Theorems · Theorem · category theory

CategoryTheory.Equivalence.sheafCongrPrecoherent_counitIso_hom_app_hom_app

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {D : Type u_2}
  [inst_1 : CategoryTheory.Category.{v_2, u_2} D] [inst_2 : CategoryTheory.Precoherent C] (A : Type u_3)
  [inst_3 : CategoryTheory.Category.{v_3, u_3} A] (e : C ≌ D)
  (X : CategoryTheory.Sheaf (CategoryTheory.coherentTopology D) A) (X_1 : Dᵒᵖ),
  ((CategoryTheory.Equivalence.sheafCongrPrecoherent A e).counitIso.hom.app X).hom.app X_1 =
    X.obj.map (e.counitIso.inv.app (Opposite.unop X_1)).op

Defined in

Mathlib.CategoryTheory.Sites.Coherent.Equivalence

Cited by

0 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.PrecoherentCategoryTheory.Category