Theorems · Theorem · category theory

CategoryTheory.Limits.hasColimitsOfShape_of_equivalence

∀ {J : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} J] {C : Type u} [inst_1 : CategoryTheory.Category.{v, u} C]
  {J' : Type u₂} [inst_2 : CategoryTheory.Category.{v₂, u₂} J'] (e : J ≌ J')
  [CategoryTheory.Limits.HasColimitsOfShape J C], CategoryTheory.Limits.HasColimitsOfShape J' C

We can transport colimits of shape J along an equivalence J ≌ J'.

Defined in

Mathlib.CategoryTheory.Limits.HasLimits

Cited by

22 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Limits.HasColimitsOfShape