HA + independent Lean evidence · Research, not Alpha admission

ND0410 — NatEulerPrefix

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

Conservative definition

Parameters: ab, ac, db, dc, L

∀ x. ∀ y. S x ≤ L → S y ≤ S (S x · ac) ∧ (∃ z. ab = z · S (S x · ac) + y) → S (x · y) ≤ S (S x · dc) ∧ (∃ z. db = z · S (S x · dc) + x · y)

Definition prerequisites

PD0002 · PD0013

Theorem uses (notation, not proof premises)

CV007 · CV017 · CV021 · CV024 · CV026 · CV028 · CV029 · CV031 · CV034