Theorems · Definition · category theory
CategoryTheory.Idempotents.Karoubi.Hom.f
{C : Type u_1} →
[inst : CategoryTheory.Category.{v_1, u_1} C] → {P Q : CategoryTheory.Idempotents.Karoubi C} → P.Hom Q → (P.X ⟶ Q.X)a morphism between the underlying objects
- Cited by
- 121 results in Mathlib
- Foundations
- Depth 3 from the axioms, rests on 10 definitions · uses no axioms
- 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
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.Idempotents.Karoubistatement and proof · cited by 233
- CategoryTheory.Idempotents.Karoubi.Xstatement · cited by 163
- CategoryTheory.Idempotents.Karoubi.Homstatement and proof · cited by 17
Cited by132
Results whose statement or proof uses this declaration.
- CategoryTheory.Idempotents.KaroubiKaroubi.inverseproof · cited by 10
- CategoryTheory.Idempotents.FunctorExtension₁.objproof · cited by 7
- CategoryTheory.Idempotents.Karoubi.comp_pstatement and proof · cited by 7
- CategoryTheory.Idempotents.Karoubi.hom_extstatement and proof · cited by 6
- CategoryTheory.Idempotents.Karoubi.p_compstatement and proof · cited by 6
- CategoryTheory.Idempotents.Karoubi.p_commstatement and proof · cited by 4
- CategoryTheory.Idempotents.Karoubi.inclusionHomproof · cited by 3
- CategoryTheory.Idempotents.KaroubiFunctorCategoryEmbedding.mapproof · cited by 3
- CategoryTheory.Idempotents.KaroubiKaroubi.counitIsoproof · cited by 3
- CategoryTheory.Idempotents.KaroubiUniversal₁.counitIsoproof · cited by 3
- CategoryTheory.Idempotents.Karoubi.Hom.commstatement · cited by 3