Theorems · Theorem · number theory
Nat.Coprime.card_divisors_mul
∀ {m n : ℕ}, m.Coprime n → (m * n).divisors.card = m.divisors.card * n.divisors.card- Cited by
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- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finset.cardstatement · cited by 2,327
- Nat.divisorsstatement · cited by 137
- ArithmeticFunction.sigmaproof · cited by 40
- ArithmeticFunction.IsMultiplicative.map_mul_of_coprimeproof · cited by 9
- ArithmeticFunction.isMultiplicative_sigmaproof · cited by 5
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