HA + independent Lean evidence · Research, not Alpha admission

CV008 — natural fubini

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

Exact named statement

forall ab ac o s t m n. exists rb rc cb cc z. NatAffineRowSums(ab,ac,o,s,t,m,n,rb,rc) /\ (NatAffineRowSums(ab,ac,o,t,s,n,m,cb,cc) /\ (Sum(rb,rc,m,z) /\ Sum(cb,cc,n,z)))

PD0015 — Sum · ND0413 — NatAffineRowSums

Fully expanded target AST

Complete certificate and independent checks

126 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: 144c71f1f4627b2ab6b53db389f1fc57d00868e5daf3716c01c6858aa379fec7
Bundle SHA-256: ee2157fd318e4de4909bf579ec1f3bae6efe8a8d4b56e9b75e938df87d5c2450

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 all rectangles natural fubini not convolution associativity

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