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Theorems · Theorem · category theory

AddGrpCat.toGrp_map

∀ {x x_1 : AddGrpCat} (f : x ⟶ x_1),
  AddGrpCat.toGrp.map f = GrpCat.ofHom (AddMonoidHom.toMultiplicative (AddGrpCat.Hom.hom f))
Defined in
Mathlib.Algebra.Category.Grp.EquivalenceGroupAddGroup
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Foundations
Depth 22 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 875MultiplicativeGrpCat · cited by 146GrpCatAddGrpCat · cited by 80AddGrpCatAddGrpCat.carrier · cited by 67AddGrpCat.carrierGrpCat.of · cited by 32GrpCat.ofGrpCat.ofHom · cited by 23GrpCat.ofHomAddMonoidHom.toMultiplicative · cited by 21AddMonoidHom.toMultiplica…AddGrpCat.Hom.hom · cited by 20Hom.homAddGrpCat.toGrp · cited by 4AddGrpCat.toGrpAddGrpCat.toGrp_mapCITED BYCITES

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