End Components.

(* Specifications: *)
Lemma component_mx_isoP U V :
mxsimple U -> mxsimple V ->
reflect (mx_iso U V) (component_mx U == component_mx V).
Lemma component_mx_disjoint U V :
mxsimple U -> mxsimple V -> component_mx U != component_mx V ->
(component_mx U :&: component_mx V = 0)%MS.