Theorems · Inductive type · category theory

CategoryTheory.Limits.PreservesFilteredColimitsOfSize

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} → [inst_1 : CategoryTheory.Category.{v₂, u₂} D] → CategoryTheory.Functor C D → Prop

PreservesFilteredColimitsOfSize.{w', w} F means that F sends all colimit cocones over any filtered diagram J ⥤ C to colimit cocones, where J : Type w with [Category.{w'} J].

Defined in

Mathlib.CategoryTheory.Limits.Preserves.Filtered

Cited by

31 results in Mathlib

Foundations

Depth 2 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category