Theorems · Definition · category theory
MonCat.FilteredColimits.colimit
{J : Type v} →
[inst : CategoryTheory.SmallCategory J] → CategoryTheory.Functor J MonCat → [CategoryTheory.IsFiltered J] → MonCatThe bundled monoid giving the filtered colimit of a diagram.
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- CategoryTheory.IsFilteredstatement and proof · cited by 210
- MonCatstatement and proof · cited by 127
- MonCat.ofproof · cited by 22
- MonCat.FilteredColimits.Mproof · cited by 8
Cited by7
Results whose statement or proof uses this declaration.
- GrpCat.FilteredColimits.Gproof · cited by 6
- SemiRingCat.FilteredColimits.Rproof · cited by 3
- MonCat.FilteredColimits.coconeMorphismstatement · cited by 1
- MonCat.FilteredColimits.cocone_naturalitystatement · cited by 0
- MonCat.FilteredColimits.colimitCoconeproof · cited by 0
- MonCat.FilteredColimits.colimitDescstatement · cited by 0
- CommMonCat.FilteredColimits.Mproof · cited by 0