Exact named statement
∀ x. ∀ y. ∀ z. ∀ n. x · z = y → x · (n · z) = n · yNo 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: 5ab0ba252962549290db0651035439a1e1ab719b485f7c91893895b7a9ce8352
Bundle SHA-256: bfb83993603f8fc7413d0c87c264a030cb33d1859bacc853f278ad576545642c
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
P08 supporting leaf not full pilot
None of these finite arithmetic statements closes an IR campaign parent. The analytic identification, interpolation and final positive irrationality certificate remain open.