Theorems · Definition · category theory

CategoryTheory.createsColimitOfNatIso

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {J : Type w} →
          [inst_2 : CategoryTheory.Category.{w', w} J] →
            {K : CategoryTheory.Functor J C} →
              {F G : CategoryTheory.Functor C D} →
                (F ≅ G) → [CategoryTheory.CreatesColimit K F] → CategoryTheory.CreatesColimit K G

If F creates the colimit of K and F ≅ G, then G creates the colimit of K.

Defined in

Mathlib.CategoryTheory.Limits.Creates

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CreatesColimit