Theorems · Theorem · commutative algebra
Associates.FactorSet.unique
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [UniqueFactorizationMonoid α] [Nontrivial α]
{p q : Associates.FactorSet α}, p.prod = q.prod → p = q- Cited by
- 5 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- Multisetproof · cited by 2,627
- Nontrivialstatement and proof · cited by 2,416
- WithTop.someproof · cited by 1,128
- CommMonoidWithZerostatement and proof · cited by 913
- Multiset.mapproof · cited by 876
- Irreducibleproof · cited by 496
- UniqueFactorizationMonoidstatement and proof · cited by 279
- Associatesstatement and proof · cited by 210
- Subtype.coe_injectiveproof · cited by 205
- WithTop.recTopCoeproof · cited by 107
- Subtype.coe_mkproof · cited by 81
Cited by5
Results whose statement or proof uses this declaration.
- Associates.factors_oneproof · cited by 6
- Associates.factors_mulproof · cited by 4
- Associates.prod_factorsproof · cited by 3
- Associates.factors_prime_powproof · cited by 2
- Associates.factors_selfproof · cited by 1