The second advantage is power: if you have proved something about regular polyhedra, then what you have proved automatically holds true for every polyh

The second advantage is power: if you have proved something about regular polyhedra, then what you have proved automatically holds true for every polyhedron, whether it's a cube, a tetrahedron, or some polyhedron that you have never even heard about. Is this worded correctly/true? If I prove something is true for regular polyhedra, then I don't believe that that extends to all polyhedra since regular polyhedra are a subset of all polyhedra...