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Theorems · Theorem · group theory

AddSubmonoid.LocalizationMap.isLocalizationMap

∀ {M : Type u_1} [inst : AddCommMonoid M] {S : AddSubmonoid M} {N : Type u_2} [inst_1 : AddCommMonoid N]
  (self : S.LocalizationMap N), S.IsLocalizationMap self.toFun
Defined in
Mathlib.GroupTheory.MonoidLocalization.Basic
Cited by
5 results in Mathlib
Foundations
Depth 8 from the axioms · uses no axioms
Assumes
AddCommMonoidAddCommMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

AddSubmonoid.LocalizationMap.map_addUnits · cited by 36LocalizationMap.map_addUn…AddSubmonoid.LocalizationMap.eq_iff_exists · cited by 8LocalizationMap.eq_iff_ex…AddSubmonoid.LocalizationMap.surj · cited by 7LocalizationMap.surjAddSubmonoid.LocalizationMap.exists_of_eq · cited by 1LocalizationMap.exists_of…AddSubmonoid.LocalizationMap.toAddMonoidHom_injective · cited by 1LocalizationMap.toAddMono…AddCommMonoid · cited by 12281AddCommMonoidAddSubmonoid · cited by 1178AddSubmonoidAddHom.toFun · cited by 168AddHom.toFunAddSubmonoid.LocalizationMap · cited by 119AddSubmonoid.Localization…AddSubmonoid.IsLocalizationMap · cited by 18AddSubmonoid.IsLocalizati…AddSubmonoid.LocalizationMap.toAddHom · cited by 3LocalizationMap.toAddHomLocalizationMap.isLocalizatio…CITED BYCITES

Cites6

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Cited by5

Results whose statement or proof uses this declaration.