Theorems · Definition · category theory

CategoryTheory.imageUnopUnop

{C : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} C] →
    [inst_1 : CategoryTheory.Abelian C] →
      {A B : Cᵒᵖ} → (g : A ⟶ B) → Opposite.unop (CategoryTheory.Limits.image g) ≅ CategoryTheory.Limits.image g.unop

The image of g is the opposite of the image of g.unop.

Defined in

Mathlib.CategoryTheory.Abelian.Opposite

Cited by

1 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Abelian