CV082 — supplied horner splitting — irrationality research

Exact named statement

forall ab ac bb bc t M N x y z p. NatAffineSlice(ab,ac,M,1,bb,bc,N) ->
  NatHornerValue(ab,ac,t,M,x) ->
  NatHornerValue(bb,bc,t,N,y) ->
  NatHornerValue(ab,ac,t,M+N,z) ->
  Pow(t,N,p) ->
  z=p*x+y

ND0411 — NatAffineSlice · PD0020 — Pow · ND0437 — NatHornerValue

Fully expanded target AST

Complete certificate and independent checks

38 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: 2060fe5fe40be2b8cca591f0f8c6e4703cbe9367a3616d60b77f5e6c457553fc
Bundle SHA-256: 471fda92b4c23387af927e0452c262de5ebc4f043563b67c1eec37c75bc90b57

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.

Scope

supplied actual tail slice and independently computed prefix tail whole values obey exact scaled split using proved Horner value uniqueness without replacing codes values or cancelling factors

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