Current library: Alpha v34, 4,223 checked-use theorems; Stable remains 432. Historical first admissions, original proof editions, and non-admitted aliases are preserved.
Definition in prerequisite notation
Even(n) ∧ z = 2 ∨ Odd(n) ∧ z = 1Only definitions earlier in this acyclic notation graph are used here.
Hygienic expanded first-order definition
(((exists mv_even_half_bottomlayereven. ((n)) = 2 * mv_even_half_bottomlayereven) /\ (((z)) = 2))) \/ (((exists mv_odd_half_bottomlayerodd. ((n)) = 2 * mv_odd_half_bottomlayerodd + 1) /\ (((z)) = 1)))The unchanged native kernel never receives this surface symbol. Binder-safe expansion produces only its existing first-order syntax.
Direct definition dependencies
Definitions depending on this notation
Checked theorems using this definition
MV0001 · alternating_signed_unit_existsMV0002 · alternating_signed_unit_functionalMV0003 · alternating_signed_unit_zeroMV0008 · mobius_from_squarefree_factor_countMV0009 · mobius_value_existsMV000A · mobius_squarefree_evaluationMV000B · mobius_value_functionalMV000D · mobius_oneMV0013 · alternating_signed_unit_successor_negatesMV0015 · mobius_fresh_prime_negates