from typing import Any
from typing_extensions import Self

from sympy.core.facts import FactKB

_assume_rules = ...
_assume_defined = ...
_assume_defined = ...

def assumptions(expr, _check=...) -> dict[Any, Any]: ...
def common_assumptions(exprs, check=...) -> dict[Any, Any]: ...
def failing_assumptions(expr, **assumptions) -> dict[Any, Any]: ...
def check_assumptions(expr, against=..., **assume) -> bool | None: ...

class StdFactKB(FactKB):
    def __init__(self, facts=...) -> None: ...
    def copy(self) -> Self: ...
    @property
    def generator(self) -> dict[Any, Any]: ...

def as_property(fact): ...
def make_property(fact) -> property: ...

class ManagedProperties(type):
    def __init__(cls, *args, **kwargs) -> None: ...