Theorems · Theorem · commutative algebra
Submonoid.LocalizationMap.uniqueFactorizationMonoid
∀ {M : Type u_1} {N : Type u_2} [inst : CommMonoidWithZero M] [inst_1 : CommMonoidWithZero N] {S : Submonoid M}
(f : S.LocalizationMap N) [UniqueFactorizationMonoid M], UniqueFactorizationMonoid N- Cited by
- 1 results in Mathlib
- Foundations
- Depth 36 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites37
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Submonoidstatement and proof · cited by 3,086
- Multisetproof · cited by 2,627
- map_zeroproof · cited by 1,614
- IsUnitproof · cited by 1,602
- CommMonoidWithZerostatement and proof · cited by 913
- Multiset.mapproof · cited by 876
- Multiset.prodproof · cited by 528
- Associatedproof · cited by 296
- UniqueFactorizationMonoidstatement and proof · cited by 279
- Primeproof · cited by 277
- IsCancelMulZeroproof · cited by 177
Cited by1
Results whose statement or proof uses this declaration.
- UniqueFactorizationMonoid.of_isLocalizationproof · cited by 1