proposition: Lemma littleo0_subproof F (g : T -> W) : Filter F -> littleo_def F (0 : T -> V) g.
proof: Proof. move=> FF _/posnumP[eps] /=; apply: filterE => x; rewrite normr0. by rewrite mulr_ge0 // ltrW. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg ssrnum) mathcomp(mathcomp_extra boolp classical_sets functions) ereal reals signed topology normedtype prodnormedzmodule