Theorems · Theorem · number theory
Irreducible.moebius_eq
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : UniqueFactorizationMonoid α] {a : α},
Irreducible a → UniqueFactorizationMonoid.moebius a = -1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommMonoidWithZerostatement and proof · cited by 913
- pow_oneproof · cited by 894
- Irreduciblestatement and proof · cited by 496
- UniqueFactorizationMonoidstatement and proof · cited by 279
- UniqueFactorizationMonoid.moebiusstatement · cited by 10
- Irreducible.squarefreeproof · cited by 6
- Squarefree.moebius_eqproof · cited by 3
- UniqueFactorizationMonoid.card_factors_of_irreducibleproof · cited by 2
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