Theorems · Definition · category theory

CategoryTheory.Subobject.wideCospan

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.LocallySmall.{w, v₁, u₁} C] →
      [inst_2 : CategoryTheory.WellPowered.{w, v₁, u₁} C] →
        {A : C} →
          (s : Set (CategoryTheory.Subobject A)) →
            CategoryTheory.Functor
              (CategoryTheory.Limits.WidePullbackShape ↑(⇑(equivShrink (CategoryTheory.Subobject A)) '' s)) C

The "wide cospan" diagram, with a small indexing type, constructed from a set of subobjects. (This is just the diagram of all the subobjects pasted together, but using WellPowered C to make the diagram small.)

Defined in

Mathlib.CategoryTheory.Subobject.Lattice

Cited by

4 results in Mathlib

Foundations

Depth 38 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.LocallySmallCategoryTheory.WellPowered