Suppose that X and Y are disjoint sets. Prove that the function k P(X) x Pk-i(Y)...
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Suppose that X and Y are disjoint sets. Prove that the function k ÜP(X) x Pk-i(Y) → PA(XUY) i=0 defined by (A, B) A u B is a bijection. Deduce that 22 (™+") - Σ (7) (x ² ;). i=0 Suppose that X and Y are disjoint sets. Prove that the function k ÜP(X) x Pk-i(Y) → PA(XUY) i=0 defined by (A, B) A u B is a bijection. Deduce that 22 (™+") - Σ (7) (x ² ;). i=0
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