Theorems · Theorem · number theory
ArithmeticFunction.moebius_apply_of_squarefree
∀ {n : ℕ}, Squarefree n → ArithmeticFunction.moebius n = (-1) ^ ArithmeticFunction.cardFactors n- Cited by
- 7 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- ArithmeticFunctionstatement · cited by 290
- Squarefreestatement and proof · cited by 112
- ArithmeticFunction.moebiusstatement · cited by 45
- ArithmeticFunction.cardFactorsstatement · cited by 22
Cited by7
Results whose statement or proof uses this declaration.
- ArithmeticFunction.moebius_mul_coe_zetaproof · cited by 4
- ArithmeticFunction.moebius_apply_primeproof · cited by 3
- ArithmeticFunction.isMultiplicative_moebiusproof · cited by 2
- ArithmeticFunction.abs_moebius_eq_one_of_squarefreeproof · cited by 1
- ArithmeticFunction.moebius_sq_eq_one_of_squarefreeproof · cited by 1
- ArithmeticFunction.moebius_apply_oneproof · cited by 0
- ArithmeticFunction.moebius_ne_zero_iff_squarefreeproof · cited by 0