HA + independent Lean evidence · Research, not Alpha admission

CV059 — row horner values

Full irrationality (IR072/G121) remains open. Stable: 432. Alpha v35: 4,318. This checkpoint changes neither catalogue.

Exact named statement

forall pb pc qb qc t H K. exists vb vc. NatRowHornerPrefix(pb,pc,qb,qc,t,H,vb,vc,K) /\ (forall k ub uc y. Lt(k,K) ->
  NatPowerRow(pb,pc,qb,qc,k,ub,uc) ->
  NatHornerValue(ub,uc,t,H,y) ->
  BetaAt(vb,vc,k,y))

PD0002 — Lt · PD0013 — BetaAt · ND0405 — NatPowerRow · ND0437 — NatHornerValue · ND0438 — NatRowHornerPrefix

Fully expanded target AST

Complete certificate and independent checks

115 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: b2b6e620f12b84c498f8ab5190550c6d41534be74a012313e03297548ed9eefc
Bundle SHA-256: e1a375ba40571463ff4d30a66216e348605613a70967c04b32c9402c9d9af06a

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 actual horner value prefix for arbitrary coded rows with all value extensionality not weighted accumulation or analytic composition

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