Class/Object

at.logic.gapt.proofs.lkNew

ImpRightRule

Related Docs: object ImpRightRule | package lkNew

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case class ImpRightRule(subProof: LKProof, aux1: SequentIndex, aux2: SequentIndex) extends UnaryLKProof with Product with Serializable

An LKProof ending with an implication on the right:

        (π)
    A, Γ :- Δ, B
   --------------
    Γ :- Δ, A → B

subProof

The subproof π.

aux1

The index of A.

aux2

The index of B.

Linear Supertypes
Serializable, Serializable, UnaryLKProof, LKProof, SequentProof[HOLFormula, LKProof], DagProof[LKProof], Product, Equals, AnyRef, Any
Type Hierarchy Learn more about scaladoc diagrams
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  2. By inheritance
Inherited
  1. ImpRightRule
  2. Serializable
  3. Serializable
  4. UnaryLKProof
  5. LKProof
  6. SequentProof
  7. DagProof
  8. Product
  9. Equals
  10. AnyRef
  11. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. All

Instance Constructors

  1. new ImpRightRule(subProof: LKProof, aux1: SequentIndex, aux2: SequentIndex)

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    subProof

    The subproof π.

    aux1

    The index of A.

    aux2

    The index of B.

Value Members

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

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    Definition Classes
    AnyRef → Any
  2. final def ##(): Int

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    Definition Classes
    AnyRef → Any
  3. def +(other: String): String

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    Implicit information
    This member is added by an implicit conversion from ImpRightRule to any2stringadd[ImpRightRule] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (ImpRightRule, B)

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    Implicit information
    This member is added by an implicit conversion from ImpRightRule to ArrowAssoc[ImpRightRule] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean

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    Definition Classes
    AnyRef → Any
  6. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  7. val aux1: SequentIndex

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    The index of A.

  8. val aux2: SequentIndex

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    The index of B.

  9. def auxFormulas: Seq[Seq[HOLFormula]]

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    A list of lists containing the auxiliary formulas of the rule.

    A list of lists containing the auxiliary formulas of the rule. The first list constains the auxiliary formulas in the first premise and so on.

    Definition Classes
    SequentProof
  10. def auxIndices: Seq[Seq[SequentIndex]]

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    A list of lists of SequentIndices denoting the auxiliary formula(s) of the rule.

    A list of lists of SequentIndices denoting the auxiliary formula(s) of the rule. The first list contains the auxiliary formulas in the first premise and so on.

    Definition Classes
    ImpRightRuleSequentProof
  11. def clone(): AnyRef

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  12. def conclusion: HOLSequent

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    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    LKProofSequentProof
  13. def dagLikeForeach(f: (LKProof) ⇒ Unit): Set[LKProof]

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    Iterate over all sub-proofs including this in post-order, ignoring duplicates.

    Iterate over all sub-proofs including this in post-order, ignoring duplicates.

    returns

    Set of all visited sub-proofs including this.

    Definition Classes
    DagProof
  14. def dagLikePostOrder: Seq[LKProof]

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    A sequence of all sub-proofs including this in post-order, ignoring duplicates.

    A sequence of all sub-proofs including this in post-order, ignoring duplicates.

    Definition Classes
    DagProof
  15. def endSequent: Sequent[HOLFormula]

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    The end-sequent of the rule.

    The end-sequent of the rule.

    Definition Classes
    ImpRightRuleLKProof
  16. def ensuring(cond: (ImpRightRule) ⇒ Boolean, msg: ⇒ Any): ImpRightRule

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    Implicit information
    This member is added by an implicit conversion from ImpRightRule to Ensuring[ImpRightRule] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  17. def ensuring(cond: (ImpRightRule) ⇒ Boolean): ImpRightRule

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    Implicit information
    This member is added by an implicit conversion from ImpRightRule to Ensuring[ImpRightRule] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  18. def ensuring(cond: Boolean, msg: ⇒ Any): ImpRightRule

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    Implicit information
    This member is added by an implicit conversion from ImpRightRule to Ensuring[ImpRightRule] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  19. def ensuring(cond: Boolean): ImpRightRule

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    Implicit information
    This member is added by an implicit conversion from ImpRightRule to Ensuring[ImpRightRule] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  20. final def eq(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  21. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  22. def foreach(f: (LKProof) ⇒ Unit): Unit

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    Iterate over all sub-proofs including this in post-order.

    Iterate over all sub-proofs including this in post-order.

