CV002 — logexp recurrence — irrationality research

Exact named statement

forall b c L D i v. NatExpAtanhRecurrence(b,c,L,D) ->
  Lt(i,L) ->
  BetaAt(b,c,i,v) ->
  ((i=0 /\ v=D) \/ (exists k. i=S k /\ v=2*D))

PD0002 — Lt · PD0013 — BetaAt · ND0400 — NatExpAtanhRecurrence

Fully expanded target AST

Complete certificate and independent checks

31 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: 798208f708ff6a1d8a5d5d279698ac3f19608a2c01a96bd5059fa4b582a9520a
Bundle SHA-256: 3e66d595d6329dd0d7fd3cb22da62e34cce7ec4cf22f89624bec0f6917f94db1

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

all indices natural logexp recurrence solution not composition or analytic IR080

None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.