Theorems · Theorem · category theory

CategoryTheory.Sheaf.image_obj

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.GrothendieckTopology C}
  {F F' : CategoryTheory.Sheaf J (Type w)} (f : F ⟶ F'),
  (CategoryTheory.Sheaf.image f).obj =
    (CategoryTheory.Subfunctor.sheafify J (CategoryTheory.Subfunctor.range f.hom)).toFunctor

Defined in

Mathlib.CategoryTheory.Sites.Subsheaf

Cited by

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Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category