Theorems · Theorem · number theory
ArithmeticFunction.moebius_apply_prime
∀ {p : ℕ}, Nat.Prime p → ArithmeticFunction.moebius p = -1- Cited by
- 3 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Nat.Primestatement and proof · cited by 2,059
- pow_oneproof · cited by 894
- ArithmeticFunctionstatement · cited by 290
- ArithmeticFunction.moebiusstatement · cited by 45
- ArithmeticFunction.moebius_apply_of_squarefreeproof · cited by 7
- Irreducible.squarefreeproof · cited by 6
- ArithmeticFunction.cardFactors_apply_primeproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- ArithmeticFunction.moebius_apply_prime_powproof · cited by 2
- ArithmeticFunction.not_LSeriesSummable_moebius_at_oneproof · cited by 1