CV065 — bounded horner — irrationality research

Exact named statement

forall ab ac D k. BetaAt(ab,ac,0,0) ->
  NatBoundedPrefix(ab,ac,D,S k) ->
  exists y p. NatHornerValue(ab,ac,2,S k,y) /\ (Pow(2,k,p) /\ Le(y+D,D*p))

PD0001 — Le · PD0013 — BetaAt · PD0020 — Pow · ND0437 — NatHornerValue · ND0440 — NatBoundedPrefix

Fully expanded target AST

Complete certificate and independent checks

125 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: 9014d749012734cecddb6aba75ab714b63794d50d28aef611ecc1a9018f2c091
Bundle SHA-256: 015481deac61973d996c1014b3c0c9f76bbfd20614546338bc6b86a4be7a41b8

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.

CV032

Scope

constructed horner value and actual power with integer majorant from separate bounded coefficients and zero head including zero bound not an analytic limit

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