1. Prove that for any set X, there exists a such that a X 2. Let...

 

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1. Prove that for any set X, there exists a such that a X 2. Let A and B be two sets. Show that the set C = {x E A Ax & B}U {x E BA^x A} exists and is unique 3. Prove that if A B then P(A) P(B) 1. Prove that for any set X, there exists a such that a X 2. Let A and B be two sets. Show that the set C = {x E A Ax & B}U {x E BA^x A} exists and is unique 3. Prove that if A B then P(A) P(B)