Question: One technique to show that a decision problem is NP-hard, is to reduce a known NP-hard problem, such as 3SAT, to the problem of concern.

One technique to show that a decision problem is NP-hard, is to reduce a known NP-hard problem, such as 3SAT, to the problem of concern. Explain what requirements, and why, on such reduction are fundamental for the approach to work. Also, state which Theorem makes use of this requirement?

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