HA + independent Lean evidence · Research, not Alpha admission

CV012 — triple grid

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 cb cc K i. exists gb gc. NatTripleGrid(ab,ac,L,bb,bc,M,cb,cc,K,i,gb,gc)

ND0417 — NatTripleGrid

Fully expanded target AST

Complete certificate and independent checks

110 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: ac50bc2ab4e67d47f7b5eb88eead79f814654ca2b863006b38df9015214803c2
Bundle SHA-256: 77fdbd64eb98decdc1a310bb553b5c8bc5e675e5cdb1e252438f0538dad2b646

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 actual finite triple product grid not sum identities or associativity

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