You have probably noticed that the sum of two odd integers is always an even integer

Chapter 13, Problem 23

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You have probably noticed that the sum of two odd integers is always an even integer. The rule 2n generates even integers and the rule 2n 1 generates odd integers. Let 2n 1 and 2m 1 represent any two odd integers, and prove that the sum of two odd integers is always an even integer.

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