Polyhedra Module
================

Polyhedron class allows users to build and inspect polyherons.

.. py:class:: Polyhedron

    .. py:property:: equalities

        Returns a list of the equalities in a polyhedron.

    .. py:property:: inequalities

        Returns a list of the inequalities in a polyhedron.

    .. py:property:: constraints

        Returns a list of the constraints of a polyhedron.

    .. py:method:: disjoint(self)

        Returns a polyhedron as a disjoint.

    .. py:method:: isuniverse(self)

        Return ``True`` if a polyhedron is the Universe set.

    .. py:method:: subs(self, symbol, expression=None)

        Substitutes an expression into a polyhedron and returns the result.

To create a polyhedron, the user can use the following functions to define  equalities and inequalities as the constraints.

.. py:function:: Eq(left, right)

   Returns a Polyhedron instance with a single constraint as *left* equal to *right*.

.. py:function:: Ne(left, right)

   Returns a Polyhedron instance with a single constraint as *left* not equal to *right*.

.. py:function:: Lt(left, right)

   Returns a Polyhedron instance with a single constraint as *left* less than *right*.

.. py:function:: Le(left, right)

   Returns a Polyhedron instance with a single constraint as *left* less than or equal to *right*.

.. py:function:: Gt(left, right)

   Returns a Polyhedron instance with a single constraint as *left* greater than *right*.

.. py:function:: Ge(left, right)

   Returns a Polyhedron instance with a single constraint as *left* greater than or equal to *right*.