Exact named statement
forall d ab ac k y p. NatAtanhPrefix(d,ab,ac,S k) ->
NatHornerValue(ab,ac,3,S k,y) ->
Pow(3,S k,p) ->
Le(3*y+3*d,d*p)PD0001 — Le · PD0020 — Pow · ND0437 — NatHornerValue · ND0425 — NatAtanhPrefix
Complete certificate and independent checks
46 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: 7a0be8c3f072412b13318d7e4c22a5a86af4e3c3a1567ad788f60fc72b41a49a
Bundle SHA-256: 914f8df1b97d191c466fcb8decab245de1e5cb08bfbd9df904e403d18d09fb48
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 atanh prefix actual base three Horner value and power obey three y plus three d at most d times p by zero head bounded prefix induction no division or analytic limit
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.