To prove that a hypothetical particle with velocity greater than the speed of light (v > c) in one inertial system also has v > c in all inertial systems, a space-like four-velocity is utilized. By applying a Lorentz transformation to this four-velocity, it can be demonstrated that the result remains space-like. This indicates that the particle's velocity exceeds the speed of light in any inertial frame. The discussion emphasizes the consistency of relativistic principles across different reference frames. Ultimately, the conclusion reinforces the theoretical implications of particles exceeding light speed in special relativity.