HA + independent Lean evidence · Research, not Alpha admission

CV044 — cauchy 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 N. exists gb gc. NatCauchyGrid(ab,ac,L,bb,bc,M,N,gb,gc)

ND0433 — NatCauchyGrid

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: 78d464d63eb29155ecd6adef39b240abfae271ca11d414e46e9ecc2be332a0a4
Bundle SHA-256: 9c96b3fa34227010da9bdd33d71361ce7d3edbae1ee2f1c230f90f46c5a74ad0

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 square cauchy grid from actual zero padded antidiagonal products and triangular zeros not row column sum or evaluation identity

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