Exact named statement
∀ x. ∀ y. ∀ z. ¬z = 0 → ¬z = 0 ∧ (¬z = 0 ∧ x · z + y · z = y · z + x · z)No displayed named abbreviation.
Complete certificate and independent checks
1 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: e722f9ad9273a9bda607c55d52fa50d9db3ce71149d160f14a6a76ad24abbd63
Bundle SHA-256: 7417b07b645044b957b2977ee93d9769fb144f10622c64d29e3e22053fa0976f
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
full named rational foundation not IR001
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.