Theorems · Definition · category theory

CategoryTheory.Limits.ColimitPresentation.Total.Hom.base

{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} →
              {P : (j : J) → CategoryTheory.Limits.ColimitPresentation (I j) (D.obj j)} →
                {k l : CategoryTheory.Limits.ColimitPresentation.Total P} → k.Hom l → (k.fst ⟶ l.fst)

The underlying morphism in the first component.

Defined in

Mathlib.CategoryTheory.Presentable.ColimitPresentation

Cited by

8 results in Mathlib

Foundations

Depth 5 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.Category