Theorems · Theorem · group theory
AddSubmonoid.LocalizationMap.toAddMonoidHom_injective
∀ {M : Type u_1} [inst : AddCommMonoid M] {S : AddSubmonoid M} {N : Type u_2} [inst_1 : AddCommMonoid N],
Function.Injective AddSubmonoid.LocalizationMap.toAddMonoidHom- Cited by
- 1 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- AddCommMonoidAddCommMonoid
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
- AddCommMonoidstatement and proof · cited by 12,281
- AddMonoidHomstatement and proof · cited by 3,230
- AddSubmonoidstatement and proof · cited by 1,178
- AddHomproof · cited by 294
- AddHom.toFunproof · cited by 168
- AddSubmonoid.LocalizationMapstatement and proof · cited by 119
- AddSubmonoid.LocalizationMap.toAddMonoidHomstatement and proof · cited by 29
- AddSubmonoid.IsLocalizationMapproof · cited by 18
- AddHom.extproof · cited by 15
- AddSubmonoid.LocalizationMap.isLocalizationMapproof · cited by 5
- AddSubmonoid.LocalizationMap.toAddHomproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- AddSubmonoid.LocalizationMap.addEquivOfLocalizations_right_invproof · cited by 1