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Theorems · Theorem · group theory

AddSubmonoid.LocalizationMap.AwayMap.lift_eq

∀ {A : Type u_4} [inst : AddCommMonoid A] (x : A) {B : Type u_5} [inst_1 : AddCommMonoid B]
  (F : AddSubmonoid.LocalizationMap.AwayMap x B) {C : Type u_6} [inst_2 : AddCommMonoid C] {g : A →+ C}
  (hg : IsAddUnit (g x)) (a : A), (AddSubmonoid.LocalizationMap.AwayMap.lift x F hg) (F a) = g a
Defined in
Mathlib.GroupTheory.MonoidLocalization.Away
Cited by
0 results in Mathlib
Foundations
Depth 50 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidAddCommMonoidAddCommMonoid
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DFunLike.coe · cited by 62936DFunLike.coeAddCommMonoid · cited by 12281AddCommMonoidAddMonoidHom · cited by 3230AddMonoidHomIsAddUnit · cited by 215IsAddUnitAddSubmonoid.multiples · cited by 40AddSubmonoid.multiplesAddSubmonoid.LocalizationMap.lift_eq · cited by 8LocalizationMap.lift_eqAddSubmonoid.LocalizationMap.AwayMap.lift · cited by 2AwayMap.liftAddSubmonoid.LocalizationMap.AwayMap · cited by 2LocalizationMap.AwayMapAwayMap.lift_eqCITED BYCITES

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