You either are or you aren't using mathematical functions as the basic building block of your program. What you're listing is either FP with additional features

You either are or you aren't using mathematical functions as the basic building block of your program. What you're listing is either FP with additional features, which is still FP, or features of FP used in OO. FP is paradigm, which is more about how you structure your program and how you think about solving problems.