proposition: Lemma eqolim0 (F : filter_on T) (f : T -> V) : f =o_F (cst (1 : K^o)) -> f @ F --> (0 : V).
proof: Proof. by move=> /eqoE /eqolim0P. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg ssrnum) mathcomp(mathcomp_extra boolp classical_sets functions) ereal reals signed topology normedtype prodnormedzmodule