Theorems · Definition · category theory
AddCommGrpCat.FilteredColimits.colimit
{J : Type v} →
[inst : CategoryTheory.SmallCategory J] →
[CategoryTheory.IsFiltered J] → CategoryTheory.Functor J AddCommGrpCat → AddCommGrpCatThe bundled additive commutative group giving the filtered colimit of a diagram.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Functorstatement and proof · cited by 16,252
- CategoryTheory.SmallCategorystatement and proof · cited by 480
- AddCommGrpCatstatement and proof · cited by 462
- CategoryTheory.IsFilteredstatement and proof · cited by 210
- AddCommGrpCat.ofproof · cited by 97
- AddGrpCat.carrierproof · cited by 67
- AddCommGrpCat.FilteredColimits.Gproof · cited by 0
Cited by4
Results whose statement or proof uses this declaration.
- ModuleCat.FilteredColimits.Mproof · cited by 8
- CategoryTheory.Limits.IsColimit.ι_smulproof · cited by 2
- AddCommGrpCat.FilteredColimits.colimitCoconeproof · cited by 1
- CategoryTheory.Limits.filteredColimitsModulestatement · cited by 1