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Definition of Even: An integer n ∈ Z is even if there exists an integer q...

Definition of Even: An integer n ∈ Z is even if there exists an integer q ∈ Z such that n = 2q.

Definition of Odd: An integer n ∈ Z is odd if there exists an integer q ∈ Z such that n = 2q + 1.

Use these definitions to prove the following:

Prove that zero is not odd. (Proof by contradiction)

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