Exact named statement
forall ab ac L t J K wb wc. Le(S(K*L),S J) ->
exists pb pc qb qc ahb ahc x p v rb rc sb sc vb vc zb zc s. (NatPowerTrace(ab,ac,L,S J,pb,pc,qb,qc,K)) /\ ((NatScaledHornerTrace(ab,ac,t,L,ahb,ahc)) /\ ((BetaAt(ahb,ahc,L,x)) /\ ((Pow(t,L,p)) /\ ((Pow(t,J,v)) /\ ((NatWeightedSeriesTrace(S J,wb,wc,pb,pc,qb,qc,rb,rc,sb,sc,K)) /\ ((NatRowHornerPrefix(pb,pc,qb,qc,t,S J,vb,vc,K)) /\ ((NatPointwiseProductPrefix(wb,wc,vb,vc,zb,zc,K)) /\ ((Sum(zb,zc,K,s)) /\ ((forall ub uc. NatPowerRow(rb,rc,sb,sc,K,ub,uc) ->
NatHornerValue(ub,uc,t,S J,s)) /\ (forall k y a b c. Lt(k,K) ->
BetaAt(vb,vc,k,y) ->
Pow(p,k,a) ->
Pow(t,k,b) ->
Pow(x,k,c) ->
a*y=(v*b)*c))))))))))PD0001 — Le · PD0002 — Lt · PD0013 — BetaAt · PD0015 — Sum · ND0427 — NatScaledHornerTrace · PD0020 — Pow · ND0405 — NatPowerRow · ND0407 — NatPowerTrace · ND0437 — NatHornerValue · ND0438 — NatRowHornerPrefix · ND0421 — NatWeightedSeriesTrace · ND0439 — NatPointwiseProductPrefix
Complete certificate and independent checks
276 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: 574be3227d697f0533ee581f7baa664dcfca27230214e8992f1bab97fe4e3aaf
Bundle SHA-256: 101556adbd46ec693ecb3f630be9b7a5471bb14b5135ef20121d61b54b2161dd
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.
CV004 · CV008 · CV009 · CV011 · CV019 · CV032 · CV037 · CV038 · CV039 · CV043 · CV044 · CV046 · CV047 · CV048 · CV049 · CV056 · CV057 · CV058 · CV059 · CV060
Scope
same witness whole support power trace weighted accumulation row values products and sum with exact denominator cleared monomial law not analytic exponential identity
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.