Theorems · Definition · category theory

CategoryTheory.liftColimit

{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 : CategoryTheory.Functor C D} →
                [CategoryTheory.CreatesColimit K F] →
                  {c : CategoryTheory.Limits.Cocone (K.comp F)} →
                    CategoryTheory.Limits.IsColimit c → CategoryTheory.Limits.Cocone K

liftColimit t is the cocone for K given by lifting the colimit t for K ⋙ F.

Defined in

Mathlib.CategoryTheory.Limits.Creates

Cited by

1 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.CreatesColimit