Theorems · Definition · category theory
CategoryTheory.Preadditive.cokernelCoforkOfCofork
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] →
[inst_1 : CategoryTheory.Preadditive C] →
{X Y : C} → {f g : X ⟶ Y} → CategoryTheory.Limits.Cofork f g → CategoryTheory.Limits.CokernelCofork (f - g)Map any coequalizer cofork to a cocone on the difference of the two morphisms.
- Defined in
- Mathlib.CategoryTheory.Preadditive.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.Preadditivestatement and proof · cited by 3,309
- CategoryTheory.Limits.Cofork.πproof · cited by 164
- CategoryTheory.Limits.CokernelCoforkstatement · cited by 108
- CategoryTheory.Limits.Coforkstatement and proof · cited by 80
- CategoryTheory.Limits.Cofork.ofπproof · cited by 56
Cited by8
Results whose statement or proof uses this declaration.
- CategoryTheory.Preadditive.isColimitCoforkOfCokernelCoforkproof · cited by 4
- CategoryTheory.Preadditive.isColimitCokernelCoforkOfCoforkstatement and proof · cited by 2
- SSet.isColimitCokernelCoforkChainComplexDOneZeroproof · cited by 1
- CategoryTheory.Functor.preservesCoequalizer_of_preservesCokernelsproof · cited by 1
- CategoryTheory.Preadditive.cokernelCoforkOfCofork_πstatement · cited by 0
- CategoryTheory.Preadditive.isColimitCoforkOfCokernelCofork_descstatement · cited by 0
- CategoryTheory.Preadditive.hasCokernel_of_hasCoequalizerproof · cited by 0
- CategoryTheory.Preadditive.cokernelCoforkOfCofork_ofπstatement · cited by 0