Theorems · Theorem · number theory
Nat.divisors_mul
∀ (m n : ℕ), (m * n).divisors = m.divisors * n.divisors
The divisors of a product of natural numbers are the pointwise product of the divisors of the factors.
- Defined in
- Mathlib.Data.Finset.NatDivisors
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement · cited by 13,712
- Finset.extproof · cited by 565
- Finset.mulstatement · cited by 155
- Nat.divisorsstatement and proof · cited by 137
Cited by2
Results whose statement or proof uses this declaration.
- Nat.divisorsHomproof · cited by 4
- Nat.Coprime.divisors_mulproof · cited by 0