Theorems · Definition · category theory

CategoryTheory.GrothendieckTopology.uliftYonedaIsoYoneda

{C : Type u} →
  [inst : CategoryTheory.Category.{max w v, u} C] →
    (J : CategoryTheory.GrothendieckTopology C) →
      [inst_1 : J.Subcanonical] → CategoryTheory.GrothendieckTopology.uliftYoneda.{w, max v w, u} J ≅ J.yoneda

If C is a category with [Category.{max w v} C], this is the isomorphism uliftYoneda.{w} (C := C) ≅ yoneda.

Defined in

Mathlib.CategoryTheory.Sites.Canonical

Cited by

2 results in Mathlib

Foundations

Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.GrothendieckTopology.Subcanonical