CV027 — periodic convolution — irrationality research

Exact named statement

forall ab ac cb cc N i h c. Lt(S(S i),N) ->
  BetaAt(ab,ac,0,0) ->
  BetaAt(ab,ac,1,h) ->
  (forall j x y. Lt(S(S j),N) ->
  BetaAt(ab,ac,j,x) ->
  BetaAt(ab,ac,S(S j),y) ->
  x=y) ->
  BetaAt(cb,cc,S i,c) ->
  exists u v. NatConvolutionCoefficient(ab,ac,N,cb,cc,N,i,u) /\ (NatConvolutionCoefficient(ab,ac,N,cb,cc,N,S(S i),v) /\ v=u+h*c)

PD0002 — Lt · PD0013 — BetaAt · ND0401 — NatConvolutionCoefficient

Fully expanded target AST

Complete certificate and independent checks

137 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: 3850a7a9f34d3796dd4b8e08f3a80925758444d026b1c0ce93c108108af94dec
Bundle SHA-256: 48a775c9d61abf6bb9adf64eb39d170b6694988e0a2ee2dc7b654a0cca714b2f

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 convolution coefficients of period two prefix not exp or analytic identity

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