Theorems · Theorem · number theory
ArithmeticFunction.cardDistinctFactors_eq_cardFactors_iff_squarefree
∀ {n : ℕ}, n ≠ 0 → (ArithmeticFunction.cardDistinctFactors n = ArithmeticFunction.cardFactors n ↔ Squarefree n)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- ArithmeticFunctionstatement · cited by 290
- Squarefreestatement · cited by 112
- Nat.primeFactorsListproof · cited by 105
- List.dedupproof · cited by 47
- ArithmeticFunction.cardFactorsstatement and proof · cited by 22
- ArithmeticFunction.cardDistinctFactorsstatement and proof · cited by 13
- List.nodup_dedupproof · cited by 5
- Nat.squarefree_iff_nodup_primeFactorsListproof · cited by 4
- ArithmeticFunction.cardDistinctFactors_applyproof · cited by 3
- List.Nodup.dedupproof · cited by 2
- List.dedup_sublistproof · cited by 2
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