Theorems · Theorem · category theory

CategoryTheory.Functor.IsCardinalAccessible.preservesColimitOfShape

∀ {C : Type u₁} {inst : CategoryTheory.Category.{v₁, u₁} C} {D : Type u₂} {inst_1 : CategoryTheory.Category.{v₂, u₂} D}
  {F : CategoryTheory.Functor C D} (κ : Cardinal.{w}) {inst_2 : Fact κ.IsRegular} [self : F.IsCardinalAccessible κ]
  (J : Type w) [inst_3 : CategoryTheory.SmallCategory J] [CategoryTheory.IsCardinalFiltered J κ],
  CategoryTheory.Limits.PreservesColimitsOfShape J F

Defined in

Mathlib.CategoryTheory.Presentable.Basic

Cited by

1 results in Mathlib

Foundations

Depth 21 from the axioms · uses Quot.sound

Assumes

CategoryTheory.Functor.IsCardinalAccessibleCategoryTheory.SmallCategoryCategoryTheory.IsCardinalFiltered