Module Exports.
Coercion sort : type >-> Sortclass.
Notation eqType := type.
Notation EqMixin := Mixin.
Notation EqType T m := (@Pack T m).
Notation "[ 'eqMixin' 'of' T ]" := (class _ : mixin_of T)
(at level 0, format "[ 'eqMixin'  'of'  T ]") : form_scope.
Notation "[ 'eqType' 'of' T 'for' C ]" := (@clone T C _ idfun id)
(at level 0, format "[ 'eqType'  'of'  T  'for'  C ]") : form_scope.
Notation "[ 'eqType' 'of' T ]" := (@clone T _ _ id id)
(at level 0, format "[ 'eqType'  'of'  T ]") : form_scope.
End Exports.
End Equality.
Export Equality.Exports.
Definition eq_op T := Equality.op (Equality.class T).

Lemma memPnC A x : reflect {in A, forall y, x != y} (x \notin A).