proposition: Lemma cvgr0Pnorm_ltp {T} {F : set_system T} {FF : Filter F} (f : T -> V) : f @ F --> 0 <-> \forall eps \near 0^'+, \forall t \near F, `|f t| < eps.
proof: Proof. by rewrite cvgrPdistC_ltp; under eq_near 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