Question: 2. (a) Prove that if A and B have the same cardinality then (A) and (B) have the same cardinality. (b) Prove that if A1

(a) Prove that if A and B have the same cardinality then (A) and (B) have the same cardinality.

(b) Prove that if A1 and A2 have the same cardinality and B1 and B2 have the same cardinality, and A1 B1 = A2 B2 = then A1 B1 has the same cardinality as A2 B2.

(c) Prove that if A1 and A2 have the same cardinality and B1 and B2 have the same cardinality then A1 B1 has the same cardinality as A2 B2.

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