Prove that if every X S is transitive, then is transitive.
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Originally Posted by qwe123 Prove that if every X S is transitive, then is transitive. Definition. A set A is said to be transitive set iff every member of a member of A is itself a member of A: . This condition can be stated as: . To show is transitive, (X is transitive set by hypothesis) . Thus is transitive.
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