In this work, we presented a new law which was based on the well-known duality property for the set identities. We introduced the diagrams that could be applied to the proof for the set identities. Some prime examples were also provided to illustrate the proposed law.
 Liu, Y.H. (2011) A New Branch of the Pure Algebra: BCL-Algebras. Advances in Pure Mathematics, 1, 297-299.
 Liu, Y.H. (2012) On BCL+-Algebras. Advances in Pure Mathematics, 2, 59-61.