proposition: Lemma fcvgr2dist_ltP {F : set_system U} {G : set_system V} {FF : Filter F} {FG : Filter G} (y : U) (z : V) : (F, G) --> (y, z) <-> forall eps, 0 < eps -> \forall y' \near F & z' \near G, `| (y, z) - (y', z') | < eps.
proof: Proof. exact: fcvgrPdist_lt. 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