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at.logic.gapt.proofs.lk

ExistsRightBlock

object ExistsRightBlock

Source
macroRules.scala
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  1. final def !=(arg0: Any): Boolean
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  2. final def ##(): Int
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  4. def apply(subProof: LKProof, main: HOLFormula, terms: Seq[LambdaExpression]): LKProof

    Applies the ExistsRight-rule n times.

    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 right side of its bottommost sequent.

    The rule:

                   (π)
     Γ :- Δ, A[x1\term1,...,xN\termN]
    ---------------------------------- (∀_l x n)
          Γ :- Δ, ∃ x1,..,xN.A
    

    subProof

    The top proof with (Γ :- Δ, A[x1\term1,...,xN\termN]) as the bottommost sequent.

    main

    A formula of the form (∃ 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 π.

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  20. final def wait(arg0: Long): Unit
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  21. def withOccConnector(subProof: LKProof, main: HOLFormula, terms: Seq[LambdaExpression]): (LKProof, OccConnector[HOLFormula])

    Applies the ExistsRight-rule n times.

    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 right side of its bottommost sequent.

    The rule:

                   (π)
     Γ :- Δ, A[x1\term1,...,xN\termN]
    ---------------------------------- (∀_l x n)
          Γ :- Δ, ∃ x1,..,xN.A
    

    subProof

    The top proof with (Γ :- Δ, A[x1\term1,...,xN\termN]) as the bottommost sequent.

    main

    A formula of the form (∃ 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 π.

    returns

    A pair consisting of an LKProof and an OccConnector.

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