Six Sigma and Beyond: Statistics and Probability, Volume III
DE MORGAN'S LAWS OF COMPLEMENTS
(A ‹‚ B)* = A* ‹ƒ B*
(A ‹ƒ B)* = A* ‹‚ B*
Then:
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A = (A ‹‚ B) ‹ƒ (A ‹‚ B*)
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A ‹‚ (B ‹ƒ C) = (A ‹‚ B) ‹ƒ (A ‹‚ C)
(A ‹‚ B)* = A* ‹ƒ B*
(A ‹ƒ B)* = A* ‹‚ B*
Then:
A = (A ‹‚ B) ‹ƒ (A ‹‚ B*)
A ‹‚ (B ‹ƒ C) = (A ‹‚ B) ‹ƒ (A ‹‚ C)