Exact named statement
forall ab ac L H J wb wc pb pc qb qc rb rc sb sc tb tc vb vc db dc eb ec N. Le(H,J) ->
NatPowerTrace(ab,ac,L,H,pb,pc,qb,qc,N) ->
NatPowerTrace(ab,ac,L,J,rb,rc,sb,sc,S N) ->
NatWeightedSeriesTrace(H,wb,wc,pb,pc,qb,qc,tb,tc,vb,vc,S N) ->
NatWeightedSeriesTrace(J,wb,wc,rb,rc,sb,sc,db,dc,eb,ec,S N) ->
forall k ub uc fb fc i a. Le(k,S N) ->
NatPowerRow(tb,tc,vb,vc,k,ub,uc) ->
NatPowerRow(db,dc,eb,ec,k,fb,fc) ->
Lt(i,H) ->
BetaAt(ub,uc,i,a) ->
BetaAt(fb,fc,i,a)PD0001 — Le · PD0002 — Lt · PD0013 — BetaAt · ND0405 — NatPowerRow · ND0407 — NatPowerTrace · ND0421 — NatWeightedSeriesTrace
Complete certificate and independent checks
55 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: f7c56ab23847715134689855bfe86d7d7162eddbd0c52f9112dda1a9a5a89e2b
Bundle SHA-256: 84fb9a7149a02574f575743f16e812568cf10e8c19c03e451a785ffeac535d55
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
supplied power depths N and N plus one transport all N plus one weighted accumulation rows by explicit large trace restriction and consumed row agreement with same input and weights
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.