Theorems · Theorem · commutative algebra
Associates.prod_mono
∀ {α : Type u_1} [inst : CommMonoidWithZero α] {a b : Associates.FactorSet α}, a ≤ b → a.prod ≤ b.prod- Cited by
- 2 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommMonoidWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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 and proof · cited by 2,627
- le_reflproof · cited by 2,061
- WithTop.someproof · cited by 1,128
- CommMonoidWithZerostatement and proof · cited by 913
- Irreduciblestatement and proof · cited by 496
- Associatesstatement and proof · cited by 210
- top_uniqueproof · cited by 102
- WithTop.coe_le_coeproof · cited by 65
- Associates.FactorSetstatement and proof · cited by 52
- Associates.FactorSet.prodstatement and proof · cited by 20
- Multiset.map_le_mapproof · cited by 14
Cited by2
Results whose statement or proof uses this declaration.
- Associates.factors_leproof · cited by 2
- Associates.prod_leproof · cited by 0