CV055 — horner prefix transport — irrationality research

Exact named statement

forall ab ac bb bc t M N. Le(M,N) ->
  (forall i a. Lt(i,M) ->
  BetaAt(ab,ac,i,a) ->
  BetaAt(bb,bc,i,a)) ->
  exists hb hc x. NatScaledHornerTrace(ab,ac,t,N,hb,hc) /\ (NatScaledHornerTrace(bb,bc,t,M,hb,hc) /\ BetaAt(hb,hc,M,x))

PD0001 — Le · PD0002 — Lt · PD0013 — BetaAt · ND0427 — NatScaledHornerTrace

Fully expanded target AST

Complete certificate and independent checks

109 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: 6c091c8fbcbf99ab1176e5414d83f55bd66930b61f484841194d2dec7a45b4a4
Bundle SHA-256: 6382c26066688b7d2c5cc25eb442a350ec02d7c876667e06e0b32e597dfa04f7

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 same actual horner history for matching shorter input prefix and its endpoint not equality of different length endpoints

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