Class/Object

at.logic.gapt.proofs.lkNew

ForallLeftRule

Related Docs: object ForallLeftRule | package lkNew

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case class ForallLeftRule(subProof: LKProof, aux: SequentIndex, A: HOLFormula, term: LambdaExpression, v: Var) extends UnaryLKProof with Product with Serializable

An LKProof ending with a universal quantifier on the left:

           (π)
     A[x\t], Γ :- Δ
    ----------------∀:l
      ∀x.A, Γ :- Δ

subProof

The proof π.

aux

The index of A[x\t].

A

The formula A.

term

The term t.

v

The variable x.

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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  1. Alphabetic
  2. By inheritance
Inherited
  1. ForallLeftRule
  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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  2. Show all
Visibility
  1. Public
  2. All

Instance Constructors

  1. new ForallLeftRule(subProof: LKProof, aux: SequentIndex, A: HOLFormula, term: LambdaExpression, v: Var)

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    subProof

    The proof π.

    aux

    The index of A[x\t].

    A

    The formula A.

    term

    The term t.

    v

    The variable x.

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 ForallLeftRule to any2stringadd[ForallLeftRule] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (ForallLeftRule, B)

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    Implicit information
    This member is added by an implicit conversion from ForallLeftRule to ArrowAssoc[ForallLeftRule] 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. val A: HOLFormula

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    The formula A.

  7. final def asInstanceOf[T0]: T0

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    Definition Classes
    Any
  8. val aux: SequentIndex

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    The index of A[x\t].

  9. val auxFormula: HOLFormula

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  10. 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
  11. 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
    ForallLeftRuleSequentProof
  12. def clone(): AnyRef

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

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    The conclusion of the rule.

    The conclusion of the rule.

    Definition Classes
    LKProofSequentProof
  14. val context: Sequent[HOLFormula]

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  15. 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
  16. 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
  17. def endSequent: Sequent[HOLFormula]

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    The end-sequent of the rule.

    The end-sequent of the rule.

    Definition Classes
    ForallLeftRuleLKProof
  18. def ensuring(cond: (ForallLeftRule) ⇒ Boolean, msg: ⇒ Any): ForallLeftRule

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

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

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

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

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    Definition Classes
    AnyRef
  23. def finalize(): Unit

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    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  24. 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
  25. def formatted(fmtstr: String): String

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    Implicit information
    This member is added by an implicit conversion from ForallLeftRule to StringFormat[ForallLeftRule] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  26. final def getClass(): Class[_]

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    Definition Classes
    AnyRef → Any
  27. 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
    ForallLeftRuleUnaryLKProof
  28. val hashCode: Int

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

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    The immediate subproofs of this rule.

    The immediate subproofs of this rule.

    Definition Classes
    UnaryLKProofDagProof
  30. final def isInstanceOf[T0]: Boolean

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    Definition Classes
    Any
  31. def longName: String

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    The name of the rule (in words).

    The name of the rule (in words).

    Definition Classes
    DagProof
  32. val mainFormula: HOLFormula

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  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[Ant]

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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
    ForallLeftRuleSequentProof
  35. def name: String

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    The name of the rule (in symbols).

    The name of the rule (in symbols).

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

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    Definition Classes
    AnyRef
  37. final def notify(): Unit

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

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    Definition Classes
    AnyRef
  39. 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
  40. 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
  41. def premise: HOLSequent

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    The upper sequent of the rule.

    The upper sequent of the rule.

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

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    The upper sequents of the rule.

    The upper sequents of the rule.

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

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    Attributes
    protected
    Definition Classes
    SequentProofDagProof
  44. val subProof: LKProof

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    The proof π.

    The proof π.

    Definition Classes
    ForallLeftRuleUnaryLKProof
  45. 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
  46. final def synchronized[T0](arg0: ⇒ T0): T0

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    Definition Classes
    AnyRef
  47. val term: LambdaExpression

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    The term t.

  48. def toString(): String

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    Definition Classes
    DagProof → AnyRef → Any
  49. val v: Var

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    The variable x.

  50. 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
  51. final def wait(): Unit

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

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

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

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    Implicit information
    This member is added by an implicit conversion from ForallLeftRule to ArrowAssoc[ForallLeftRule] 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 ForallLeftRule to any2stringadd[ForallLeftRule]

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

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

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

Ungrouped