HA + independent Lean evidence · Research, not Alpha admission

AP014 — fixed precision threshold

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

Exact named statement

forall v. Pow(2,8,v) ->
  ~v=0 /\ Le(((9*3)+2),v)

PD0020 — Pow · PD0001 — Le

Fully expanded target AST

Complete certificate and independent checks

130 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: 2ec3a5c39030d975d8ddf79a41d7793afd4f5fdfd25bcd49657f7335af0fba3c
Bundle SHA-256: 79b74784f51a096ec9525ac54fbe9fce921049df06b0579fef8d1a44d2695eed

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.

AP010

Scope

actual supplied eighth power of two is positive and dominates the finite error constant via constructed fifth power and small ordinary HA arithmetic without unary 256 or new induction

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