Are transfer credits transitive? Is transfer credit transitive?  If B accepts credits from A, and C accepts credits from B, will C accept credits from A, provided a student transfers to B before coming to C?

I have transfer credits at my current, American, university.  Some of them are from a previous American university, some of them are from a foreign high school, and some are from online classes.  If I transfer, will the university I transfer to accept my current transfer credit just as it does any credit from my current university?

Something I'm looking at now is online classes from Saylor.  I'm just afraid that even if my current university accepts ACE credit, if I transfer, these credits may not follow me.
The only valid answer you will get is from the institution you are applying to. They likely have policies about all sort of such things. As a pure guess it would depend on the individual institutions that granted the credits originally and their reputation. 

A "receiving" institution might be fairly open to this if they have reason to want you for other considerations. But ask and you will learn. 

In the US, at least, don't look for common policies. Within a State university system there may be rules about transferring from one such institution to another.