Well, once again your use of "accounts" is meaningless, but I'll ignore that, because you are still completely wrong:
You say logic is part of god. Thus, by assuming god, you assume logic, because it is part of the thing you are assuming as a whole. There is no "accounting" at all, there is no implication, you are quite simply assuming "logic, and also the other parts that make up god".
If I assume just logic, my assumption is smaller than yours, and generally in logic, this is preferred.