Exact named statement
forall H t wb wc pb pc qb qc K. exists rb rc sb sc vb vc zb zc s. NatWeightedSeriesTrace(H,wb,wc,pb,pc,qb,qc,rb,rc,sb,sc,K) /\ (NatRowHornerPrefix(pb,pc,qb,qc,t,H,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,H,s)))))PD0015 — Sum · ND0405 — NatPowerRow · ND0437 — NatHornerValue · ND0438 — NatRowHornerPrefix · ND0421 — NatWeightedSeriesTrace · ND0439 — NatPointwiseProductPrefix
Complete certificate and independent checks
137 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: f1e9ea342059786ba3af115a2f4d0613913410b92f8bc7dbd138144349c3b7b4
Bundle SHA-256: 9689e059b662da007e17f7ce588f1b8b57f671eca5beac3f9842410bc00e0fe5
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 actual weighted accumulation row values pointwise products and sum with every terminal row evaluating to that sum not analytic composition
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.