Theorems · Theorem · commutative algebra
Associates.prod_factors
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : UniqueFactorizationMonoid α] [Nontrivial α]
(s : Associates.FactorSet α), s.prod.factors = s- Cited by
- 3 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nontrivialstatement and proof · cited by 2,416
- CommMonoidWithZerostatement and proof · cited by 913
- UniqueFactorizationMonoidstatement and proof · cited by 279
- Associates.factorsstatement · cited by 97
- Associates.FactorSetstatement and proof · cited by 52
- Associates.FactorSet.prodstatement and proof · cited by 20
- Associates.factors_prodproof · cited by 9
- Associates.FactorSet.uniqueproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- Associates.is_pow_of_dvd_countproof · cited by 1
- Associates.prod_leproof · cited by 0
- Associates.sup_mul_infproof · cited by 0