Packages

o

gapt.examples.theories

natdivisible

object natdivisible extends Theory

Source
nat.scala
Linear Supertypes
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. natdivisible
  2. Theory
  3. Theory0
  4. AnyRef
  5. Any
  1. Hide All
  2. Show All
Visibility
  1. Public
  2. All

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. def allProofs: Vector[(String, Eval[DelayedProofResult])]
    Definition Classes
    Theory
  8. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  9. 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
  10. 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
  11. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate() @throws( ... )
  12. 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
  13. implicit def ctx: Context
    Definition Classes
    Theory0
  14. def ctxWithProofDefinitions(): ImmutableContext
    Definition Classes
    Theory
  15. implicit def curCtx: Context
    Attributes
    protected
    Definition Classes
    Theory
  16. def dfn(eqn: Formula): Unit
    Attributes
    protected
    Definition Classes
    Theory
  17. val dvd0: LemmaHandle
  18. val dvd0l: LemmaHandle
  19. val dvd1: LemmaHandle
  20. val dvd1r: LemmaHandle
  21. val dvdantisym: LemmaHandle
  22. val dvdcancel: LemmaHandle
  23. val dvdcancel2: LemmaHandle
  24. val dvdle: LemmaHandle
  25. val dvdmod: LemmaHandle
  26. val dvdmul: LemmaHandle
  27. val dvdmulr: LemmaHandle
  28. val dvdprime: LemmaHandle
  29. val dvdprime_: LemmaHandle
  30. val dvdprime__: LemmaHandle
  31. val dvdrefl: LemmaHandle
  32. val dvds0: LemmaHandle
  33. val dvdtrans: LemmaHandle
  34. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  35. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  36. def fun(c: Const, equations: String*): Unit
    Attributes
    protected
    Definition Classes
    Theory
  37. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  38. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  39. val imports: List[Theory]
    Definition Classes
    Theory0
  40. def indTy(ty0: Ty, ctrs: Const*): Unit
    Attributes
    protected
    Definition Classes
    Theory
  41. 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
  42. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  43. def main(args: Array[String]): Unit
    Definition Classes
    Theory
  44. val muldiv: LemmaHandle
  45. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  46. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  47. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  48. val notprime0: LemmaHandle
  49. val notprime1: LemmaHandle
  50. val prime2: LemmaHandle
  51. val primecomp: LemmaHandle
  52. val primene0: LemmaHandle
  53. val primene1: LemmaHandle
  54. def proof(name: String): LKProof
    Definition Classes
    Theory
  55. def proofsHere: Vector[(String, Eval[DelayedProofResult])]
    Definition Classes
    Theory0
  56. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  57. def toString(): String
    Definition Classes
    AnyRef → Any
  58. val transitiveImports: Vector[Theory]
    Definition Classes
    Theory
  59. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  60. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  61. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )

Deprecated Value Members

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

    (Since version ) see corresponding Javadoc for more information.

Inherited from Theory

Inherited from Theory0

Inherited from AnyRef

Inherited from Any

Ungrouped