proposition: Proposition double_cat_to_is_predoublecategory_hor : is_predoublecategory_hor double_cat_to_predoublecategory_hor_precat_data.
proof: Proof. repeat split. - intro ; intros ; cbn. apply id_left. - intro ; intros ; cbn. apply id_right. - intro ; intros ; cbn. apply assoc. - intro ; intros ; cbn. apply assoc'. Defined.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Isos UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence UniMath.Bicategories.Core.Bicat UniMath.Bicategories.DoubleCategories.Basics.DoubleCategoryBasics UniMath.Bicategories.DoubleCategories.Core.BicatOfDoubleCats UniMath.Bicategories.DoubleCategories.Core.DoubleCats UniMath.Bicategories.DoubleCategories.Core.UnivalentDoubleCats UniMath.Bicategories.DoubleCategories.AlternativeDefinitions.DoubleCatsUnfolded