Theorems · Theorem · number theory
ArithmeticFunction.abs_moebius
∀ {n : ℕ}, |ArithmeticFunction.moebius n| = if Squarefree n then 1 else 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 85 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 and proof · cited by 62,936
- absstatement and proof · cited by 1,814
- ArithmeticFunctionstatement · cited by 290
- Squarefreestatement and proof · cited by 112
- abs_zeroproof · cited by 88
- ArithmeticFunction.moebiusstatement and proof · cited by 45
- ArithmeticFunction.moebius_eq_zero_of_not_squarefreeproof · cited by 4
- ArithmeticFunction.abs_moebius_eq_one_of_squarefreeproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ArithmeticFunction.abs_moebius_le_oneproof · cited by 1