Definition folds_pre_3_cat := ∑ C : folds_3_id_comp_eq, (folds_ax_id C × folds_ax_comp C) × E_is_good_to_I_and_T C.
Require Import UniMath.Folds.UnicodeNotations. Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets.