Theorems · Definition · category theory

CategoryTheory.createsColimitsOfShapeOfEquiv

{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] →
            {J' : Type w₁} →
              [inst_3 : CategoryTheory.Category.{w'₁, w₁} J'] →
                (J ≌ J') →
                  (F : CategoryTheory.Functor C D) →
                    [CategoryTheory.CreatesColimitsOfShape J F] → CategoryTheory.CreatesColimitsOfShape J' F

If F creates colimits of shape J and J ≌ J', then F creates colimits of shape J'.

Defined in

Mathlib.CategoryTheory.Limits.Creates

Cited by

0 results in Mathlib

Foundations

Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CreatesColimitsOfShape