Theorems · Definition · category theory
CategoryTheory.Idempotents.Karoubi.X
{C : Type u_1} → [inst : CategoryTheory.Category.{v_1, u_1} C] → CategoryTheory.Idempotents.Karoubi C → Can object of the underlying category
- Cited by
- 163 results in Mathlib
- Foundations
- Depth 2 from the axioms, rests on 3 definitions · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
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.Idempotents.Karoubistatement and proof · cited by 233
Cited by185
Results whose statement or proof uses this declaration.
- CategoryTheory.Idempotents.Karoubi.Hom.fstatement · cited by 121
- CategoryTheory.Idempotents.Karoubi.pstatement · cited by 94
- CategoryTheory.Idempotents.Karoubi.decompId_istatement · cited by 12
- CategoryTheory.Idempotents.Karoubi.decompId_pstatement · 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.hom_extstatement · cited by 6