HA + independent Lean evidence · Research, not Alpha admission

CV004 — series power trace

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

Exact named statement

forall ab ac L H K. exists pb pc qb qc. NatPowerTrace(ab,ac,L,H,pb,pc,qb,qc,K)

ND0407 — NatPowerTrace

Fully expanded target AST

Complete certificate and independent checks

121 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: d39fa99bbfda29fc077a02cf8d23cc3a5d36c8f829bb9b76988a537042145777
Bundle SHA-256: 2d6398dce2762252fbd18ade9897b03bd7b4d6c5502424ccb3f734712e9e789d

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 finite natural power tables not vanishing or composition IR079

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