HA + independent Lean evidence · Research, not Alpha admission

ND0426 — NatScaledHornerStep

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

Conservative definition

Parameters: ab, ac, t, hb, hc, k

∃ x. ∃ y. S x ≤ S (S k · hc) ∧ (∃ z. hb = z · S (S k · hc) + x) ∧ (S y ≤ S (S k · ac) ∧ (∃ z. ab = z · S (S k · ac) + y) ∧ (S (t · x + y) ≤ S (S S k · hc) ∧ (∃ z. hb = z · S (S S k · hc) + (t · x + y))))

Definition prerequisites

PD0013

Theorem uses (notation, not proof premises)