fact: Definition predoublecategory_hor_id_comp (C : predoublecategory_ob_mor_data): UU := (∏ c : C, c -h-> c) × (∏ a b c : C, a -h-> b -> b -h-> c -> a -h-> c).
imports: UniMath.Foundations.Propositions UniMath.Foundations.Sets UniMath.MoreFoundations.PartA UniMath.MoreFoundations.Notations UniMath.CategoryTheory.Core.Prelude UniMath.CategoryTheory.TwoSidedDisplayedCats.TwoSidedDispCat UniMath.CategoryTheory.TwoSidedDisplayedCats.Univalence