proposition: Lemma cvgrPdistC_lt {T} {F : set_system T} {FF : Filter F} (f : T -> V) (y : V) : f @ F --> y <-> forall eps, 0 < eps -> \forall t \near F, `|f t - y| < eps.
proof: Proof. by rewrite cvgrPdist_lt; under eq_forall do under eq_near do rewrite distrC. 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