Packages

case class ScalaTypUniv[A]() extends Typ[Typ[RepTerm[A]]] with BaseUniv with Product with Serializable

Linear Supertypes
Serializable, Product, Equals, BaseUniv, Typ[Typ[RepTerm[A]]], Term, Subs[Typ[Typ[RepTerm[A]]]], AnyRef, Any
Type Hierarchy
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Inherited
  1. ScalaTypUniv
  2. Serializable
  3. Product
  4. Equals
  5. BaseUniv
  6. Typ
  7. Term
  8. Subs
  9. AnyRef
  10. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. Protected

Instance Constructors

  1. new ScalaTypUniv()

Type Members

  1. type Obj = Typ[RepTerm[A]]

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

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

    Definition Classes
    ScalaTypUnivTyp

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): Typ[RepTerm[A]]

    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 >: Typ[RepTerm[A]] <: 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 >: Typ[RepTerm[A]] <: Term with Subs[UU], V <: Term with Subs[V]](variable: V): SigmaTyp[V, UU]
    Definition Classes
    Typ
  7. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from ScalaTypUniv[A] toany2stringadd[ScalaTypUniv[A]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  8. def ++[UU >: Typ[Typ[RepTerm[A]]] <: 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
  9. def ->[B](y: B): (ScalaTypUniv[A], B)
    Implicit
    This member is added by an implicit conversion from ScalaTypUniv[A] toArrowAssoc[ScalaTypUniv[A]] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  10. def ->:[W <: Term with Subs[W], UU >: Typ[RepTerm[A]] <: Term with Subs[UU]](that: Typ[W]): FuncTyp[W, UU]

    function type: this -> that

    function type: this -> that

    Definition Classes
    Typ
  11. def ::(name: String): Typ[RepTerm[A]]

    symbolic object with given name

    symbolic object with given name

    Definition Classes
    Typ
  12. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  13. def Var(implicit factory: NameFactory): Typ[RepTerm[A]]

    new variable from a factory.

    new variable from a factory.

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

    returns whether this depends on that

    returns whether this depends on that

    Definition Classes
    Term
  17. def ensuring(cond: (ScalaTypUniv[A]) => Boolean, msg: => Any): ScalaTypUniv[A]
    Implicit
    This member is added by an implicit conversion from ScalaTypUniv[A] toEnsuring[ScalaTypUniv[A]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  18. def ensuring(cond: (ScalaTypUniv[A]) => Boolean): ScalaTypUniv[A]
    Implicit
    This member is added by an implicit conversion from ScalaTypUniv[A] toEnsuring[ScalaTypUniv[A]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  19. def ensuring(cond: Boolean, msg: => Any): ScalaTypUniv[A]
    Implicit
    This member is added by an implicit conversion from ScalaTypUniv[A] toEnsuring[ScalaTypUniv[A]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  20. def ensuring(cond: Boolean): ScalaTypUniv[A]
    Implicit
    This member is added by an implicit conversion from ScalaTypUniv[A] toEnsuring[ScalaTypUniv[A]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  21. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  22. def equals(a: Any): Boolean
    Definition Classes
    BaseUniv → AnyRef → Any
  23. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from ScalaTypUniv[A] toStringFormat[ScalaTypUniv[A]] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  24. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  25. lazy val hashCode: Int
    Definition Classes
    BaseUniv → AnyRef → Any
  26. def indepOf(that: Term): Boolean

    returns whether this is independent of that.

    returns whether this is independent of that.

    Definition Classes
    Term
  27. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  28. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  29. def newobj: Typ[Typ[RepTerm[A]]]

    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
    ScalaTypUnivSubs
  30. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  31. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  32. def obj: Typ[RepTerm[A]]

    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
  33. def productElementNames: Iterator[String]
    Definition Classes
    Product
  34. def replace(x: Term, y: Term): Typ[Typ[RepTerm[A]]] with Subs[Typ[Typ[RepTerm[A]]]]

    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
  35. def subs(x: Term, y: Term): ScalaTypUniv[A]

    substitute x by y recursively in this.

    substitute x by y recursively in this.

    Definition Classes
    ScalaTypUnivSubs
  36. def sym(implicit name: Name): Typ[RepTerm[A]]

    shortcut for symbolic object

    shortcut for symbolic object

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

    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
  38. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  39. lazy val typ: HigherUniv[Typ[RepTerm[A]]]

    type of a type is a universe.

    type of a type is a universe.

    Definition Classes
    ScalaTypUnivTypTerm
  40. lazy val typlevel: Int
    Definition Classes
    Typ
  41. 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
  42. def variable(name: AnySym): SymbScalaTyp[A]

    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
    ScalaTypUnivTyp
  43. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  44. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  45. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  46. def ||[UU >: Typ[RepTerm[A]] <: 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
  47. def ~>:[UU >: Typ[RepTerm[A]] <: 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
  2. def [B](y: B): (ScalaTypUniv[A], B)
    Implicit
    This member is added by an implicit conversion from ScalaTypUniv[A] toArrowAssoc[ScalaTypUniv[A]] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @deprecated
    Deprecated

    (Since version 2.13.0) Use -> instead. If you still wish to display it as one character, consider using a font with programming ligatures such as Fira Code.

Inherited from Serializable

Inherited from Product

Inherited from Equals

Inherited from BaseUniv

Inherited from Typ[Typ[RepTerm[A]]]

Inherited from Term

Inherited from Subs[Typ[Typ[RepTerm[A]]]]

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd fromScalaTypUniv[A] to any2stringadd[ScalaTypUniv[A]]

Inherited by implicit conversion StringFormat fromScalaTypUniv[A] to StringFormat[ScalaTypUniv[A]]

Inherited by implicit conversion Ensuring fromScalaTypUniv[A] to Ensuring[ScalaTypUniv[A]]

Inherited by implicit conversion ArrowAssoc fromScalaTypUniv[A] to ArrowAssoc[ScalaTypUniv[A]]

Ungrouped