Theorems · Theorem · commutative algebra
Associates.dvd_of_mem_factors
∀ {α : Type u_1} [inst : CommMonoidWithZero α] [inst_1 : UniqueFactorizationMonoid α] {a p : Associates α},
p ∈ a.factors → p ∣ a- Cited by
- 2 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- eq_or_neproof · cited by 1,117
- CommMonoidWithZerostatement and proof · cited by 913
- UniqueFactorizationMonoidstatement and proof · cited by 279
- Associatesstatement and proof · cited by 210
- Associates.mkproof · cited by 137
- Associates.factorsstatement and proof · cited by 97
- Multiset.mem_mapproof · cited by 72
- dvd_zeroproof · cited by 63
- Associates.FactorSetstatement and proof · cited by 52
- Associates.FactorSet.prodproof · cited by 20
- Associates.factors_mkproof · cited by 12
- Associates.factors_prodproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Associates.dvd_of_mem_factors'proof · cited by 2
- Associates.mem_factors_iff_dvdproof · cited by 0