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Theorems · Theorem · group theory

Abelianization.lift_of_comp

∀ {G : Type u} [inst : Group G] {H : Type v} [inst_1 : Group H] (f : G →* H),
  Abelianization.lift (Abelianization.of.comp f) = Abelianization.map f

Use map as the preferred simp normal form.

Defined in
Mathlib.GroupTheory.Abelianization.Defs
Cited by
0 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
GroupGroup
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DFunLike.coe · cited by 62936DFunLike.coeEquiv · cited by 8337EquivGroup · cited by 6238GroupMonoidHom · cited by 3629MonoidHomMonoidHom.comp · cited by 469MonoidHom.compAbelianization · cited by 32AbelianizationAbelianization.of · cited by 20Abelianization.ofAbelianization.lift · cited by 9Abelianization.liftAbelianization.map · cited by 5Abelianization.mapAbelianization.lift_of_compCITED BYCITES

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