Question: 3. Somewhat similar to the earlier problem, we now need to show a stronger property for linear predicates. Using the standard notation, let Cuts() denote

3. Somewhat similar to the earlier problem, we now need to show a stronger property for linear predicates. Using the standard notation, let Cuts(φ) denote the set of cuts satisfying φ. Prove the following. “Cuts(φ) is closed under intersection if and only if φ is linear.”

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