proposition: Lemma eq_is_cvg_in (T T' : Type) (fT : filteredType T') (F : set_system T) (f g : T -> T') : f =1 g -> [cvg (f @ F) in fT] = [cvg (g @ F) in fT].
proof: Proof. by move=> /funext->. Qed.
imports: HB(structures) mathcomp(all_ssreflect all_algebra finmap generic_quotient) mathcomp(boolp classical_sets functions) mathcomp(cardinality mathcomp_extra fsbigop) reals signed