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For note that to show there is a unique object with a

Question: For note that to show there is a unique object with a certain property, show that (1) there is an object with the property and (2) if objects A and B have the property, then A = B.

Prove that there is at most one real number α with the property that a + r = r for all real numbers r. (Such a number is called an additive identity.)

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Mathematics: For note that to show there is a unique object with a

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