HA + independent Lean evidence · Research, not Alpha admission

ND0291 — BetaZeroExtend

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

Conservative definition

Parameters: b, c, L, i, a

(((exists pfa_gap_lowercontinuationinside. pfa_gap_lowercontinuationinside + S ((i)) = ((L))) /\ ((((exists ff_h_pfp_lowercontinuationentry. ff_h_pfp_lowercontinuationentry + S ((a)) = S ((S ((i))) * (c))) /\ exists ff_q_pfp_lowercontinuationentry. (b) = ff_q_pfp_lowercontinuationentry * S ((S ((i))) * (c)) + ((a))))))) \/ (((exists pfc_gap_lowercontinuationoutside. pfc_gap_lowercontinuationoutside+((L))=((i))) /\ ((((a))=0))))

Definition prerequisites

PD0002 · PD0001 · PD0013

Theorem uses (notation, not proof premises)

AP037 · CV013 · CV016 · CV046 · CV047 · CV050