Packages

case class LambdaTerm[X <: Term with Subs[X], Y <: Term with Subs[Y]](variable: X, value: Y) extends LambdaLike[X, Y] with Product with Serializable

functions given by lambda, which may be dependent; even if it is pure, the scala type does not show this; one should usually not use the constructor of this case class, instead use the function lmbda or the syntactic sugar for this, e.g.

val f = x :~> y

Note the :~>, not :-> These create a new variable to avoid name collisions.

Linear Supertypes
Serializable, Product, Equals, LambdaLike[X, Y], FuncLike[X, Y], (X) => Y, Term, Subs[FuncLike[X, Y]], AnyRef, Any
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. LambdaTerm
  2. Serializable
  3. Product
  4. Equals
  5. LambdaLike
  6. FuncLike
  7. Function1
  8. Term
  9. Subs
  10. AnyRef
  11. Any
Implicitly
  1. by UnliftOps
  2. by any2stringadd
  3. by StringFormat
  4. by Ensuring
  5. by ArrowAssoc
  1. Hide All
  2. Show All
Visibility
  1. Public
  2. Protected

Instance Constructors

  1. new LambdaTerm(variable: X, value: Y)

Type Members

  1. type Cod = Y
    Definition Classes
    LambdaLike
  2. type D = X
    Definition Classes
    LambdaLike
  3. abstract type Obj <: FuncLike[X, Y]
    Definition Classes
    FuncLike

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##: Int
    Definition Classes
    AnyRef → Any
  3. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from LambdaTerm[X, Y] toany2stringadd[LambdaTerm[X, Y]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (LambdaTerm[X, Y], B)
    Implicit
    This member is added by an implicit conversion from LambdaTerm[X, Y] toArrowAssoc[LambdaTerm[X, Y]] performed by method ArrowAssoc in scala.Predef.This conversion will take place only if Y is a subclass of Option[Nothing] (Y <: Option[Nothing]).
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. def act(arg: X): Y

    the action of the function to define: define this method, but use apply.

    the action of the function to define: define this method, but use apply.

    Definition Classes
    LambdaLikeFuncLike
  7. def andThen[A](g: (Y) => A): (X) => A
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  8. def andthen[Z <: Term with Subs[Z]](f: (Y) => Z): LambdaTerm[X, Z]
    Definition Classes
    LambdaLike
  9. def apply(arg: X): Y

    application of the function: use this but define the act method; checks HoTT-type of argument is in the domain and throws exception if it fails.

    application of the function: use this but define the act method; checks HoTT-type of argument is in the domain and throws exception if it fails.

    Definition Classes
    FuncLike → Function1
  10. def applyUnchecked(arg: X): Y
    Definition Classes
    FuncLike
  11. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  12. def canApply(arg: X): Boolean

    checks if application is valid; can override to allow for example resizing universes

    checks if application is valid; can override to allow for example resizing universes

    arg

    the argument

    returns

    whether the argument has the correct type.

    Definition Classes
    LambdaLikeFuncLike
  13. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  14. def compose[A](g: (A) => X): (A) => Y
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  15. val dep: Boolean
    Definition Classes
    LambdaTermLambdaLike
  16. val depcodom: (X) => Typ[Y]
    Definition Classes
    LambdaTermFuncLike
  17. def dependsOn(that: Term): Boolean

    returns whether this depends on that

    returns whether this depends on that

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

    returns whether this is independent of that.

    returns whether this is independent of that.

    Definition Classes
    Term
  29. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  30. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  31. def newobj: LambdaTerm[X, Y]

    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
    LambdaTermSubs
  32. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  33. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  34. def productElementNames: Iterator[String]
    Definition Classes
    Product
  35. def replace(x: Term, y: Term): FuncLike[X, Y] with Subs[FuncLike[X, Y]]

    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
  36. def subs(x: Term, y: Term): LambdaLike[X, Y]

    substitute x by y recursively in this.

    substitute x by y recursively in this.

    Definition Classes
    LambdaLikeFuncLikeSubs
  37. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  38. def toString(): String
    Definition Classes
    LambdaLike → Function1 → AnyRef → Any
  39. lazy val typ: Typ[FuncLike[X, Y]]

    the HoTT-type of the term

    the HoTT-type of the term

    Definition Classes
    LambdaLikeFuncLikeTerm
  40. def unlift: PartialFunction[X, B]
    Implicit
    This member is added by an implicit conversion from LambdaTerm[X, Y] toUnliftOps[X, B] performed by method UnliftOps in scala.Function1.This conversion will take place only if Y is a subclass of Option[B] (Y <: Option[B]).
    Definition Classes
    UnliftOps
  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
    LambdaLikeTerm
  42. val value: Y

    the value y in the lambda definition x mapsto y

    the value y in the lambda definition x mapsto y

    Definition Classes
    LambdaTermLambdaLike
  43. val variable: X

    the variable x in the lambda definition x \mapsto y

    the variable x in the lambda definition x \mapsto y

    Definition Classes
    LambdaTermLambdaLike
  44. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  45. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  46. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])

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): (LambdaTerm[X, Y], B)
    Implicit
    This member is added by an implicit conversion from LambdaTerm[X, Y] toArrowAssoc[LambdaTerm[X, Y]] performed by method ArrowAssoc in scala.Predef.This conversion will take place only if Y is a subclass of Option[Nothing] (Y <: Option[Nothing]).
    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 LambdaLike[X, Y]

Inherited from FuncLike[X, Y]

Inherited from (X) => Y

Inherited from Term

Inherited from Subs[FuncLike[X, Y]]

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion UnliftOps fromLambdaTerm[X, Y] to UnliftOps[X, B]

Inherited by implicit conversion any2stringadd fromLambdaTerm[X, Y] to any2stringadd[LambdaTerm[X, Y]]

Inherited by implicit conversion StringFormat fromLambdaTerm[X, Y] to StringFormat[LambdaTerm[X, Y]]

Inherited by implicit conversion Ensuring fromLambdaTerm[X, Y] to Ensuring[LambdaTerm[X, Y]]

Inherited by implicit conversion ArrowAssoc fromLambdaTerm[X, Y] to ArrowAssoc[LambdaTerm[X, Y]]

Ungrouped