Exact named statement
forall ab ac L bb bc M cb cc K i W. Lt(i,W) ->
exists pb pc qb qc z. NatConvolutionPrefix(ab,ac,L,bb,bc,M,pb,pc,W) /\ (NatConvolutionPrefix(bb,bc,M,cb,cc,K,qb,qc,W) /\ (NatConvolutionCoefficient(pb,pc,W,cb,cc,K,i,z) /\ NatConvolutionCoefficient(ab,ac,L,qb,qc,W,i,z)))PD0002 — Lt · ND0401 — NatConvolutionCoefficient · ND0402 — NatConvolutionPrefix
Complete certificate and independent checks
168 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: a455e5f4420f28921f898952ebc74012686b69749b15192af32727495f22413b
Bundle SHA-256: 82a2a015e265224a899337bc2b375693c9881f2774e68487d87420cdf909478a
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 natural convolution associativity below common 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.