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Theorems · Theorem · group theory

Abelianization.lift_apply_of

∀ {G : Type u} [inst : Group G] {A : Type v} [inst_1 : CommGroup A] (f : G →* A) (x : G),
  (Abelianization.lift f) (Abelianization.of x) = f x
Defined in
Mathlib.GroupTheory.Abelianization.Defs
Cited by
1 results in Mathlib
Foundations
Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupCommGroup
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Around this declaration

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

FreeAbelianGroup.lift_apply_of · cited by 12FreeAbelianGroup.lift_app…DFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivGroup · cited by 6238GroupMonoidHom · cited by 3629MonoidHomCommGroup · cited by 990CommGroupAbelianization · cited by 32AbelianizationAbelianization.of · cited by 20Abelianization.ofAbelianization.lift · cited by 9Abelianization.liftAbelianization.lift_apply_ofCITED BYCITES

Cites8

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Cited by1

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