Packages

object NatTypLong extends ScalaTyp[Long]

Linear Supertypes
ScalaTyp[Long], Typ[RepTerm[Long]], Term, Subs[Typ[RepTerm[Long]]], AnyRef, Any
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Inherited
  1. NatTypLong
  2. ScalaTyp
  3. Typ
  4. Term
  5. Subs
  6. AnyRef
  7. Any
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Visibility
  1. Public
  2. Protected

Type Members

  1. type Obj = RepTerm[Long]

    scala type of objects with this HoTT-type (refining U)

    scala type of objects with this HoTT-type (refining U)

    Definition Classes
    ScalaTypTyp

Value Members

  1. object Elem

    Pattern for element of the given type.

    Pattern for element of the given type.

    Definition Classes
    Typ
  2. def !:(term: Term): RepTerm[Long]

    checks term is of this type and returns it; useful for documentation.

    checks term is of this type and returns it; useful for documentation.

    Definition Classes
    Typ
  3. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. final def ##: Int
    Definition Classes
    AnyRef → Any
  5. def &&[UU >: RepTerm[Long] <: Term with Subs[UU], V <: Term with Subs[V]](that: Typ[V]): ProdTyp[UU, V]

    returns product type, mainly to use for "and" for structures

    returns product type, mainly to use for "and" for structures

    Definition Classes
    Typ
  6. def &:[UU >: RepTerm[Long] <: Term with Subs[UU], V <: Term with Subs[V]](variable: V): SigmaTyp[V, UU]
    Definition Classes
    Typ
  7. def ++[UU >: Typ[RepTerm[Long]] <: Typ[Term] with Subs[UU], VV <: Term with Subs[VV], V <: Typ[VV] with Subs[V]](those: V): SigmaTyp[UU, VV]

    returns Sigma-Type, mainly to use as "such that", for example a group type is this with product etc.

    returns Sigma-Type, mainly to use as "such that", for example a group type is this with product etc. dependent on this.

    Definition Classes
    Typ
  8. def ->:[W <: Term with Subs[W], UU >: RepTerm[Long] <: Term with Subs[UU]](that: Typ[W]): FuncTyp[W, UU]

    function type: this -> that

    function type: this -> that

    Definition Classes
    Typ
  9. def ::(name: String): RepTerm[Long]

    symbolic object with given name

    symbolic object with given name

    Definition Classes
    Typ
  10. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  11. def Var(implicit factory: NameFactory): RepTerm[Long]

    new variable from a factory.

    new variable from a factory.

    Definition Classes
    Typ
  12. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  13. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  14. def dependsOn(that: Term): Boolean

    returns whether this depends on that

    returns whether this depends on that

    Definition Classes
    Term
  15. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  16. def equals(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef → Any
  17. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  18. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  19. def indepOf(that: Term): Boolean

    returns whether this is independent of that.

    returns whether this is independent of that.

    Definition Classes
    Term
  20. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  21. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  22. val neg: Func[RepTerm[Long], RepTerm[Long]]
  23. def newobj: Typ[RepTerm[Long]]

    A new object with the same type, to be used in place of a variable to avoid name clashes.

    A new object with the same type, to be used in place of a variable to avoid name clashes. Should throw exception when invoked for constants.

    Definition Classes
    ScalaTypSubs
  24. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  25. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  26. def obj: RepTerm[Long]

    factory for producing objects of the given type.

    factory for producing objects of the given type. can use {{innervar}} if one wants name unchanged.

    Definition Classes
    Typ
  27. val prod: Func[RepTerm[Long], Func[RepTerm[Long], RepTerm[Long]]]
  28. implicit val rep: ScalaRep[RepTerm[Long], Long]
    Definition Classes
    ScalaTyp
  29. def replace(x: Term, y: Term): Typ[RepTerm[Long]] with Subs[Typ[RepTerm[Long]]]

    refine substitution so if x and y are both of certain forms such as pairs or formal applications, components are substituted.

    refine substitution so if x and y are both of certain forms such as pairs or formal applications, components are substituted.

    Definition Classes
    Subs
  30. def subs(x: Term, y: Term): Typ[RepTerm[Long]]

    substitute x by y recursively in this.

    substitute x by y recursively in this.

    Definition Classes
    ScalaTypSubs
  31. val succ: Func[RepTerm[Long], RepTerm[Long]]
  32. val sum: Func[RepTerm[Long], Func[RepTerm[Long], RepTerm[Long]]]
  33. def sym(implicit name: Name): RepTerm[Long]

    shortcut for symbolic object

    shortcut for symbolic object

    Definition Classes
    Typ
  34. def symbObj(name: AnySym): RepTerm[Long] with Subs[RepTerm[Long]]

    A symbolic object with this HoTT type, and with scala-type Obj

    A symbolic object with this HoTT type, and with scala-type Obj

    Definition Classes
    Typ
  35. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  36. def toString(): String
    Definition Classes
    AnyRef → Any
  37. val typ: ScalaTypUniv[Long]

    type of a type is a universe.

    type of a type is a universe.

    Definition Classes
    ScalaTypTypTerm
  38. lazy val typlevel: Int
    Definition Classes
    Typ
  39. def usesVar(t: Term): Boolean

    returns whether the variable t is used as a variable in a lambda definition.

    returns whether the variable t is used as a variable in a lambda definition.

    Definition Classes
    Term
  40. def variable(name: AnySym): RepTerm[Long]

    A symbolic object with this HoTT type, and with scala-type Obj

    A symbolic object with this HoTT type, and with scala-type Obj

    Definition Classes
    ScalaTypTyp
  41. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  42. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  43. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  44. val zero: RepTerm[Long]
  45. def ||[UU >: RepTerm[Long] <: Term with Subs[UU], V <: Term with Subs[V]](that: Typ[V]): PlusTyp[UU, V]

    returns coproduct type, mainly to use for "or".

    returns coproduct type, mainly to use for "or".

    Definition Classes
    Typ
  46. def ~>:[UU >: RepTerm[Long] <: Term with Subs[UU], V <: Term with Subs[V]](variable: V): GenFuncTyp[V, UU]

    dependent function type (Pi-Type) define by a lambda: this depends on the variable, which hence gives a type family; note that a new variable is created and substituted in this to avoid name clashes.

    dependent function type (Pi-Type) define by a lambda: this depends on the variable, which hence gives a type family; note that a new variable is created and substituted in this to avoid name clashes.

    Definition Classes
    Typ

Deprecated Value Members

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

Inherited from ScalaTyp[Long]

Inherited from Typ[RepTerm[Long]]

Inherited from Term

Inherited from Subs[Typ[RepTerm[Long]]]

Inherited from AnyRef

Inherited from Any

Ungrouped