Theorems · Definition · category theory

CategoryTheory.Pseudofunctor.toDescentData

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    (F : CategoryTheory.Pseudofunctor (CategoryTheory.LocallyDiscrete Cᵒᵖ) CategoryTheory.Cat) →
      {ι : Type t} →
        {S : C} →
          {X : ι → C} →
            (f : (i : ι) → X i ⟶ S) → CategoryTheory.Functor (↑(F.obj { as := Opposite.op S })) (F.DescentData f)

The functor F.obj (.mk (op S)) ⥤ F.DescentData f.

Defined in

Mathlib.CategoryTheory.Sites.Descent.DescentData

Cited by

21 results in Mathlib

Foundations

Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category