proposition: Lemma karoubi_envelope_has_homsets : has_homsets karoubi_envelope_data.
proof: Proof. intros m n. apply isaset_total2. - apply homset_property. - intro x. apply isasetaprop. apply isapropdirprod; apply homset_property. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Adjunctions.Core UniMath.CategoryTheory.Categories.HSET.Core UniMath.CategoryTheory.Categories.HSET.Univalence UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.Equivalences.Core UniMath.CategoryTheory.FunctorCategory UniMath.CategoryTheory.LeftKanExtension UniMath.CategoryTheory.Limits.Coequalizers UniMath.CategoryTheory.Limits.Graphs.Colimits UniMath.CategoryTheory.Limits.Equalizers UniMath.CategoryTheory.opp_precat UniMath.CategoryTheory.Presheaf UniMath.CategoryTheory.Retracts UniMath.CategoryTheory.whiskering UniMath.AlgebraicTheories.FundamentalTheorem.SurjectivePrecomposition