Theorems · Definition · category theory

CategoryTheory.OverPresheafAux.counitForward

{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)) →
        (s : CategoryTheory.CostructuredArrow CategoryTheory.yoneda A) →
          F.obj (Opposite.op s) →
            CategoryTheory.OverPresheafAux.OverArrows (CategoryTheory.OverPresheafAux.yonedaCollectionPresheafToA F)
              s.hom

Forward direction of the counit.

Defined in

Mathlib.CategoryTheory.Comma.Presheaf.Basic

Cited by

8 results in Mathlib

Foundations

Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category