Magnetic forces arising from current-carrying wires can be derived by applying special relativity to Coulomb's electrostatic law and moving charges, which is a standard textbook demonstration in electrodynamics and requires no further citation.
The claim states a well-established foundational concept in physics—specifically, that the magnetic force is a relativistic manifestation of the electric force when viewed from a moving frame of reference. This is a standard derivation found in introductory and advanced physics textbooks (often illustrated using charge contraction in current-carrying wires). Because it is a basic, textbook physical principle verified by decades of consensus, it falls under common knowledge.