HA + independent Lean evidence · Research, not Alpha admission

ND0429 — NatHornerWeightedPrefix

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

Conservative definition

Parameters: ab, ac, wb, wc, qb, qc, N

∀ x. ∀ y. ∀ z. ∀ n. S x ≤ N → S y ≤ S (S x · ac) ∧ (∃ m. ab = m · S (S x · ac) + y) → S z ≤ S (S S x · wc) ∧ (∃ m. wb = m · S (S S x · wc) + z) → S n ≤ S (S x · qc) ∧ (∃ m. qb = m · S (S x · qc) + n) → n = y · z

Definition prerequisites

PD0013 · PD0002

Theorem uses (notation, not proof premises)

CV037 · CV039 · CV040 · CV042