Exact named statement
((forall d i a. (NatAtanhCoefficient(d,i,a)) \/ ~(NatAtanhCoefficient(d,i,a)))) /\ (((forall ab ac t N v. (NatHornerValue(ab,ac,t,N,v)) \/ ~(NatHornerValue(ab,ac,t,N,v)))) /\ ((forall k d s. (DyadicSqrt2(k,d,s)) \/ ~(DyadicSqrt2(k,d,s)))))ND0446 — DyadicSqrt2 · ND0424 — NatAtanhCoefficient · ND0437 — NatHornerValue
Complete certificate and independent checks
146 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: 73143d6dbbcad9e7c4558786a63cf9abc8870be8c71abd9d934090ddb9501c21
Bundle SHA-256: 541015fd0e99e2c907df19bcb07a173646ac30354ddda32986fab3b496091d71
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
constructively decide the actual individual logarithm coefficient Horner value and dyadic square root computation graphs for all inputs including invalid candidates without new induction or a complete CApprox verifier claim
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.