HA + independent Lean evidence · Research, not Alpha admission

CV086 — ternary atanh bound

Full irrationality (IR072/G121) remains open. Stable: 432. Alpha v35: 4,318. This checkpoint changes neither catalogue.

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

Fully expanded target AST

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.