Theorems · Definition · category theory

CategoryTheory.imageFactorization

{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : CategoryTheory.GrothendieckTopology C} →
      {F F' : CategoryTheory.Sheaf J (Type (max v u))} → (f : F ⟶ F') → CategoryTheory.Limits.ImageFactorisation f

The mono factorization given by image_sheaf for a morphism is an image.

Defined in

Mathlib.CategoryTheory.Sites.Subsheaf

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.Category