CV057 — supported horner values — irrationality research

Exact named statement

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

233 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: 77e93a327c7aa0811b3c17aa3152b979b62a19aa3ae70c957544ac810f17661a
Bundle SHA-256: adf11d705133f6bc0082777b36d663241bdbf3204ef1262757ea59157b4bf639

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 · CV056

Scope

support complete product for supplied actual convolution horner and power values by extensional transport not code equality 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.