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It is not the case that Purity-F is false.
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Reasons For
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1.
Purity-F is a background premise of both D1 and D4.
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2.
D1 and D2 together entail that a contradiction follows from the hypothesis that the one is, on the assumption that Purity-F is true.
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3.
D1 and D2 together entail that if the one is, then Purity-F is false.
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