Theorems · Theorem · category theory

CategoryTheory.Sheaf.isLocallySurjective_iff_isIso

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] {J : CategoryTheory.GrothendieckTopology C}
  {F G : CategoryTheory.Sheaf J (Type w)} (f : F ⟶ G),
  CategoryTheory.Sheaf.IsLocallySurjective f ↔ CategoryTheory.IsIso (CategoryTheory.Sheaf.imageι f)

Defined in

Mathlib.CategoryTheory.Sites.LocallySurjective

Cited by

1 results in Mathlib

Foundations

Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category