Theorems · Definition · category theory

CategoryTheory.imageUnopOp

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

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

Defined in

Mathlib.CategoryTheory.Abelian.Opposite

Cited by

6 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Abelian