This is for the Learjet 60:
The first indication of a problem is at 8,600 ft +/- 250 ft.:
The automatic Pressurization controller changes to manual mode and the PRESS SYS and FAULT lights illuminate.
At 9,500 ft. +/- 250 ft.:
The emergency pressurization valves are activated, directing bleed air directly into the cabin. (This is automatic and can not be controlled by the pilot)
At 10,100 ft. +/- 250 ft.:
The Cabin Altitude Warning Horn sounds. (And an emergency descent must be initiated.)
At 13,700 ft. +/- 500 ft.: