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Theorems · Theorem · category theory

AddCommMonCat.free_map

∀ {X Y : Type u} (f : X ⟶ Y),
  AddCommMonCat.free.map f =
    AddCommMonCat.ofHom (Finsupp.mapDomain.addMonoidHom ⇑(CategoryTheory.ConcreteCategory.hom f))
Defined in
Mathlib.Algebra.Category.MonCat.Adjunctions
Cited by
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Foundations
Depth 76 from the axioms · uses propext, Classical.choice, 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.mapFinsupp · cited by 5255FinsuppCategoryTheory.ConcreteCategory.hom · cited by 4022ConcreteCategory.homTypeCat.Fun · cited by 1307TypeCat.FunAddCommMonCat · cited by 50AddCommMonCatAddCommMonCat.of · cited by 20AddCommMonCat.ofFinsupp.mapDomain.addMonoidHom · cited by 19mapDomain.addMonoidHomAddCommMonCat.ofHom · cited by 18AddCommMonCat.ofHomAddCommMonCat.free · cited by 2AddCommMonCat.freeAddCommMonCat.free_mapCITED BYCITES

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