What was found
NOSE GEAR WOULD NOT RETRACT ON TAKEOFF, RECEIVED RED "NOSE GEAR OPEN" MESSAGE, AND RED "GEAR DISAGREE" MESSAGE. EMERGENCY DECLARED AS A PRECAUTION -- ACFT RETURNED TO DEPARTURE AFTER T/O. FOUND NOSE GEAR CENTERED EXTENDED PROX SENSOR BRACKET BENT, REPLACED BRACKET IAW CMM 32-20-04, ADJUSTED PROX SENSOR IAW AMM 32-61-05. OPS CHECK OF LANDING GEAR SYS GOOD IAW AMM 32-30-00-720-801. ACFT OK FOR SERVICE.