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A = A
A = B  <=>  B = A
A < B  <=>  B > A
A <= B  <=>  B >= A
(A < B) & (B < C)  =>  A < C
(A <= B) & (B <= C)  =>  A <= C

            The comparison function is required to behave. If it retur
+ns
            inconsistent results (sometimes saying $x[1] is less than 
+$x[2]
            and sometimes saying the opposite, for example) the result
+s are
            not well-defined.