proposition: Lemma cvgr0Pnorm_le {T} {F : set_system T} {FF : Filter F} (f : T -> V) : f @ F --> 0 <-> forall eps, 0 < eps -> \forall t \near F, `|f t| <= eps.
proof: Proof. rewrite cvgrPdistC_le. by under [X in X <-> _]eq_forall do under eq_near do rewrite subr0. Qed.
imports: HB(structures) mathcomp(all_ssreflect ssralg ssrint ssrnum finmap matrix) mathcomp(rat interval zmodp vector fieldext falgebra) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality set_interval Rstruct) ereal reals signed topology prodnormedzmodule