proposition: Lemma lim0g U : (0 @: U = 0 :> {vspace rT})%VS.
proof: Proof. apply/eqP; rewrite -subv0; apply/subvP=> _ /memv_imgP[u _ ->]. by rewrite lfunE rpred0. Qed.
imports: HB(structures) mathcomp(ssreflect ssrfun ssrbool eqtype ssrnat seq choice) mathcomp(fintype bigop finfun tuple) mathcomp(ssralg matrix mxalgebra zmodp)