Exact named statement
∀ x. ∀ y. ∀ z. ∀ n. ¬z = 0 → ¬z = 0 ∧ (¬z = 0 ∧ x · z + (y + n) · z = y · z + (x + n) · 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: 75ff1c4c0f8885d395438dd9f33aaf6274d3fd1e4d34e982a9db50255d05105e
Bundle SHA-256: 2a65c3ea35af78fb33f9939d215a4a11169112140ba30faa0726a22ec2d51db7
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.