There are multiple definitions of theism in many theopogical circles (especially non english ones) today. Deism as asubset of theism makes no sense with the definition of theism which is *specifically* about interventional gods, not all gods. Which is why deism, and their branches like polydeism, pandeism and panendeism are usually called Nontheism which atheism is also a subset of. (Atheism and nontheism having different definitions through etymology, like the difference between gnosticism when talking about Christian gnosticism or gnosticism in opposition to agnosticism. The words are the same, the meaning isn't.)