Theorems · Definition · category theory
CategoryTheory.Limits.cokernel
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Limits.HasZeroMorphisms C] →
{X Y : C} → (f : X ⟶ Y) → [CategoryTheory.Limits.HasCokernel f] → CThe cokernel of a morphism, expressed as the coequalizer with the 0 morphism.
- Cited by
- 229 results in Mathlib
- Foundations
- Depth 21 from the axioms, rests on 97 definitions · uses propext, Classical.choice
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Limits.HasZeroMorphismsstatement and proof · cited by 3,275
- CategoryTheory.Limits.HasCokernelstatement and proof · cited by 131
- CategoryTheory.Limits.coequalizerproof · cited by 79
Cited by305
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.cokernel.πstatement · cited by 194
- CategoryTheory.Abelian.SpectralObject.opcyclesproof · cited by 106
- CategoryTheory.Abelian.imagestatement · cited by 57
- CategoryTheory.Limits.cokernel.descstatement · cited by 53
- CategoryTheory.Limits.cokernel.conditionstatement · cited by 50
- CategoryTheory.Abelian.coimageproof · cited by 44
- CategoryTheory.Limits.cokernel.π_descstatement · cited by 37
- CategoryTheory.Abelian.image.ιstatement · cited by 25
- CategoryTheory.Limits.cokernel.mapstatement · cited by 23
- CategoryTheory.Limits.cokernelIsCokernelstatement · cited by 23
- CategoryTheory.Abelian.Preradical.quotientproof · cited by 20
- CategoryTheory.Abelian.factorThruImagestatement · cited by 20
Showing the 200 most cited of 305.