Theorems · Theorem · category theory

CategoryTheory.Presheaf.coherentExtensiveEquivalence_unitIso_inv_app_hom_app

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] {A : Type u₃}
  [inst_1 : CategoryTheory.Category.{v₃, u₃} A] [inst_2 : CategoryTheory.Preregular C]
  [inst_3 : CategoryTheory.FinitaryExtensive C] [inst_4 : ∀ (X : C), CategoryTheory.Projective X]
  (X : CategoryTheory.Sheaf (CategoryTheory.coherentTopology C) A) (X_1 : Cᵒᵖ),
  (CategoryTheory.Presheaf.coherentExtensiveEquivalence.unitIso.inv.app X).hom.app X_1 =
    CategoryTheory.CategoryStruct.id (X.obj.obj X_1)

Defined in

Mathlib.CategoryTheory.Sites.Coherent.SheafComparison

Cited by

0 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.CategoryCategoryTheory.PreregularCategoryTheory.FinitaryExtensiveCategoryTheory.Projective