Theorems · Definition · category theory

CategoryTheory.Limits.PreservesFiniteLimitsOfIsFilteredCostructuredArrowYonedaAux.functorToInterchange

{C : Type u} →
  [inst : CategoryTheory.SmallCategory C] →
    (A : CategoryTheory.Functor Cᵒᵖ (Type u)) →
      {J : Type} →
        [inst_1 : CategoryTheory.SmallCategory J] →
          CategoryTheory.Functor J Cᵒᵖ →
            CategoryTheory.Functor J
              (CategoryTheory.Functor (CategoryTheory.CostructuredArrow CategoryTheory.yoneda A) (Type u))

(Implementation) This is the bifunctor we will apply "filtered colimits commute with finite limits" to.

Defined in

Mathlib.CategoryTheory.Limits.Preserves.Presheaf

Cited by

5 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.SmallCategoryCategoryTheory.SmallCategory