Theorems · Definition · category theory

CategoryTheory.Limits.ColimitPresentation.Total

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : Type u_1} →
      {I : J → Type u_2} →
        [inst_1 : CategoryTheory.Category.{v_1, u_1} J] →
          [inst_2 : (j : J) → CategoryTheory.Category.{u_3, u_2} (I j)] →
            {D : CategoryTheory.Functor J C} →
              ((j : J) → CategoryTheory.Limits.ColimitPresentation (I j) (D.obj j)) → Type (max u_2 u_1)

The type underlying the category used in the construction of the composition of colimit presentations. This is simply Σ j, I j but with a different category structure.

Defined in

Mathlib.CategoryTheory.Presentable.ColimitPresentation

Cited by

20 results in Mathlib

Foundations

Depth 3 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category