on condition

prepositional phrase3

1. •
   Providing.

   • He was bitten by a snake, but a second woman cured him, on condition that she could also be his wife. — 1975
2. •
   With the requirement (of).

   • these presents are made in contemplation, but not on condition of, a marriage — 1793
3. •
   When testing or inspection finds an indication of a potential problem.

   • Airframes, engines, and electronics are generally repaired on condition, before next flight.