CV050 — convolution locality — irrationality research

Exact named statement

forall ab ac L bb bc M cb cc N db dc O H i. (forall j a. Lt(j,H) ->
  BetaZeroExtend(ab,ac,L,j,a) ->
  BetaZeroExtend(cb,cc,N,j,a)) ->
  (forall j a. Lt(j,H) ->
  BetaZeroExtend(bb,bc,M,j,a) ->
  BetaZeroExtend(db,dc,O,j,a)) ->
  Lt(i,H) ->
  exists n. NatConvolutionCoefficient(ab,ac,L,bb,bc,M,i,n) /\ NatConvolutionCoefficient(cb,cc,N,db,dc,O,i,n)

PD0002 — Lt · ND0291 — BetaZeroExtend · ND0401 — NatConvolutionCoefficient

Fully expanded target AST

Complete certificate and independent checks

117 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: 750e75f60ad34a2d8fa423359399e8fcd60a9a1c90dbde559a2faf8a856457c0
Bundle SHA-256: eefa1a560700fd4767facdeeb2765dd01c5c6caed05d6d6b4653f75e84619e07

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

constructed common actual coefficient from two local padded input transports below explicit strict cutoff not all degree or analytic equality

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