Arguments cyclic_mxP {u v}.

(* Specifications: *)
Lemma cyclic_mx_id u : (u <= cyclic_mx u)%MS.
Lemma cyclic_mx_module u : mxmodule (cyclic_mx u).
Lemma cyclic_mx_sub m u (W : 'M_(m, n)) :
mxmodule W -> (u <= W)%MS -> (cyclic_mx u <= W)%MS.
Lemma hom_cyclic_mx u f :
(u <= dom_hom_mx f)%MS -> (cyclic_mx u *m f :=: cyclic_mx (u *m f))%MS.