What was found
DFW/CUU - FLT 445 - DURING CLIMB AFTER TAKEOFF FROM DFW AFTER GEAR RETRACTION, 'PROXI SYSTEM FAIL' CAS MESSAGE APPEARED AND ON HYDRAULIC PAGE 'PROXI FAIL' AND 'PROXI LOCK'. AT THE SAME TIME, THE RT MAIN GREEN GEAR DOWN INDICATOR WAS ON WITH GEAR UP. CREW CYCLED GEAR SEVERAL TIMES AND THE PROBLEM REMAINED. CREW CONTACTED FLT AND MAINT CONTROL AND RETURNED TO DFW. ACFT LANDED WITHOUT INCIDENT. MAINT INSPECTED THE ACFT AND DETERMINED THE PROXI SWITCH B ON THE RT SIDE WAS FAULTY. MAINT REPLACED THE EFFECTED PROXI SENSOR AND PERFORMED OPERATIONAL CHECKS. ALL CHECKS SATISFACTORY. MAINT CHECK FLIGHT PERFORMED WITH NUMEROUS GEAR SWINGS CONDUCTED. ALL TESTS SATISFACTORY. ACFT RELEASED TO REVENUE SERVICE.