Theorems · Theorem · number theory
ArithmeticFunction.cardDistinctFactors_eq_one_iff
∀ {n : ℕ}, ArithmeticFunction.cardDistinctFactors n = 1 ↔ IsPrimePow n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Finsetproof · cited by 13,712
- Finset.cardproof · cited by 2,327
- ArithmeticFunctionstatement · cited by 290
- Nat.primeFactorsListproof · cited by 105
- IsPrimePowstatement and proof · cited by 77
- List.dedupproof · cited by 47
- ArithmeticFunction.cardDistinctFactorsstatement · cited by 13
- List.card_toFinsetproof · cited by 5
- ArithmeticFunction.cardDistinctFactors_applyproof · cited by 3
- Nat.toFinset_factorsproof · cited by 3
- isPrimePow_iff_card_primeFactors_eq_oneproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ArithmeticFunction.cardDistinctFactors_apply_prime_powproof · cited by 1