Theorems · Theorem · commutative algebra
Associates.prod_add
∀ {α : Type u_1} [inst : CommMonoidWithZero α] (a b : Associates.FactorSet α), (a + b).prod = a.prod * b.prod- Cited by
- 2 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- WithTopproof · cited by 3,754
- Multisetstatement and proof · cited by 2,627
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- WithTop.someproof · cited by 1,128
- CommMonoidWithZerostatement and proof · cited by 913
- Multiset.mapproof · cited by 876
- Multiset.prodproof · cited by 528
- Irreduciblestatement and proof · cited by 496
- Associatesstatement and proof · cited by 210
- Associates.FactorSetstatement and proof · cited by 52
Cited by2
Results whose statement or proof uses this declaration.
- Associates.factors_mulproof · cited by 4
- Associates.sup_mul_infproof · cited by 0