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Theorems · Definition · category theory

AddCommGrpCat.FilteredColimits.G

{J : Type v} →
  [inst : CategoryTheory.SmallCategory J] →
    [CategoryTheory.IsFiltered J] → CategoryTheory.Functor J AddCommGrpCat → AddGrpCat

The colimit of F ⋙ forget₂ AddCommGrpCat AddGrpCat in the category AddGrpCat. In the following, we will show that this has the structure of a _commutative_ additive group.

Defined in
Mathlib.Algebra.Category.Grp.FilteredColimits
Cited by
0 results in Mathlib
Foundations
Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.SmallCategoryCategoryTheory.IsFiltered
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Around this declaration

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AddCommGrpCat.FilteredColimits.colimit · cited by 1FilteredColimits.colimitCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Functor.comp · cited by 6529Functor.compCategoryTheory.SmallCategory · cited by 480CategoryTheory.SmallCateg…AddCommGrpCat · cited by 462AddCommGrpCatCategoryTheory.forget₂ · cited by 260CategoryTheory.forget₂CategoryTheory.IsFiltered · cited by 210CategoryTheory.IsFilteredAddGrpCat · cited by 80AddGrpCatAddGrpCat.FilteredColimits.colimit · cited by 0FilteredColimits.colimitFilteredColimits.GCITED BYCITES

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