What was found
JFK - INFLIGHT LGA-MIA. CREW REPORTED PRESSURIZATION LOSS AFTER TAKEOFF. PROBLEM STARTED WITH LEFT BLEED FAULT. WHEN LEFT BLEED WAS SHUT DOWN, ALTITUDE WARNING ON PRESSURIZATION SYSTEM RIGHT PACK COULD NOT MAINTAIN CABIN PRESSURE. EMERGENCY DECLARED FLIGHT DIVERTED JFK LANDED WITHOUT INCIDENT. AIRCRAFT REMOVED FROM SERVICE. FOUND CLAMP LOOSE ON RIGHT PACK CHECK VALVE BOOT. REPOSTIONED BOOT AND INSTALLED NEW CLAMP.