Theorems · Theorem · group theory
dvd_mul
∀ {α : Type u_1} [inst : CommSemigroup α] [DecompositionMonoid α] {k m n : α},
k ∣ m * n ↔ ∃ d₁ d₂, d₁ ∣ m ∧ d₂ ∣ n ∧ k = d₁ * d₂- Defined in
- Mathlib.Algebra.Divisibility.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses propext
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- CommSemigroupstatement and proof · cited by 62
- DecompositionMonoidstatement and proof · cited by 39
- mul_dvd_mulproof · cited by 24
- exists_dvd_and_dvd_of_dvd_mulproof · cited by 6
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