ty also implements gradual set-theoretic types, and can represent "ranged" dynamic types (as intersections or unions with Any/Unknown). We don't currently refine dynamic type based on all uses, as suggested here, though we've considered something very much like this for invariant generics.
In your example, wouldn't `none()` be a type for `x` that satisfies both `Integer.to_string(x)` and `Atom.to_string(x)`? Or do you special-case `none()` and error if it occurs?