Exact named statement
forall ab ac L H K. NatZeroBefore(ab,ac,L,1) ->
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) ->
NatZeroBefore(ub,uc,H,k))PD0001 — Le · ND0405 — NatPowerRow · ND0407 — NatPowerTrace · ND0408 — NatZeroBefore
Complete certificate and independent checks
131 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: db647ab11de25c9cae8ffd94e24655fd15cc955113f9e4a7f12ee383e21e224d
Bundle SHA-256: 364445bf362ce8746ce876026d69f22d8df264856ff4afda7b32a6940e196c0e
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 natural power tables vanish below exponent not composition IR079
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.