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Theorems · Definition · category theory

CategoryTheory.denseAtYoneda

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    (X : CategoryTheory.Functor Cᵒᵖ (Type v₁)) → CategoryTheory.yoneda.DenseAt X

yoneda is dense: Every X : Cᵒᵖ ⥤ Type v₁ is the colimit over CostructuredArrow.proj yoneda X ⋙ yoneda.

Defined in
Mathlib.CategoryTheory.Functor.KanExtension.Dense
Cited by
0 results in Mathlib
Foundations
Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Category

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