Theorems · Theorem · number theory
ArithmeticFunction.cardDistinctFactors_apply
∀ {n : ℕ}, ArithmeticFunction.cardDistinctFactors n = n.primeFactorsList.dedup.length- Cited by
- 3 results in Mathlib
- Foundations
- Depth 78 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
- Nat.primeFactorsListstatement · cited by 105
- List.dedupstatement · cited by 47
- ArithmeticFunction.cardDistinctFactorsstatement · cited by 13
Cited by3
Results whose statement or proof uses this declaration.
- Nat.card_finMulAntidiag_of_squarefreeproof · cited by 1
- ArithmeticFunction.cardDistinctFactors_eq_one_iffproof · cited by 1
- ArithmeticFunction.cardDistinctFactors_eq_cardFactors_iff_squarefreeproof · cited by 0