HA + independent Lean evidence · Research, not Alpha admission

CV089 — ternary prefix bound

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

Exact named statement

forall ab ac D N y p. NatBoundedPrefix(ab,ac,2*D,N) ->
  NatHornerValue(ab,ac,3,N,y) ->
  Pow(3,N,p) ->
  Le(y+D,D*p)

PD0001 — Le · PD0020 — Pow · ND0437 — NatHornerValue · ND0440 — NatBoundedPrefix

Fully expanded target AST

Complete certificate and independent checks

40 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: 5065e02e01a4babe946abf7b6ad03affafc1b509d98b79ed7d5f71995498c926
Bundle SHA-256: 24c5dab66abdf543bfa39db7e32f55de16c4e88cd4f17fc80bf203a809ddd6cc

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

supplied base three Horner value and actual power obey y plus D at most D times power for any two D bounded prefix without zero head including empty prefix no analytic limit

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