HA + independent Lean evidence · Research, not Alpha admission

AP062 — exp binary budget

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

Exact named statement

forall L K n B r p. Pow(L,K,B) ->
  Pow(2,n,r) ->
  Pow(2,S(L*K+n),p) ->
  ~r=0 /\ (~p=0 /\ Le(2*(r*B),p))

PD0020 — Pow · PD0001 — Le

Fully expanded target AST

Complete certificate and independent checks

129 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: b028bfcd3503ce1d69225b9daa26335368cc2a1d1388058cffbf5bd29ca99c55
Bundle SHA-256: 39d7d7a5d5dbff58bd1267471f3e1b6de19b268d0688a7806e0e8c278173e0ad

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

prove an explicit symbolic dyadic budget for arbitrary natural argument majorants by one ordinary power induction and actual power addition including zero base exponent and precision without large ground numerals

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