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Theorems · Theorem · number theory

IsUnit.moebius_eq

∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : UniqueFactorizationMonoid α] {a : α},
  IsUnit a → UniqueFactorizationMonoid.moebius a = 1
Defined in
Mathlib.RingTheory.UniqueFactorizationDomain.Moebius
Cited by
0 results in Mathlib
Foundations
Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoidWithZeroUniqueFactorizationMonoid
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IsUnit · cited by 1602IsUnitCommMonoidWithZero · cited by 913CommMonoidWithZeroUniqueFactorizationMonoid · cited by 279UniqueFactorizationMonoidassociated_one_iff_isUnit · cited by 14associated_one_iff_isUnitUniqueFactorizationMonoid.moebius · cited by 10UniqueFactorizationMonoid…UniqueFactorizationMonoid.moebius_one · cited by 2UniqueFactorizationMonoid…Associated.moebius_eq · cited by 1Associated.moebius_eqIsUnit.moebius_eqCITED BYCITES

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