You can add a "Veteran" designation to your Wyoming driver license or ID card, which then serves as proof of honorable service. There is no extra fee for the designation, though the normal new or renewal license fees still apply.
Mail a Wyoming Veteran Status Verification Form and a copy of your separation papers to the Wyoming Veterans Commission, 5410 Bishop Boulevard, Cheyenne, WY 82009, or deliver it in person to 5800 Central Avenue, Cheyenne. Submit it at least one week before you visit a Wyoming Department of Transportation driver exam station. If you already hold the designation on another state license, just show that credential to the examiner instead.
A completed Wyoming Veteran Status Verification Form, and a copy of your DD214, DD256, NGB22 or Wyoming veteran license plate registration.