CV013 — triple row sum — irrationality research

Exact named statement

forall ab ac L bb bc M cb cc K i j r a ub uc. j+r=i ->
  BetaZeroExtend(ab,ac,L,j,a) ->
  NatTripleRowPrefix(ab,ac,L,bb,bc,M,cb,cc,K,i,j,ub,uc) ->
  exists t s. NatConvolutionCoefficient(cb,cc,K,bb,bc,M,r,t) /\ (Sum(ub,uc,S i,s) /\ s=a*t)

PD0015 — Sum · ND0291 — BetaZeroExtend · ND0401 — NatConvolutionCoefficient · ND0418 — NatTripleRowPrefix

Fully expanded target AST

Complete certificate and independent checks

139 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: 835ed495fdd7f286cacdd0a59c544660f11c1fac47fb70eac20dad374b982a57
Bundle SHA-256: 39db448c4be4a9bee828be1d616a9fd4065555cd9fa7416c5ee57eb4019e41e7

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.

CV009 · CV011

Scope

constructed actual triple row sum as scaled convolution not associativity

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