@needinsight,
Well, he's certainly given himself outs and safety nets, eh?
You are in a lousy, dependent position. Do you have your own money (inheritance, that sort of thing)? Do you work? Because you are probably going to see this relationship end.
I am not saying that it absolutely has to, but he's already cheated and he has the means of doing so again. He is also concealing the truth from you, even if he is not, technically, proactively lying.
This is not a good environment for your daughter to grow up in.
He can (and should!) remain in her life. But it sounds an awful lot as if is already checking out of the relationship.