Theorems · Theorem · category theory

CategoryTheory.HasExactColimitsOfShape.of_codomain_equivalence

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (J : Type u_1) [inst_1 : CategoryTheory.Category.{v_1, u_1} J]
  {D : Type u_2} [inst_2 : CategoryTheory.Category.{v_2, u_2} D] (e : C ≌ D)
  [inst_3 : CategoryTheory.Limits.HasColimitsOfShape J C] [CategoryTheory.HasExactColimitsOfShape J C],
  CategoryTheory.HasExactColimitsOfShape J D

Defined in

Mathlib.CategoryTheory.Abelian.GrothendieckAxioms.Basic

Cited by

1 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasColimitsOfShapeCategoryTheory.HasExactColimitsOfShape