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
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.