Exact named statement
forall ab ac m n x. Sum(ab,ac,m,x) ->
(forall j. Lt(j,n) ->
BetaAt(ab,ac,m+j,0)) ->
Sum(ab,ac,m+n,x)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: a7f186fd8bb8fecb316c79650a437ffc8e7c8a66e971c9cdf9740c56e26fe28e
Bundle SHA-256: bdd2e9754c7c3700e19d4a26426a490e34fabfb435f0020e9b99ab26d984ff55
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
actual zero tail finite sum transport not convolution associativity
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.