Nuprl Lemma : predicate_implies_weakening 11,40

T:Type, P1P2:(T). P1  P2  P1  P2 
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Definitionst  T, Type, x:AB(x), P  Q, f(a), P  Q, P  Q, P & Q, x:AB(x), , P1  P2, P1  P2

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