Theorems · Definition · category theory
CategoryTheory.Abelian.Preradical.quotient
{C : Type u_1} →
[inst : CategoryTheory.Category.{u_2, u_1} C] →
[CategoryTheory.Abelian C] → CategoryTheory.Abelian.Preradical C → CategoryTheory.Functor C CThe cokernel of Φ.ι : Φ.r ⟶ 𝟭 C.
- Cited by
- 20 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.Abelianstatement and proof · cited by 1,753
- CategoryTheory.Limits.cokernelproof · cited by 229
- CategoryTheory.Abelian.Preradicalstatement and proof · cited by 32
- CategoryTheory.Abelian.Preradical.ιproof · cited by 15
Cited by27
Results whose statement or proof uses this declaration.
- CategoryTheory.Abelian.Preradical.colonproof · cited by 13
- CategoryTheory.Abelian.Preradical.πstatement · cited by 10
- CategoryTheory.Abelian.Preradical.colonπstatement and proof · cited by 9
- CategoryTheory.Abelian.Preradical.colon_ι_app_π_appstatement · cited by 2
- CategoryTheory.Abelian.Preradical.isPullback_colonstatement and proof · cited by 2
- CategoryTheory.Abelian.Preradical.toColon_hom_left_app_colonπ_appstatement · cited by 2
- CategoryTheory.Abelian.Preradical.toColon_hom_left_colonπstatement · cited by 2
- CategoryTheory.Abelian.Preradical.ι_πstatement · cited by 2
- CategoryTheory.Abelian.Preradical.ι_π_appstatement · cited by 2
- CategoryTheory.Abelian.Preradical.isIso_toColon_hom_left_app_iffstatement and proof · cited by 1
- CategoryTheory.Abelian.Preradical.isIso_toColon_iffstatement and proof · cited by 1
- CategoryTheory.Abelian.Preradical.isLimitKernelForkObjstatement · cited by 1