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Theorems · Theorem · category theory

AddCommGrpCat.free_map_coe

∀ {α β : Type u} {f : α ⟶ β} (x : FreeAbelianGroup α),
  (CategoryTheory.ConcreteCategory.hom (AddCommGrpCat.free.map f)) x = ⇑(CategoryTheory.ConcreteCategory.hom f) <$> x
Defined in
Mathlib.Algebra.Category.Grp.Adjunctions
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Foundations
Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
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DFunLike.coe · cited by 62936DFunLike.coeQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.Functor.obj · cited by 19642Functor.objCategoryTheory.Functor.map · cited by 8698Functor.mapCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homAddMonoidHom · cited by 3230AddMonoidHomTypeCat.Fun · cited by 1307TypeCat.FunAddCommGrpCat · cited by 462AddCommGrpCatAddCommGrpCat.carrier · cited by 407AddCommGrpCat.carrierFreeAbelianGroup · cited by 82FreeAbelianGroupAddCommGrpCat.free · cited by 12AddCommGrpCat.freeAddCommGrpCat.free_map_coeCITED BYCITES

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