What was found
NR 1 GENERATOR FAILURE, CYCLING ON AND OFF. CAUSED MULTIPLE SYSTEM FAILURES, TO INCLUDE AUTO PRESSURIZATION SYSTEM FAILURE. THE NR 1 DC GENERATOR LIGHT ILLUMINATED WITH AUX INVERTER LIGHT. LEFT STALL WARNING LIGHT ILLUMINATED INTERMITTENTLY. AUTOPILOT DISCONNECTED, TCAS FAILED, PRESSURE CONTROLLER FAILED, GPWS FAILED AND NR 1 FMS/WAAS FAILED. IAW QRH, TURNED OFF THE NR 1 DC GEN AND RESET. CONDITIONED CONTINUED. TURNS OFF THE NR 1 DC GENERATOR AND ALL LIGHTS RESET. NR 1 GPS, GPWS AND TCAS REMAINED INOPERATIVE. THE PRESSURIZATION FAILURE NECESSITATED DECLARATION OF AN EMERGENCY AND PRIORITY FOR A DESCENT TO LOWER ALTITUDE. AIRCRAFT DIVERTED.