Definition given_an_element_Out : False := m X k.

(* Specifications: *)
Theorem has_geq_1_elements_th1 : forall (A X : Ens) (k : IN X A), has_geq_1_elements A.
Theorem Singletons_have_geq_1_elements : forall X : Ens, has_geq_1_elements (Singleton X).