HA + independent Lean evidence · Research, not Alpha admission

CV100 — exp truncation

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

Exact named statement

forall d x ab ac m N a0 s t p. ~d=0 ->
  Le(x,d) ->
  NatScaledExpRecurrence(d,x,ab,ac,(S m)+N) ->
  BetaAt(ab,ac,0,a0) ->
  Sum(ab,ac,S m,s) ->
  Sum(ab,ac,S((S m)+N),t) ->
  Pow(2,m,p) ->
  Le(s,t) /\ Le(p*t,p*s+2*a0)

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

Fully expanded target AST

Complete certificate and independent checks

155 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: 38cc1a427fdb362d86fb580c3b3a939ae9e62900f35876de3390a804f26294b2
Bundle SHA-256: a8288777d6ca50ce713634fdda4f018996ec8ff25566bf936657bfb3630e1e5d

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.

CV009 · CV068 · CV087 · CV088

Scope

supplied exponential recurrence head prefix and longer sum and actual cutoff power obey uniform finite truncation bound via constructed tail and actual affine sum uniqueness no infinite remainder assumption

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