Exact named statement
forall alpha beta ab ac bb bc L. exists cb cc. NatLinearTriple(alpha,beta,1,ab,ac,bb,bc,cb,cc,L) /\ (forall db dc M i. exists u v w. NatConvolutionCoefficient(ab,ac,L,db,dc,M,i,u) /\ (NatConvolutionCoefficient(bb,bc,L,db,dc,M,i,v) /\ (NatConvolutionCoefficient(cb,cc,L,db,dc,M,i,w) /\ w=alpha*u+beta*v)))ND0401 — NatConvolutionCoefficient · ND0409 — NatLinearTriple
Complete certificate and independent checks
125 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: f7bac172808c99e0125de6a05eaa1bb261596422da0685f05dbeb18d5b9ac56b
Bundle SHA-256: 5b951b467a3ba0decc2263327cdb596869bc977f11ed2a58fabd53aa3a7bfdc6
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 weighted natural prefix and convolution values not composition
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.