Theorems · Theorem · category theory

CategoryTheory.Equivalence.sheafCongrPreregular_inverse_obj_obj_map

∀ {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.Preregular C] (A : Type u_3)
  [inst_3 : CategoryTheory.Category.{v_3, u_3} A] (e : C ≌ D)
  (X : CategoryTheory.Sheaf (CategoryTheory.regularTopology D) A) {X_1 Y : Cᵒᵖ} (f : X_1 ⟶ Y),
  ((CategoryTheory.Equivalence.sheafCongrPreregular A e).inverse.obj X).obj.map f = X.obj.map (e.functor.map f.unop).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.PreregularCategoryTheory.Category