Question: If { P} is truth-functionally consistent, must {P} be truth-functionally consistent as well? If yes, prove it. If not, provide a counter-example, that is, a

If { P} is truth-functionally consistent, must {P} be truth-functionally consistent as well? If yes, prove it. If not, provide a counter-example, that is, a set { P} which is truth-functionally consistent while the set {P} isnt.

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