Solution to Let S={1,2,3,4}, and define a partial ordering of P(S) (the power set of S), by: … - Sikademy
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Archangel Macsika

Let S={1,2,3,4}, and define a partial ordering of P(S) (the power set of S), by: A⪯B if and only if A⊆B. Is this partial ordering in fact a total ordering (chain)? Why or why not?

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For a set S a partial ordering of P(S) defined by: A⪯B if and only if A⊆B, is not a total ordering because for the sets A=\{1,2\} and B=\{3,4\} it is not true that A⊆B or B⊆A.

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Question ID: mtid-5-stid-8-sqid-3525-qpid-2224