AP072 — exp integer majorant — irrationality research

Exact named statement

forall L d N tb tc h s C. ~d=0 ->
  NatScaledExpRecurrence(d,L*d,tb,tc,N) ->
  BetaAt(tb,tc,0,h) ->
  Sum(tb,tc,S N,s) ->
  Pow(9,S L,C) ->
  Le(s,C*h)

PD0001 — Le · PD0013 — BetaAt · PD0015 — Sum · PD0020 — Pow · ND0443 — NatScaledExpRecurrence

Fully expanded target AST

Complete certificate and independent checks

267 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: 0c8801ad08d671c34b8ab3b48766c6133267c4b5abfd1b796eb18c6422b8d237
Bundle SHA-256: 9211e4b07e0c954f47f5621b318226c957dbe6d4b59a960dfe098b91fcefa839

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.

AP037 · AP038 · AP040 · AP041 · AP060 · AP071 · CV008 · CV009 · CV011 · CV022 · CV030 · CV043 · CV044 · CV046 · CV047 · CV048 · CV069 · CV070 · CV095

Scope

prove a horizon independent power majorant at every integer argument by ordinary induction and actual positive successor factor tables without assuming positivity of the supplied head or an analytic exponential

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