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- . Prove each of the following, where a is any cardinal number. a) a +0= a, b) a0 = 0, c) 0 = 0. 2. Prove each of the following, where a is any cardinal number. a) la c) 14 = 1. 3. If a, b are arbitrary cardinal numbers, prove that ab = 0 if and only if a = 0 or b = 0. = a, b) a' = a,
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