Theorems · Definition · category theory
CategoryTheory.Idempotents.Karoubi.p
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] → (self : CategoryTheory.Idempotents.Karoubi C) → self.X ⟶ self.Xan endomorphism of the object
- Cited by
- 94 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 9 definitions · uses no axioms
- Assumes
- CategoryTheory.Category
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 · cited by 32,603
- CategoryTheory.Idempotents.Karoubistatement and proof · cited by 233
- CategoryTheory.Idempotents.Karoubi.Xstatement · cited by 163
Cited by114
Results whose statement or proof uses this declaration.
- CategoryTheory.Idempotents.Karoubi.decompId_iproof · cited by 12
- CategoryTheory.Idempotents.Karoubi.decompId_pproof · cited by 12
- CategoryTheory.Idempotents.KaroubiKaroubi.inverseproof · cited by 10
- CategoryTheory.Idempotents.Karoubi.idemstatement · cited by 8
- CategoryTheory.Idempotents.KaroubiFunctorCategoryEmbedding.objproof · cited by 8
- CategoryTheory.Idempotents.FunctorExtension₁.objproof · cited by 7
- CategoryTheory.Idempotents.Karoubi.comp_pstatement and proof · cited by 7
- CategoryTheory.Idempotents.Karoubi.p_compstatement and proof · cited by 6
- CategoryTheory.Idempotents.Karoubi.p_commstatement and proof · cited by 4
- CategoryTheory.Idempotents.Karoubi.Biproducts.biconeproof · cited by 4