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[tlaplus] Simple contradiction proof



I just started reading about TLAPS and I tried for fun the following silly thing

THEOREM T ==
    ASSUME
        NEW P(_),
        \A p : P(p),
        \A p : ~P(p)
    PROVE
        TRUE
    PROOF
        OBVIOUS

To my surprise, the result was green. I hoped that somehow it would "detect" the contradictions in the assumptions. 

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