fact: Definition predoublecategory : UU := ∑ (C:predoublecategory_sq_hor_ver_unit_assoc_data), ( (predoublecategory_ver_left_unitor_naturality C) × (predoublecategory_ver_right_unitor_naturality C) × (predoublecategory_ver_assoc_naturality C) × (predoublecategory_ver_unitor_coherence C) × (predoublecategory_ver_assoc_coherence C) × (predoublecategory_interchange 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