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object nat extends Theory

Source
nat.scala
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Type Members

  1. case class LemmaHandle(proofName: Expr) extends Product with Serializable

    Captures an LKProof together with the set of previous lemmas used in it.

    Captures an LKProof together with the set of previous lemmas used in it.

    Definition Classes
    Theory
  2. case class indfn(constName: String, desc: Formula) extends LemmaHelper[Unit] with Product with Serializable
    Attributes
    protected
    Definition Classes
    Theory
  3. case class lemma(openFormula: Formula, attributes: String*) extends LemmaHelper[LemmaHandle] with Product with Serializable
    Attributes
    protected
    Definition Classes
    Theory

Value Members

  1. object LemmaHandle extends Serializable
    Definition Classes
    Theory
  2. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  3. final def ##(): Int
    Definition Classes
    AnyRef → Any
  4. val 0nes: LemmaHandle
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. val add0eq: LemmaHandle
  7. val add0l: LemmaHandle
  8. def addNow(update: Update): Unit
    Attributes
    protected
    Definition Classes
    Theory0
  9. def addProof(name: Expr, proof: => LKProof): Unit
    Attributes
    protected
    Definition Classes
    Theory0
  10. val addac1inst: LemmaHandle
  11. val addassoc: LemmaHandle
  12. val addcomm: LemmaHandle
  13. val addcommiff: LemmaHandle
  14. val addinj: LemmaHandle
  15. val addinjr: LemmaHandle
  16. val addinjr2: LemmaHandle
  17. val addmul: LemmaHandle
  18. val addsl: LemmaHandle
  19. val addsubsub: LemmaHandle
  20. def allProofs: Vector[(String, Eval[DelayedProofResult])]
    Definition Classes
    Theory
  21. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  22. def attr(attrNames: String*)(lemmaNames: String*): Unit

    Adds a list of attributes to a list of lemmas.

    Adds a list of attributes to a list of lemmas.

    Attributes
    protected
    Definition Classes
    Theory
  23. def axiom(f: Formula)(implicit name: Name): Unit

    Adds a formula to this theory as an axiom.

    Adds a formula to this theory as an axiom.

    Attributes
    protected
    Definition Classes
    Theory
  24. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @IntrinsicCandidate()
  25. def const(c: Const): Unit

    Adds a constant to this theory's context.

    Adds a constant to this theory's context.

    Attributes
    protected
    Definition Classes
    Theory
  26. implicit def ctx: Context
    Definition Classes
    Theory0
  27. def ctxWithProofDefinitions(): ImmutableContext
    Definition Classes
    Theory
  28. implicit def curCtx: Context
    Attributes
    protected
    Definition Classes
    Theory
  29. def dfn(eqn: Formula): Unit
    Attributes
    protected
    Definition Classes
    Theory
  30. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  31. def equals(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef → Any
  32. def fun(c: Const, equations: String*): Unit
    Attributes
    protected
    Definition Classes
    Theory
  33. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @IntrinsicCandidate()
  34. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @IntrinsicCandidate()
  35. val imports: List[Theory]
    Definition Classes
    Theory0
  36. def indTy(ty0: Ty, ctrs: Const*): Unit
    Attributes
    protected
    Definition Classes
    Theory
  37. def infix(operator: String, precedence: Int, leftAssociative: Boolean = true, const: String = null): Unit

    Adds an operator as infix notation for an existing constant.

    Adds an operator as infix notation for an existing constant.

    operator

    The operator to add.

    precedence

    The precedence of the operator.

    leftAssociative

    Whether the operator associates to the left.

    const

    The constant which the operator denotes. If nothing is supplied, it will assumed to have the same name as the operator.

    Attributes
    protected
    Definition Classes
    Theory
  38. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  39. def main(args: Array[String]): Unit
    Definition Classes
    Theory
  40. val mul0eq: LemmaHandle
  41. val mul0l: LemmaHandle
  42. val mul1: LemmaHandle
  43. val mul1eq: LemmaHandle
  44. val mulac1inst: LemmaHandle
  45. val muladd: LemmaHandle
  46. val mulassoc: LemmaHandle
  47. val mulcomm: LemmaHandle
  48. val mulcommiff: LemmaHandle
  49. val muleq1: LemmaHandle
  50. val mulid: LemmaHandle
  51. val mulinj: LemmaHandle
  52. val mulinjr: LemmaHandle
  53. val mulsl: LemmaHandle
  54. val mulsub: LemmaHandle
  55. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  56. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @IntrinsicCandidate()
  57. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @IntrinsicCandidate()
  58. val pow1: LemmaHandle
  59. val powadd: LemmaHandle
  60. val poweq1: LemmaHandle
  61. val powmull: LemmaHandle
  62. val powmulr: LemmaHandle
  63. def proof(name: String): LKProof
    Definition Classes
    Theory
  64. def proofsHere: Vector[(String, Eval[DelayedProofResult])]
    Definition Classes
    Theory0
  65. val sinj: LemmaHandle
  66. val sne0: LemmaHandle
  67. val sor0: LemmaHandle
  68. val sp: LemmaHandle
  69. val sub0l: LemmaHandle
  70. val subadd: LemmaHandle
  71. val subaddl: LemmaHandle
  72. val subaddr: LemmaHandle
  73. val subpl: LemmaHandle
  74. val subps: LemmaHandle
  75. val subself: LemmaHandle
  76. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  77. def toString(): String
    Definition Classes
    AnyRef → Any
  78. val transitiveImports: Vector[Theory]
    Definition Classes
    Theory
  79. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  80. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  81. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.Throwable]) @Deprecated @deprecated
    Deprecated

    (Since version ) see corresponding Javadoc for more information.

Inherited from Theory

Inherited from Theory0

Inherited from AnyRef

Inherited from Any

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