Packages

sealed trait LambdaLike[X <: Term with Subs[X], Y <: Term with Subs[Y]] extends FuncLike[X, Y]

A lambda-expression; variable is mapped to value. This may or may not be a dependent function. If it is required at compile time that it is not dependent, and hence has scala type Func, then use the class LambdaFixed

Note

Equality is overriden here, so that pure functions disguised as dependent ones can be equal to undisguised pure functions.

Linear Supertypes
FuncLike[X, Y], (X) => Y, Term, Subs[FuncLike[X, Y]], AnyRef, Any
Known Subclasses
LambdaFixed, LambdaTerm
Type Hierarchy
Ordering
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  2. By Inheritance
Inherited
  1. LambdaLike
  2. FuncLike
  3. Function1
  4. Term
  5. Subs
  6. AnyRef
  7. Any
Implicitly
  1. by UnliftOps
  2. by any2stringadd
  3. by StringFormat
  4. by Ensuring
  5. by ArrowAssoc
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Visibility
  1. Public
  2. Protected

Type Members

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

Abstract Value Members

  1. abstract val dep: Boolean
  2. abstract val depcodom: (X) => Typ[Y]
    Definition Classes
    FuncLike
  3. abstract def newobj: FuncLike[X, Y] with Subs[FuncLike[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
    Subs
  4. abstract val value: Y

    the value y in the lambda definition x mapsto y

  5. abstract val variable: X

    the variable x in the lambda definition x \mapsto y

Concrete Value Members

  1. 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
    LambdaLike → FuncLike
  2. def andThen[A](g: (Y) => A): (X) => A
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  3. def andthen[Z <: Term with Subs[Z]](f: (Y) => Z): LambdaTerm[X, Z]
  4. 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
  5. def applyUnchecked(arg: X): Y
    Definition Classes
    FuncLike
  6. 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
    LambdaLike → FuncLike
  7. def compose[A](g: (A) => X): (A) => Y
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  8. def dependsOn(that: Term): Boolean

    returns whether this depends on that

    returns whether this depends on that

    Definition Classes
    Term
  9. lazy val dom: Typ[X]
    Definition Classes
    LambdaLike → FuncLike
  10. def equals(that: Any): Boolean
    Definition Classes
    LambdaLike → AnyRef → Any
  11. lazy val hashCode: Int
    Definition Classes
    LambdaLike → AnyRef → Any
  12. def indepOf(that: Term): Boolean

    returns whether this is independent of that.

    returns whether this is independent of that.

    Definition Classes
    Term
  13. 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
  14. 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
    LambdaLike → FuncLike → Subs
  15. def toString(): String
    Definition Classes
    LambdaLike → Function1 → AnyRef → Any
  16. lazy val typ: Typ[FuncLike[X, Y]]

    the HoTT-type of the term

    the HoTT-type of the term

    Definition Classes
    LambdaLike → FuncLike → Term
  17. def unlift: PartialFunction[X, B]
    Implicit
    This member is added by an implicit conversion from LambdaLike[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
  18. 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
    LambdaLike → Term