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Theorems · Theorem · group theory

AddSubmonoid.LocalizationMap.addEquivOfLocalizations_symm_eq_addEquivOfLocalizations

∀ {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) {k : S.LocalizationMap P},
  (k.addEquivOfLocalizations f).symm = f.addEquivOfLocalizations k
Defined in
Mathlib.GroupTheory.MonoidLocalization.Maps
Cited by
0 results in Mathlib
Foundations
Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidAddCommMonoidAddCommMonoid
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AddCommMonoid · cited by 12281AddCommMonoidAddSubmonoid · cited by 1178AddSubmonoidAddEquiv · cited by 1087AddEquivAddEquiv.symm · cited by 530AddEquiv.symmAddSubmonoid.LocalizationMap · cited by 119AddSubmonoid.Localization…AddSubmonoid.LocalizationMap.addEquivOfLocalizations · cited by 8LocalizationMap.addEquivO…LocalizationMap.addEquivOfLoc…CITED BYCITES

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