HA + independent Lean evidence · Research, not Alpha admission

CV010 — convolution commutative

Full irrationality (IR072/G121) remains open. Stable: 432. Alpha v35: 4,318. This checkpoint changes neither catalogue.

Exact named statement

forall ab ac L bb bc M i. exists n. NatConvolutionCoefficient(ab,ac,L,bb,bc,M,i,n) /\ NatConvolutionCoefficient(bb,bc,M,ab,ac,L,i,n)

ND0401 — NatConvolutionCoefficient

Fully expanded target AST

Complete certificate and independent checks

133 actual local proof nodes. Each node carries its complete ordinary HA proof body.

Full canonical proof bundle · Original HA receipt · Independent Lean receipt

Target SHA-256: 3e62febc17b41a970070ca88e057e05ef7888d821a65f9019ac15bfb8fc5a825
Bundle SHA-256: 35c67ca650e7222ffedb065f157777f40bd88d06acfb746314dcb8d6c6afb093

Checked statement containment

These exact targets occur inside this certificate. These links summarize containment, not direct dependency arrows; the downloadable bundle records every private lemma and ordered edge.

Scope

constructed commutative natural convolution coefficients not associativity

None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.