Theorems · Theorem · category theory

CategoryTheory.Presheaf.isSheaf_of_iso_iff

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] {A : Type u₂} [inst_1 : CategoryTheory.Category.{v₂, u₂} A]
  {J : CategoryTheory.GrothendieckTopology C} {P P' : CategoryTheory.Functor Cᵒᵖ A} (e : P ≅ P'),
  CategoryTheory.Presheaf.IsSheaf J P ↔ CategoryTheory.Presheaf.IsSheaf J P'

Defined in

Mathlib.CategoryTheory.Sites.Sheaf

Cited by

8 results in Mathlib

Foundations

Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Category