proposition: Lemma opp_karoubi_universal_eq' (g: op_cat (karoubi_envelope C) ⟦ c', opp_karoubi_ob_lift c ⟧) (H: f = # opp_karoubi_functor g · opp_karoubi_ob_lift_mor c) : g = opp_karoubi_universal_mor.
proof: Proof. apply karoubi_mor_eq. refine (_ @ !base_paths _ _ H). exact (!pr12 g). 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