Let a, b, c be in the set of all integers, where a does not equal zero. Prove that if a ^ bc, then a ^ b or a ^ c - for clarity, that's "if a & bc, then a & b or a & c". Use proof by contrapositive.

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Let a, b, c be in the set of all integers, where a does not equal zero. Prove that if a ^ bc, then a ^ b or a ^ c - for clarity, that's &#34;if a & bc, then a & b or a & c&#34;. Use proof by contrapositive.

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