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Theorems · Definition · category theory

MonCat.FilteredColimits.colimit

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

The bundled monoid giving the filtered colimit of a diagram.

Defined in
Mathlib.Algebra.Category.MonCat.FilteredColimits
Cited by
1 results in Mathlib
Foundations
Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.SmallCategoryCategoryTheory.IsFiltered

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Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by7

Results whose statement or proof uses this declaration.