Theorems · Definition · category theory

CategoryTheory.OverPresheafAux.YonedaCollection.fst

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {A : CategoryTheory.Functor Cᵒᵖ (Type v)} →
      {F : CategoryTheory.Functor (CategoryTheory.CostructuredArrow CategoryTheory.yoneda A)ᵒᵖ (Type v)} →
        {X : C} → CategoryTheory.OverPresheafAux.YonedaCollection F X → (CategoryTheory.yoneda.obj X ⟶ A)

Access the first component of an element of YonedaCollection F X.

Defined in

Mathlib.CategoryTheory.Comma.Presheaf.Basic

Cited by

23 results in Mathlib

Foundations

Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category