IR016 — ir016

Exact named statement

∀ x. ∀ y. x · x = 2 · y · y → x = 0 ∧ y = 0

No displayed named abbreviation.

Fully expanded target AST

Complete certificate and independent checks

182 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: a1aaa15b01ead79382b92dff5be1ebd105745bc26b937451e73ecdec973209b7
Bundle SHA-256: c7404c8766489feb5bb9994621535bb10d07907566e3f7a586ec383b98eaa225

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

IR016 natural core not full irrationality

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