Theorems · Theorem · category theory

CategoryTheory.OverPresheafAux.OverArrows.yonedaCollectionPresheafToA_val_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}
  (s : CategoryTheory.yoneda.obj X ⟶ A)
  (p : CategoryTheory.OverPresheafAux.OverArrows (CategoryTheory.OverPresheafAux.yonedaCollectionPresheafToA F) s),
  CategoryTheory.OverPresheafAux.YonedaCollection.fst p.val = s

Defined in

Mathlib.CategoryTheory.Comma.Presheaf.Basic

Cited by

4 results in Mathlib

Foundations

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

Assumes

CategoryTheory.Category