Theorems · Definition · category theory

CategoryTheory.Limits.IsColimit.equivIsoColimit

{J : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} J] →
    {C : Type u₃} →
      [inst_1 : CategoryTheory.Category.{v₃, u₃} C] →
        {F : CategoryTheory.Functor J C} →
          {r t : CategoryTheory.Limits.Cocone F} →
            (r ≅ t) → CategoryTheory.Limits.IsColimit r ≃ CategoryTheory.Limits.IsColimit t

Isomorphism of cocones preserves whether or not they are colimiting cocones.

Defined in

Mathlib.CategoryTheory.Limits.IsLimit

Cited by

7 results in Mathlib

Foundations

Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category