Theorems · Theorem · group theory
Submonoid.LocalizationMap.toMonoidHom_injective
∀ {M : Type u_1} [inst : CommMonoid M] {S : Submonoid M} {N : Type u_2} [inst_1 : CommMonoid N],
Function.Injective Submonoid.LocalizationMap.toMonoidHom- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoidCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- MonoidHomstatement and proof · cited by 3,629
- Submonoidstatement and proof · cited by 3,086
- CommMonoidstatement and proof · cited by 2,264
- MulHomproof · cited by 299
- Submonoid.LocalizationMapstatement and proof · cited by 147
- MulHom.toFunproof · cited by 36
- Submonoid.LocalizationMap.toMonoidHomstatement and proof · cited by 33
- Submonoid.IsLocalizationMapproof · cited by 19
- MulHom.extproof · cited by 15
- Submonoid.LocalizationMap.isLocalizationMapproof · cited by 5
- Submonoid.LocalizationMap.toMulHomproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Submonoid.LocalizationMap.mulEquivOfLocalizations_right_invproof · cited by 1