The complete products of a Boolean algebra of subsets generated by a set of cardinal number are the Boolean functions
(1)
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where each may equal or its complement . For example, the complete products of are
(2)
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Each Boolean function has a unique representation (up to order) as a union of complete products. For example,
(3)
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(4)
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(5)
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(Comtet 1974, p. 186).