fact: Definition apsetwith2binop_apsetwithbinop1 : apsetwithbinop := (pr1 X) ,, (pr1 (pr2 X)).
imports: UniMath.Algebra.BinaryOperations UniMath.Foundations.Propositions UniMath.MoreFoundations.Sets UniMath.MoreFoundations.Tactics UniMath.MoreFoundations.DecidablePropositions