Theorems · Theorem · category theory

CategoryTheory.GrothendieckTopology.uliftYonedaIsoYoneda_hom_app_hom_app_hom_apply

∀ {C : Type u} [inst : CategoryTheory.Category.{max w v, u} C] (J : CategoryTheory.GrothendieckTopology C)
  [inst_1 : J.Subcanonical] (X : C) (X_1 : Cᵒᵖ) (x : ULift.{w, max v w} (Opposite.unop X_1 ⟶ X)),
  (CategoryTheory.ConcreteCategory.hom ((J.uliftYonedaIsoYoneda.hom.app X).hom.app X_1)) x = x.down

Defined in

Mathlib.CategoryTheory.Sites.Canonical

Cited by

0 results in Mathlib

Foundations

Depth 52 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.GrothendieckTopology.Subcanonical