if

An english language question for once (yeah it's a foreign language for me). Can somebody explain to me the use of "if" in the following sentence?

I'm satisfied with my life, if jaded.

I've seen this over and over again, always understood the meaning, but never could come up with a definitive rule.

>>7
yeah its also dead. But given that its was predominantly spoken in Turkey id say the people who spoke it also spoke Turkish since they were a minority