CV039 — constructed horner sum — irrationality research

Exact named statement

forall ab ac t N. exists wb wc p qb qc hb hc r. (NatGeometricWeightTable(t,N,wb,wc) /\ (Pow(t,N,p) /\ (BetaAt(wb,wc,0,p) /\ (forall j w q. Le(j,N) ->
  BetaAt(wb,wc,j,w) ->
  Pow(t,j,q) ->
  w*q=p)))) /\ (NatHornerWeightedPrefix(ab,ac,wb,wc,qb,qc,N) /\ (NatScaledHornerTrace(ab,ac,t,N,hb,hc) /\ (BetaAt(hb,hc,N,r) /\ Sum(qb,qc,N,r))))

PD0001 — Le · PD0013 — BetaAt · PD0015 — Sum · ND0427 — NatScaledHornerTrace · ND0428 — NatGeometricWeightTable · ND0429 — NatHornerWeightedPrefix · PD0020 — Pow

Fully expanded target AST

Complete certificate and independent checks

137 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: 04e9780ee714dda23598933ee36bc81764c56ad8b2edc3632b84e8161529ddf8
Bundle SHA-256: 8b1f8f7f6c20cc160fb79285ee98a4c22931aee8c7494f9e39d848055b15fc5c

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 · CV037 · CV038

Scope

constructed geometric weights actual power pointwise products horner trace and actual sum for same endpoint not multiplication or analytic identity

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