def is_member(obj: _mo.MathObject) -> bool:
"""Return ``True`` if ``obj`` is a member of the :term:`ground set` of this :term:`algebra`.
:return: ``True`` if ``obj`` is an instance of :class:`~.Couplet`.
"""
_mo.raise_if_not_mathobject(obj)
return isinstance(obj, _mo.Couplet)
def is_absolute_member(obj: _mo.MathObject) -> bool:
"""Return ``True`` if ``obj`` is a member of the :term:`absolute ground set` of this algebra.
:return: ``True`` if ``obj`` is an :term:`absolute relation`.
.. note:: This function calls :meth:`~.MathObject.get_ground_set` on ``obj``."""
_mo.raise_if_not_mathobject(obj)
return obj.get_ground_set().is_subset(get_absolute_ground_set())
def is_member(obj: _mo.MathObject) -> bool:
"""Return ``True`` if ``obj`` is a member of the :term:`ground set` of this :term:`algebra`.
.. note:: This function calls :meth:`~.MathObject.get_ground_set` on ``obj``.
"""
_mo.raise_if_not_mathobject(obj)
if not obj.cached_is_clan and not obj.cached_is_not_clan:
obj.cache_is_clan(obj.get_ground_set().is_subset(get_ground_set()))
return obj.cached_is_clan
def is_member(obj: _mo.MathObject) -> bool:
"""Return ``True`` if ``obj`` is a member of the :term:`ground set` of this :term:`algebra`.
.. note:: This function may call :meth:`~.MathObject.get_ground_set` on ``obj``. The result
of this operation is cached.
"""
_mo.raise_if_not_mathobject(obj)
if not obj.cached_is_relation and not obj.cached_is_not_relation:
obj.cache_is_relation(obj.get_ground_set().is_subset(get_ground_set()))
return obj.cached_is_relation
