Exercise 12.10 [part-decomposition-exercise]
Write definitions for the following:
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${ExhaustivePartDecomposition}$
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${PartPartition}$
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${PartwiseDisjoint}$
These should be analogous to the definitions for ${ExhaustiveDecomposition}$, ${Partition}$, and ${Disjoint}$. Is it the case that ${PartPartition}(s,{BunchOf}(s))$? If so, prove it; if not, give a counterexample and define sufficient conditions under which it does hold.
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