Exact named statement
forall ab ac L bb bc M i. exists db dc eb ec p q r. NatEulerPrefix(ab,ac,db,dc,L) /\ (NatEulerPrefix(bb,bc,eb,ec,M) /\ (NatConvolutionCoefficient(ab,ac,L,bb,bc,M,i,p) /\ (NatConvolutionCoefficient(db,dc,L,bb,bc,M,i,q) /\ (NatConvolutionCoefficient(ab,ac,L,eb,ec,M,i,r) /\ i*p=q+r))))ND0401 — NatConvolutionCoefficient · ND0410 — NatEulerPrefix
Complete certificate and independent checks
123 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: f8bff474361b2be3a4a2a9c81b30cdb9c317dd510ffdaf1ac64fa5762046cbea
Bundle SHA-256: 140a7b41c2c895ce52fdcec8b9189af18def5d054be512c8a3dffef23bf2b169
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 coefficientwise natural euler product rule not composition IR079
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.