fact: Definition cantor_like (T : topologicalType) := [/\ perfect_set [set: T], compact [set: T], hausdorff_space T & zero_dimensional T].
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)