Theorems · Theorem · commutative algebra
Associates.factors_mul
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : UniqueFactorizationMonoid α] (a b : Associates α),
(a * b).factors = a.factors + b.factors- Cited by
- 4 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- Multisetstatement · cited by 2,627
- Nontrivialproof · cited by 2,416
- CommMonoidWithZerostatement and proof · cited by 913
- Irreduciblestatement · cited by 496
- UniqueFactorizationMonoidstatement and proof · cited by 279
- Associatesstatement and proof · cited by 210
- Associates.factorsstatement and proof · cited by 97
- Associates.FactorSetstatement · cited by 52
- Associates.FactorSet.prodproof · cited by 20
- WithTop.add_topproof · cited by 18
- Associates.factors_prodproof · cited by 9
Cited by4
Results whose statement or proof uses this declaration.
- Associates.count_mulproof · cited by 7
- Associates.factors_monoproof · cited by 3
- Associates.pow_factorsproof · cited by 1
- Associates.sup_mul_infproof · cited by 0