Exact named statement
forall ab ac L H K. exists pb pc qb qc. NatPowerTrace(ab,ac,L,H,pb,pc,qb,qc,K) /\ (forall k ub uc. Le(k,K) ->
NatPowerRow(pb,pc,qb,qc,k,ub,uc) ->
NatZeroAfter(ub,uc,H,S(k*L)))PD0001 — Le · ND0405 — NatPowerRow · ND0407 — NatPowerTrace · ND0436 — NatZeroAfter
Complete certificate and independent checks
141 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: ef95e6269e88a485d4fd577edb6814ce45c9bf1f61fddfcc6aae499ce488e879
Bundle SHA-256: d80b5d0ed46e168bb40518f1fadabb7efc0c20f30639f2560994f933a91320e3
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 power trace with every row zero at and above one plus exponent times input length including unit and empty cases not evaluation or analytic identity
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.