Theorems · Theorem · category theory

CategoryTheory.Adjunction.hasColimit_of_comp_equivalence

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {D : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} D]
  {J : Type u} [inst_2 : CategoryTheory.Category.{v, u} J] (K : CategoryTheory.Functor J C)
  (E : CategoryTheory.Functor C D) [E.IsEquivalence] [CategoryTheory.Limits.HasColimit (K.comp E)],
  CategoryTheory.Limits.HasColimit K

Defined in

Mathlib.CategoryTheory.Adjunction.Limits

Cited by

1 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Functor.IsEquivalenceCategoryTheory.Limits.HasColimit