Theorems · Definition · category theory

CategoryTheory.GrothendieckTopology.uliftYonedaEquiv

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    (J : CategoryTheory.GrothendieckTopology C) →
      [inst_1 : J.Subcanonical] →
        {X : C} →
          {F : CategoryTheory.Sheaf J (Type (max v v'))} →
            ((CategoryTheory.GrothendieckTopology.uliftYoneda.{v', v, u} J).obj X ⟶ F) ≃ F.obj.obj (Opposite.op X)

A version of yonedaEquiv for uliftYoneda.

Defined in

Mathlib.CategoryTheory.Sites.Subcanonical

Cited by

14 results in Mathlib

Foundations

Depth 49 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.GrothendieckTopology.Subcanonical