Exact named statement
forall d e ab ac bb bc N t x y. NatAtanhPrefix(d,ab,ac,N) ->
NatAtanhPrefix(e,bb,bc,N) ->
NatHornerValue(ab,ac,t,N,x) ->
NatHornerValue(bb,bc,t,N,y) ->
e*x=d*yComplete certificate and independent checks
37 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: 5b80b161ea46bbe0cbcdef8789de98218d6c1dfc077ff0023320f077fe3d8bc1
Bundle SHA-256: 88406acbf3430be4143d97c26d2e1cb0a3f09d1a7b014add87323a1e08587074
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
two independently supplied atanh tables and horner values obey exact cross scale identity including zero scales base and empty prefix only proved nonzero odd index cancelled no code equality 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.