fact: Definition predoublecategory_ver_id_comp (C : predoublecategory_hor) : UU := (∏ c : C, c -v-> c) × (∏ a b c : C, a -v-> b -> b -v-> c -> a -v-> 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