HA + independent Lean evidence · Research, not Alpha admission

ND0440 — NatBoundedPrefix

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

Conservative definition

Parameters: ab, ac, D, N

∀ x. ∀ y. S x ≤ N → S y ≤ S (S x · ac) ∧ (∃ z. ab = z · S (S x · ac) + y) → y ≤ D

Definition prerequisites

PD0002 · PD0013 · PD0001

Theorem uses (notation, not proof premises)

CV065 · CV066 · CV074 · CV076 · CV089