Exact named statement
forall ab ac bb bc L M. Le(L,M) ->
exists cb cc u v s t. (NatConvolutionPrefix(ab,ac,M,bb,bc,M,cb,cc,L+L)) /\ ((Sum(ab,ac,L,u)) /\ ((Sum(bb,bc,L,v)) /\ ((Sum(cb,cc,L,s)) /\ ((Sum(cb,cc,L+L,t)) /\ ((Le(s,u*v)) /\ (Le(u*v,t)))))))Complete certificate and independent checks
191 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: f7b106d5f635ac96c28ef758a3a64c6f827875f97e9103f80b6f48ce84f679c5
Bundle SHA-256: 384a22dea45672963e1b1d54ae1c6273adc3f4abb76f484684a0c11b110f6222
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.
AP040 · CV008 · CV009 · CV011 · CV043 · CV044 · CV046 · CV047 · CV048 · CV095
Scope
construct the actual convolution of extended inputs and sandwich the rectangular product of the short input sums between its short and double length sums by finite locality prefix order and the full product identity
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.