Object

at.logic.gapt.proofs.lk

ExistsRightBlock

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object ExistsRightBlock

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  1. final def !=(arg0: Any): Boolean

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  2. final def ##(): Int

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  3. final def ==(arg0: Any): Boolean

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  4. def apply(s1: LKProof, main: HOLFormula, terms: Seq[LambdaExpression]): LKProof

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    Applies the ExistsRight-rule n times.
    This method expects a formula main with
    a quantifier block, and a proof s1 which has a fully
    instantiated version of main on the left side of its
    bottommost sequent.
    
    The rule:
      (rest of s1)
     sL |- A[x1\term1,...,xN\termN], sR
    ---------------------------------- (ExistsRight x n)
        sL |- Exists x1,..,xN.A, sR
    

    Applies the ExistsRight-rule n times.
    This method expects a formula main with
    a quantifier block, and a proof s1 which has a fully
    instantiated version of main on the left side of its
    bottommost sequent.
    
    The rule:
      (rest of s1)
     sL |- A[x1\term1,...,xN\termN], sR
    ---------------------------------- (ExistsRight x n)
        sL |- Exists x1,..,xN.A, sR
    

    s1

    The top proof with (sL |- A[x1\term1,...,xN\termN], sR) as the bottommost sequent.

    main

    A formula of the form (Exist x1,...,xN.A).

    terms

    The list of terms with which to instantiate main. The caller of this method has to ensure the correctness of these terms, and, specifically, that A[x1\term1,...,xN\termN] indeed occurs at the bottom of the proof s1.

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  12. final def isInstanceOf[T0]: Boolean

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