Module long.
Definition UU := Set.
Definition UU' := Type.
Definition hSet:= sigT (fun X : UU' => admit) .
Definition pr1hSet:= @projT1 UU (fun X : UU' => admit) : hSet -> Type.
Coercion pr1hSet: hSet >-> Sortclass.

Axiom binop : UU -> Type.
Axiom setwithbinop : Type.