HA + independent Lean evidence · Research, not Alpha admission

CV016 — convolution unit

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

Exact named statement

forall ab ac L H i. Lt(i,H) ->
  exists ub uc a. NatUnitPrefix(ub,uc,H) /\ (BetaZeroExtend(ab,ac,L,i,a) /\ NatConvolutionCoefficient(ub,uc,H,ab,ac,L,i,a))

PD0002 — Lt · ND0291 — BetaZeroExtend · ND0401 — NatConvolutionCoefficient · ND0404 — NatUnitPrefix

Fully expanded target AST

Complete certificate and independent checks

142 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: 80e61d585bc00d1ae1a6ea2c87fb652ee553927823efe339412d1d7e39c7b5d4
Bundle SHA-256: 354eae0281744eaefdf71202d0e84fd1e9e1ad154f712f8f8969b942294c7c77

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.

CV009 · CV011

Scope

constructed natural convolution unit below width not composition

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