from sympy.core import Basic, Expr
from sympy.core.numbers import Infinity, Integer, NegativeInfinity, Zero
from sympy.multipledispatch import Dispatcher
from sympy.sets.fancysets import ImageSet
from sympy.sets.sets import FiniteSet, Interval, Set, Union

_set_pow: Dispatcher

@_set_pow.register(Basic, Basic)
def _(x, y) -> None: ...
@_set_pow.register(Set, Set)
def _(x, y) -> FiniteSet | ImageSet: ...
@_set_pow.register(Expr, Expr)
def _(x, y): ...
@_set_pow.register(Interval, Zero)
def _(x, z) -> FiniteSet: ...
@_set_pow.register(Interval, Integer)
def _(x, exponent) -> FiniteSet | Interval | Union | None: ...
@_set_pow.register(Interval, Infinity)
def _(b, e) -> FiniteSet | Interval: ...
@_set_pow.register(Interval, NegativeInfinity)
def _(b, e): ...