    Definition Classes
    DagProof
  23. def formatted(fmtstr: String): String

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    Implicit information
    This member is added by an implicit conversion from ImpRightRule to StringFormat[ImpRightRule] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  24. val formula: HOLFormula

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  25. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  26. def getOccConnector: OccConnector

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    The object connecting the lower and upper sequents.

    The object connecting the lower and upper sequents.

    Definition Classes
    ImpRightRuleUnaryLKProof
  27. val hashCode: Int

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    Definition Classes
    DagProof → AnyRef → Any
  28. def immediateSubProofs: Seq[LKProof]

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    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    UnaryLKProofDagProof
  29. val impConclusion: HOLFormula

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  30. val impPremise: HOLFormula

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  31. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  32. def longName: String

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    The name of the rule (in words).

    The name of the rule (in words).

    Definition Classes
    DagProof
  33. def mainFormulas: Seq[HOLFormula]

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    The list of main formulas of the rule.

    The list of main formulas of the rule.

    Definition Classes
    SequentProof
  34. def mainIndices: Seq[Suc]

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    A list of SequentIndices denoting the main formula(s) of the rule.

    A list of SequentIndices denoting the main formula(s) of the rule.

    Definition Classes
    ImpRightRuleSequentProof
  35. def name: String

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    The name of the rule (in symbols).

    The name of the rule (in symbols).

    Definition Classes
    ImpRightRuleDagProof
  36. final def ne(arg0: AnyRef): Boolean

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    Definition Classes
    AnyRef
  37. val newContext: Sequent[HOLFormula]

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  38. final def notify(): Unit

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    Definition Classes
    AnyRef
  39. final def notifyAll(): Unit

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    Definition Classes
    AnyRef
  40. def occConnectors: Seq[OccConnector]

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    A list of occurrence connectors, one for each immediate subproof.

    A list of occurrence connectors, one for each immediate subproof.

    Definition Classes
    UnaryLKProofSequentProof
  41. def postOrder: Seq[LKProof]

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    A sequence of all sub-proofs including this in post-order.

    A sequence of all sub-proofs including this in post-order.

    Definition Classes
    DagProof
  42. def premise: HOLSequent

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    The upper sequent of the rule.

    The upper sequent of the rule.

    Definition Classes
    UnaryLKProof
  43. def premises: Seq[Sequent[HOLFormula]]

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    The upper sequents of the rule.

    The upper sequents of the rule.

    Definition Classes
    SequentProof
  44. def stepString(subProofLabels: Map[Any, String]): String

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    Attributes
    protected
    Definition Classes
    SequentProofDagProof
  45. val subProof: LKProof

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    The subproof π.

    The subproof π.

    Definition Classes
    ImpRightRuleUnaryLKProof
  46. def subProofs: Set[LKProof]

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    Set of all sub-proofs including this.

    Set of all sub-proofs including this.

    Definition Classes
    DagProof
  47. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  48. def toString(): String

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    Definition Classes
    DagProof → AnyRef → Any
  49. def validateIndices(premise: HOLSequent, antecedentIndices: Seq[SequentIndex], succedentIndices: Seq[SequentIndex]): Unit

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    Checks whether indices are in the right place and premise is defined at all of them.

    Checks whether indices are in the right place and premise is defined at all of them.

    premise

    The sequent to be checked.

    antecedentIndices

    Indices that should be in the antecedent.

    succedentIndices

    Indices that should be in the succedent.

    Attributes
    protected
    Definition Classes
    LKProof
  50. final def wait(): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  51. final def wait(arg0: Long, arg1: Int): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  52. final def wait(arg0: Long): Unit

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    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  53. def [B](y: B): (ImpRightRule, B)

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    Implicit information
    This member is added by an implicit conversion from ImpRightRule to ArrowAssoc[ImpRightRule] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

Inherited from Serializable

Inherited from Serializable

Inherited from UnaryLKProof

Inherited from LKProof

Inherited from SequentProof[HOLFormula, LKProof]

Inherited from DagProof[LKProof]

Inherited from Product

Inherited from Equals

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd from ImpRightRule to any2stringadd[ImpRightRule]

Inherited by implicit conversion StringFormat from ImpRightRule to StringFormat[ImpRightRule]

Inherited by implicit conversion Ensuring from ImpRightRule to Ensuring[ImpRightRule]

Inherited by implicit conversion ArrowAssoc from ImpRightRule to ArrowAssoc[ImpRightRule]

Ungrouped