Theorems · Definition · category theory
CategoryTheory.Limits.CokernelCofork
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[CategoryTheory.Limits.HasZeroMorphisms C] → {X Y : C} → (X ⟶ Y) → Type (max u v)A cokernel cofork is just a cofork where the second morphism is a zero morphism.
- Cited by
- 108 results in Mathlib
- Foundations
- Depth 20 from the axioms, rests on 87 definitions · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Coforkproof · cited by 80
Cited by188
Results whose statement or proof uses this declaration.
- CategoryTheory.Limits.CokernelCofork.ofπstatement · cited by 77
- CategoryTheory.ShortComplex.LeftHomologyData.ofIsColimitCokernelCoforkstatement and proof · cited by 13
- CategoryTheory.ShortComplex.HomologyData.ofEpiMonoFactorisation.leftHomologyDatastatement and proof · cited by 12
- CategoryTheory.ShortComplex.isoOpcyclesOfIsColimitstatement and proof · cited by 12
- CategoryTheory.ShortComplex.RightHomologyData.ofIsColimitCokernelCoforkstatement and proof · cited by 12
- CategoryTheory.Limits.CokernelCofork.conditionstatement and proof · cited by 10
- CategoryTheory.ShortComplex.HomologyData.ofEpiMonoFactorisation.isoHomologystatement and proof · cited by 9
- CategoryTheory.Limits.CokernelCofork.IsColimit.desc'statement and proof · cited by 8
- CategoryTheory.Limits.CokernelCofork.isColimitMapCoconeEquivstatement and proof · cited by 7
- CategoryTheory.Limits.CokernelCofork.mapstatement and proof · cited by 7
- CategoryTheory.Limits.CokernelCofork.mapIsColimitstatement and proof · cited by 7
- CategoryTheory.Abelian.SpectralObject.SpectralSequence.HomologyData.ccstatement · cited by 6