proposition: Lemma cantor_zero_dimensional : zero_dimensional cantor_space.
proof: Proof. apply: zero_dimension_prod => _; apply: discrete_zero_dimension. exact: discrete_pointed. Qed.
imports: mathcomp(all_ssreflect ssralg ssrint ssrnum interval rat) mathcomp(finmap) mathcomp(mathcomp_extra boolp classical_sets functions) mathcomp(cardinality) reals signed topology HB(structures)