HA + independent Lean evidence · Research, not Alpha admission

PD0018 — Range

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

Conservative definition

Parameters: b, c, a, l

forall ff_i_defined_range. (exists ff_lt_defined_range_bound. ff_lt_defined_range_bound + S ff_i_defined_range = l) -> (((exists ff_h_defined_range_decoded. ff_h_defined_range_decoded + S (a + ff_i_defined_range) = S ((S (ff_i_defined_range)) * c)) /\ exists ff_q_defined_range_decoded. b = ff_q_defined_range_decoded * S ((S (ff_i_defined_range)) * c) + (a + ff_i_defined_range)))

Definition prerequisites

PD0002 · PD0013

Theorem uses (notation, not proof premises)