Theorems · Theorem · category theory

CategoryTheory.Presheaf.coherentExtensiveEquivalence_functor_obj_obj

∀ {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),
  (CategoryTheory.Presheaf.coherentExtensiveEquivalence.functor.obj X).obj = X.obj

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