Definition isUniversal {C:category} {X:[C^op,HSET]} {c:C} (x:c ⇒ X) := ∏ (c':C), isweq (λ f : c' --> c, x ⟲ f).
Require Import UniMath.Foundations.Preamble. Require Import UniMath.CategoryTheory.Core.Categories. Require Import UniMath.CategoryTheory.Core.Isos. Require Import UniMath.CategoryTheory.Core.Functors. Require Import UniMath.CategoryTheory.Core.Univalence. Require Import Require Import Require Import UniMath.MoreFoundations.Tactics.