Theorems · Definition · category theory
CategoryTheory.Abelian.Preradical.r
{C : Type u} →
[inst : CategoryTheory.Category.{v, u} C] → CategoryTheory.Abelian.Preradical C → CategoryTheory.Functor C CThe underlying endofunctor r : C ⥤ C of a preradical Φ.
- Cited by
- 23 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CategoryTheory.Category
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
- CategoryTheory.Functorstatement · cited by 16,252
- CategoryTheory.ObjectProperty.FullSubcategory.objproof · cited by 1,316
- CategoryTheory.Over.leftproof · cited by 541
- CategoryTheory.Abelian.Preradicalstatement and proof · cited by 32
Cited by31
Results whose statement or proof uses this declaration.
- CategoryTheory.Abelian.Preradical.ιstatement · cited by 15
- CategoryTheory.Abelian.Preradical.colonπstatement · cited by 9
- CategoryTheory.Abelian.Preradical.colon_ι_app_π_appstatement · cited by 2
- CategoryTheory.Abelian.Preradical.isPullback_colonstatement · cited by 2
- CategoryTheory.Abelian.Preradical.toColon_hom_left_app_colon_ι_appstatement · 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