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Theorems · Theorem · group theory

AddSubmonoid.LocalizationMap.eq_iff_eq

∀ {M : Type u_1} [inst : AddCommMonoid M] {S : AddSubmonoid M} {N : Type u_2} [inst_1 : AddCommMonoid N] {P : Type u_3}
  [inst_2 : AddCommMonoid P] (f : S.LocalizationMap N) (g : S.LocalizationMap P) {x y : M}, f x = f y ↔ g x = g y
Defined in
Mathlib.GroupTheory.MonoidLocalization.Basic
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Foundations
Depth 22 from the axioms · uses propext, Quot.sound
Assumes
AddCommMonoidAddCommMonoidAddCommMonoid
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DFunLike.coe · cited by 62936DFunLike.coeAddCommMonoid · cited by 12281AddCommMonoidAddSubmonoid · cited by 1178AddSubmonoidAddSubmonoid.LocalizationMap · cited by 119AddSubmonoid.Localization…AddSubmonoid.LocalizationMap.eq_iff_exists · cited by 8LocalizationMap.eq_iff_ex…LocalizationMap.eq_iff_eqCITED BYCITES

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