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Let (a, b, c, d) be elements within N+ (all positive natural numbers). If a is...

Let (a, b, c, d) be elements within N+ (all positive natural numbers). If a is less than/equal to b, and c is less than/equal to d, then (a*c) is less than/equal to (b*d) with equality if and only if a=b and c=d.

Proof?

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