If entropy decreases locally in a non-isolated system, what consequence must hold true regarding the total entropy?

Answer

A greater increase in total entropy must accompany it somewhere else, usually in the environment.

Local ordering, which decreases entropy in one place, is always offset by a larger, irreversible increase in disorder in the surrounding environment that provided the necessary energy.

If entropy decreases locally in a non-isolated system, what consequence must hold true regarding the total entropy?
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