Theorems · Theorem · category theory

CategoryTheory.Presieve.isSheaf_iso

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {P : CategoryTheory.Functor Cᵒᵖ (Type w)}
  (J : CategoryTheory.GrothendieckTopology C) {P' : CategoryTheory.Functor Cᵒᵖ (Type w)} (i : P ≅ P'),
  CategoryTheory.Presieve.IsSheaf J P → CategoryTheory.Presieve.IsSheaf J P'

The property of being a sheaf is preserved by isomorphism.

Defined in

Mathlib.CategoryTheory.Sites.SheafOfTypes

Cited by

4 results in Mathlib

Foundations

Depth 33 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category