proposition: Lemma cvgr2dist_lt {I J} {F : set_system I} {G : set_system J} {FF : Filter F} {FG : Filter G} (f : I -> U) (g : J -> V) (y : U) (z : V) : (f @ F, g @ G) --> (y, z) -> forall eps, 0 < eps -> \forall i \near F & j \near G, `| (y, z) - (f i, g j) | < eps.
proof: Proof. by rewrite cvgr2dist_ltP. 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