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object natorder 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. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  5. def addNow(update: Update): Unit
    Attributes
    protected
    Definition Classes
    Theory0
  6. def addProof(name: Expr, proof: ⇒ LKProof): Unit
    Attributes
    protected
    Definition Classes
    Theory0
  7. val addbnd: LemmaHandle
  8. val addlecancell: LemmaHandle
  9. val addlecancelr: LemmaHandle
  10. val addmon: LemmaHandle
  11. val addsmonl: LemmaHandle
  12. val addsmonr: LemmaHandle
  13. val addsub: LemmaHandle
  14. def allProofs: Vector[(String, Eval[DelayedProofResult])]
    Definition Classes
    Theory
  15. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  16. 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
  17. 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
  18. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  19. 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
  20. implicit def ctx: Context
    Definition Classes
    Theory0
  21. def ctxWithProofDefinitions(): ImmutableContext
    Definition Classes
    Theory
  22. implicit def curCtx: Context
    Attributes
    protected
    Definition Classes
    Theory
  23. def dfn(eqn: Formula): Unit
    Attributes
    protected
    Definition Classes
    Theory
  24. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  25. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  26. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  27. def fun(c: Const, equations: String*): Unit
    Attributes
    protected
    Definition Classes
    Theory
  28. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  29. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  30. val imports: List[Theory]
    Definition Classes
    Theory0
  31. def indTy(ty0: Ty, ctrs: Const*): Unit
    Attributes
    protected
    Definition Classes
    Theory
  32. 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
  33. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  34. val le0l: LemmaHandle
  35. val le0r: LemmaHandle
  36. val leadd: LemmaHandle
  37. val leaddr: LemmaHandle
  38. val leantisymm: LemmaHandle
  39. val lemul: LemmaHandle
  40. val lepl: LemmaHandle
  41. val lepr: LemmaHandle
  42. val lerefl: LemmaHandle
  43. val les0: LemmaHandle
  44. val lesl: LemmaHandle
  45. val lesr: LemmaHandle
  46. val less: LemmaHandle
  47. val lesub: LemmaHandle
  48. val lesuc: LemmaHandle
  49. val letotal: LemmaHandle
  50. val letrans: LemmaHandle
  51. val lt0l: LemmaHandle
  52. val lt0r: LemmaHandle
  53. val lt0s: LemmaHandle
  54. val ltirrefl: LemmaHandle
  55. val ltmull: LemmaHandle
  56. val ltmulr: LemmaHandle
  57. val ltsl: LemmaHandle
  58. val ltsr: LemmaHandle
  59. val ltss: LemmaHandle
  60. val ltsuc: LemmaHandle
  61. val lttrans: LemmaHandle
  62. def main(args: Array[String]): Unit
    Definition Classes
    Theory
  63. val mulbnd: LemmaHandle
  64. val mulmon: LemmaHandle
  65. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  66. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  67. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  68. val notle: LemmaHandle
  69. def proof(name: String): LKProof
    Definition Classes
    Theory
  70. def proofsHere: Vector[(String, Eval[DelayedProofResult])]
    Definition Classes
    Theory0
  71. val subeq0: LemmaHandle
  72. val submon: LemmaHandle
  73. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  74. def toString(): String
    Definition Classes
    AnyRef → Any
  75. val transitiveImports: Vector[Theory]
    Definition Classes
    Theory
  76. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  77. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  78. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )

Inherited from Theory

Inherited from Theory0

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