Definition tightapSet_apSet (X : tightapSet) : apSet := pr1 X ,, (tightap_aprel (pr2 X)).
Require Import UniMath.Foundations.Propositions. Require Import UniMath.MoreFoundations.Sets. Require Import UniMath.MoreFoundations.Tactics. Require Import UniMath.MoreFoundations.DecidablePropositions.