CV056 — supported horner product — irrationality research

Exact named statement

forall ab ac L bb bc M r s t N q. NatZeroAfter(ab,ac,L,r) ->
  NatZeroAfter(bb,bc,M,s) ->
  Le(r+s,N) ->
  N+q=L+M ->
  exists cb cc ahb ahc x bhb bhc y chb chc z p. NatConvolutionPrefix(ab,ac,L,bb,bc,M,cb,cc,N) /\ (NatScaledHornerTrace(ab,ac,t,L,ahb,ahc) /\ (BetaAt(ahb,ahc,L,x) /\ (NatScaledHornerTrace(bb,bc,t,M,bhb,bhc) /\ (BetaAt(bhb,bhc,M,y) /\ (NatScaledHornerTrace(cb,cc,t,N,chb,chc) /\ (BetaAt(chb,chc,N,z) /\ (Pow(t,q,p) /\ p*z=t*(x*y))))))))

PD0001 — Le · PD0013 — BetaAt · ND0402 — NatConvolutionPrefix · ND0427 — NatScaledHornerTrace · PD0020 — Pow · ND0436 — NatZeroAfter

Fully expanded target AST

Complete certificate and independent checks

229 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: 635fb0c8045c84285d3fe940d860ef76da985384f4e0dc4f4fbb19c8fe5c1b74
Bundle SHA-256: 7835488cb0d4b1045a1989d2979b9f5c6138e5b0fc49ed08155aa1e578decbb2

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.

CV008 · CV009 · CV011 · CV032 · CV037 · CV038 · CV039 · CV043 · CV044 · CV046 · CV047 · CV048 · CV049

Scope

constructed support complete shorter convolution horner product with actual power scaling and extra multiplier no cancellation or arbitrary truncation identity

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