Theorems · Theorem · category theory

CategoryTheory.GrothendieckTopology.uliftYonedaEquiv_symm_map

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (J : CategoryTheory.GrothendieckTopology C)
  [inst_1 : J.Subcanonical] {X Y : Cᵒᵖ} (f : X ⟶ Y) {F : CategoryTheory.Sheaf J (Type (max v v'))} (t : F.obj.obj X),
  J.uliftYonedaEquiv.symm ((CategoryTheory.ConcreteCategory.hom (F.obj.map f)) t) =
    CategoryTheory.CategoryStruct.comp ((CategoryTheory.GrothendieckTopology.uliftYoneda.{v', v, u} J).map f.unop)
      (J.uliftYonedaEquiv.symm t)

Defined in

Mathlib.CategoryTheory.Sites.Subcanonical

Cited by

0 results in Mathlib

Foundations

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

Assumes

CategoryTheory.CategoryCategoryTheory.GrothendieckTopology.Subcanonical