Abstract: Applying the theorem of corresponding relation in phase diagrams, its six corollaries in general cases may be deduced. The relation between the dimension of the boundary (set of system points) and the dimension of the phase boundary (set of equilibrium phase points) in general cases may be also obtained. All the rules about the relation between the neighboring phase regions and their boundaries in isobaric(or isothermal)phase diagrams and in pressure-temperature-composition multicomponent phase diagrams may be deduced simply by applying above corollaries and relation in general cases.