Exact named statement
forall N. exists d ab ac. ~d=0 /\ (NatAtanhPrefix(d,ab,ac,N) /\ NatZeroBefore(ab,ac,N,1))Complete certificate and independent checks
108 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: 6a235e46d7ff57ccd23bfc381f5c48d024d739de8f78abded4fd58a37aea8dbd
Bundle SHA-256: 13c0d9f6839971d10e598ca6718963146822e77ed913e89d536ffa541e01f441
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 denominator cleared odd reciprocal prefix not logarithm identity
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.