Theorems · Definition · category theory

CategoryTheory.Preadditive.RightFreyd.Candidate.cokernel

{V : Type u_1} →
  [inst : CategoryTheory.Category.{v_1, u_1} V] →
    [inst_1 : CategoryTheory.Preadditive V] →
      [CategoryTheory.Limits.HasBinaryBiproducts V] → {u v : CategoryTheory.Arrow V} → (u ⟶ v) → CategoryTheory.Arrow V

If f is a morphism of Arrow V, this is a "candidate cokernel" of f, i.e. an object in Arrow V whose image in RightFreyd V will be a cokernel of the image of f.

Defined in

Mathlib.CategoryTheory.Preadditive.FreydCategory.RightFreyd

Cited by

2 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.PreadditiveCategoryTheory.Limits.HasBinaryBiproducts