Definition folds_3_id_comp_eq := ∑ C : folds_3_ob_mor, ( (∏ a : C, a ⇒ a → UU) × (∏ (a b c : C), (a ⇒ b) → (b ⇒ c) → (a ⇒ c) → UU)) × ∏ a b : C, a ⇒ b → a ⇒ b → UU.
Require Import UniMath.Folds.UnicodeNotations. Require Import UniMath.Foundations.PartD. Require Import UniMath.Foundations.Propositions. Require Import UniMath.Foundations.Sets.