Theorems · Theorem · category theory

CategoryTheory.GrothendieckTopology.uliftYonedaEquiv_uliftYoneda_map

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (J : CategoryTheory.GrothendieckTopology C)
  [inst_1 : J.Subcanonical] {X Y : C} (f : X ⟶ Y),
  J.uliftYonedaEquiv ((CategoryTheory.GrothendieckTopology.uliftYoneda.{v', v, u} J).map f) = { down := f }

Defined in

Mathlib.CategoryTheory.Sites.Subcanonical

Cited by

3 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.GrothendieckTopology.Subcanonical