Let T be a set and partially order P(T) by inclusion. Let C C P(P(T)) be...

 

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Let T be a set and partially order P(T) by inclusion. Let C C P(P(T)) be chain and let F be a finite subset of Uvec U Prove that there is some U E C such that F CU. Hint: Clearly this is an induction problem. Let T be a set and partially order P(T) by inclusion. Let C C P(P(T)) be chain and let F be a finite subset of Uvec U Prove that there is some U E C such that F CU. Hint: Clearly this is an induction problem.