proposition: Lemma eq_is_cvg (T : Type) (T' : nbhsType) (F : set_system T) (f g : T -> T') : f =1 g -> cvg (f @ F) = cvg (g @ F).
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