Theorems · Theorem · number theory
ArithmeticFunction.cardDistinctFactors_apply_prime_pow
∀ {p k : ℕ}, Nat.Prime p → k ≠ 0 → ArithmeticFunction.cardDistinctFactors (p ^ k) = 1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- ArithmeticFunctionstatement · cited by 290
- ArithmeticFunction.cardDistinctFactorsstatement · cited by 13
- Nat.Prime.isPrimePowproof · cited by 5
- IsPrimePow.powproof · cited by 2
- ArithmeticFunction.cardDistinctFactors_eq_one_iffproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- ArithmeticFunction.cardDistinctFactors_apply_primeproof · cited by 0