German phrase
Unter der Bedingung, dass ~.
Meaning
Provided that ___
When to use it
States a clear condition. It sets a prerequisite in a somewhat formal register.
Example dialogue
Kommst du am Samstag zu mir?
Are you coming to my place on Saturday?
Unter der Bedingung, dass du mir vorher Bescheid gibst.
Provided that you let me know beforehand.