proposition: Lemma eqEdim U V : (U == V) = (U <= V)%VS && (\dim V <= \dim U).
proof: Proof. by apply/idP/andP=> [/eqP | [/dimv_leqif_eq/geq_leqif]] ->. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(fintype bigop finfun tuple) mathcomp(ssralg matrix mxalgebra zmodp)