Induction With The Product Of $n$ Odd Integers

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Problem 58: (Induction With The Product Of $n$ Odd Integers)

Use the principle of mathematical induction to prove that for every $n\in\mathbb{N}$ we have if $x_1,x_2,\ldots, x_n$ are odd integers, then the product $x_1x_2\cdots x_n$ is an odd integer.

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