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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[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  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: Any): Boolean
    Definition Classes
    AnyRef → Any
  32. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  33. def fun(c: Const, equations: String*): Unit
    Attributes
    protected
    Definition Classes
    Theory
  34. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  35. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  36. val imports: List[Theory]
    Definition Classes
    Theory0
  37. def indTy(ty0: Ty, ctrs: Const*): Unit
    Attributes
    protected
    Definition Classes
    Theory
  38. 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
  39. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  40. def main(args: Array[String]): Unit
    Definition Classes
    Theory
  41. val mul0eq: LemmaHandle
  42. val mul0l: LemmaHandle
  43. val mul1: LemmaHandle
  44. val mul1eq: LemmaHandle
  45. val mulac1inst: LemmaHandle
  46. val muladd: LemmaHandle
  47. val mulassoc: LemmaHandle
  48. val mulcomm: LemmaHandle
  49. val mulcommiff: LemmaHandle
  50. val muleq1: LemmaHandle
  51. val mulid: LemmaHandle
  52. val mulinj: LemmaHandle
  53. val mulinjr: LemmaHandle
  54. val mulsl: LemmaHandle
  55. val mulsub: LemmaHandle
  56. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  57. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  58. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  59. val pow1: LemmaHandle
  60. val powadd: LemmaHandle
  61. val poweq1: LemmaHandle
  62. val powmull: LemmaHandle
  63. val powmulr: LemmaHandle
  64. def proof(name: String): LKProof
    Definition Classes
    Theory
  65. def proofsHere: Vector[(String, Eval[DelayedProofResult])]
    Definition Classes
    Theory0
  66. val sinj: LemmaHandle
  67. val sne0: LemmaHandle
  68. val sor0: LemmaHandle
  69. val sp: LemmaHandle
  70. val sub0l: LemmaHandle
  71. val subadd: LemmaHandle
  72. val subaddl: LemmaHandle
  73. val subaddr: LemmaHandle
  74. val subpl: LemmaHandle
  75. val subps: LemmaHandle
  76. val subself: LemmaHandle
  77. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  78. def toString(): String
    Definition Classes
    AnyRef → Any
  79. val transitiveImports: Vector[Theory]
    Definition Classes
    Theory
  80. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  81. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  82. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )

Inherited from Theory

Inherited from Theory0

Inherited from AnyRef

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