Exact named statement
forall d N. exists wb wc. NatExpWeightTable(d,N,wb,wc) /\ (forall j a. Le(j,N) ->
BetaAt(wb,wc,j,a) ->
~d=0 ->
~a=0)Complete certificate and independent checks
108 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: 67f4d5cffffb0e5b5dd1f559eb6b6d8cd2dbb5ac23bdeb79d580326b4cf5a880
Bundle SHA-256: e94cd7dab31d292ec52a9fff9ca85a05f17b5ba0aac7c396fa8c25c449b7b998
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 terminal one exponential weight recurrence and nonvanishing not factorial interpretation
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.