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Theorems · Theorem · category theory

AddCommGrpCat.toCommGrp_map

∀ {x x_1 : AddCommGrpCat} (f : x ⟶ x_1),
  AddCommGrpCat.toCommGrp.map f = CommGrpCat.ofHom (AddMonoidHom.toMultiplicative (AddCommGrpCat.Hom.hom f))
Defined in
Mathlib.Algebra.Category.Grp.EquivalenceGroupAddGroup
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Foundations
Depth 23 from the axioms · uses propext, Quot.sound
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Around this declaration

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DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.map · cited by 8698Functor.mapEquiv · cited by 8337EquivMonoidHom · cited by 3629MonoidHomAddMonoidHom · cited by 3230AddMonoidHomMultiplicative · cited by 875MultiplicativeAddCommGrpCat · cited by 462AddCommGrpCatAddCommGrpCat.carrier · cited by 407AddCommGrpCat.carrierCommGrpCat · cited by 74CommGrpCatAddCommGrpCat.Hom.hom · cited by 72Hom.homCommGrpCat.of · cited by 28CommGrpCat.ofAddMonoidHom.toMultiplicative · cited by 21AddMonoidHom.toMultiplica…CommGrpCat.ofHom · cited by 19CommGrpCat.ofHomAddCommGrpCat.toCommGrp · cited by 4AddCommGrpCat.toCommGrpAddCommGrpCat.toCommGrp_mapCITED BYCITES

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