If you actually want the compiler to check this on the level of the type system, it'd have to be `NonNaNFloat | NaN`. Then you can check which one you have and continue with a float that is guaranteed to not be NaN.
But (importantly) a NonNaNFloat is not the same as a float, and this distinction has to be encoded in the type system if you want to take this approach seriously. This distinction is NOT supported by most type systems (including Rust's std afaik, fwiw). It's similar to Rust's NonZero family of types.