31 theorem-spine rows tracked, 31 closed or audited, 0 residual gates, and 0 hypothesis gates. Provides a canonical module: MaleyLean.Papers.NonDegenerateConstructionAndKernelOfAdmissibility. Includes focused A+ audit files and a standalone audit script. Keeps the repository paper-scoped, with only the minimal Bivalence/AASC bridge required by the kernel formalization. Validated with:

lake build MaleyLean.Papers.NonDegenerateConstructionAndKernelOfAdmissibility powershell -ExecutionPolicy Bypass -File scripts\check-minimal-conditions-a-plus-audit.ps1 lake build MaleyLean The audit confirms that no live axiom, sorry, admit, or unsafe declarations appear in the kernel-paper audit surface.