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.
- Alphabetic
- By Inheritance
- LambdaLike
- FuncLike
- Function1
- Term
- Subs
- AnyRef
- Any
- by UnliftOps
- by any2stringadd
- by StringFormat
- by Ensuring
- by ArrowAssoc
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- Public
- Protected
Type Members
Abstract Value Members
- abstract val dep: Boolean
- abstract val depcodom: (X) => Typ[Y]
- Definition Classes
- FuncLike
- 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
- abstract val value: Y
the value
yin the lambda definitionx mapsto y - abstract val variable: X
the variable
xin the lambda definitionx \mapsto y
Concrete Value Members
- final def !=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def ##: Int
- Definition Classes
- AnyRef → Any
- def +(other: String): String
- Implicit
- This member is added by an implicit conversion from LambdaLike[X, Y] toany2stringadd[LambdaLike[X, Y]] performed by method any2stringadd in scala.Predef.
- Definition Classes
- any2stringadd
- def ->[B](y: B): (LambdaLike[X, Y], B)
- Implicit
- This member is added by an implicit conversion from LambdaLike[X, Y] toArrowAssoc[LambdaLike[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()
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- 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
- def andThen[A](g: (Y) => A): (X) => A
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- def andthen[Z <: Term with Subs[Z]](f: (Y) => Z): LambdaTerm[X, Z]
- 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.
- def applyUnchecked(arg: X): Y
- Definition Classes
- FuncLike
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- 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
- def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
- def compose[A](g: (A) => X): (A) => Y
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- def dependsOn(that: Term): Boolean
returns whether
thisdepends onthatreturns whether
thisdepends onthat- Definition Classes
- Term
- lazy val dom: Typ[X]
- Definition Classes
- LambdaLike → FuncLike
- def ensuring(cond: (LambdaLike[X, Y]) => Boolean, msg: => Any): LambdaLike[X, Y]
- Implicit
- This member is added by an implicit conversion from LambdaLike[X, Y] toEnsuring[LambdaLike[X, Y]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: (LambdaLike[X, Y]) => Boolean): LambdaLike[X, Y]
- Implicit
- This member is added by an implicit conversion from LambdaLike[X, Y] toEnsuring[LambdaLike[X, Y]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: Boolean, msg: => Any): LambdaLike[X, Y]
- Implicit
- This member is added by an implicit conversion from LambdaLike[X, Y] toEnsuring[LambdaLike[X, Y]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: Boolean): LambdaLike[X, Y]
- Implicit
- This member is added by an implicit conversion from LambdaLike[X, Y] toEnsuring[LambdaLike[X, Y]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(that: Any): Boolean
- Definition Classes
- LambdaLike → AnyRef → Any
- def formatted(fmtstr: String): String
- Implicit
- This member is added by an implicit conversion from LambdaLike[X, Y] toStringFormat[LambdaLike[X, Y]] performed by method StringFormat in scala.Predef.
- Definition Classes
- StringFormat
- Annotations
- @inline()
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- lazy val hashCode: Int
- Definition Classes
- LambdaLike → AnyRef → Any
- def indepOf(that: Term): Boolean
returns whether
thisis independent ofthat.returns whether
thisis independent ofthat.- Definition Classes
- Term
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- final def ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- final def notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- final def notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- 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
- 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
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- def toString(): String
- Definition Classes
- LambdaLike → Function1 → AnyRef → Any
- lazy val typ: Typ[FuncLike[X, Y]]
the HoTT-type of the term
the HoTT-type of the term
- Definition Classes
- LambdaLike → FuncLike → Term
- 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
- def usesVar(t: Term): Boolean
returns whether the variable
tis used as a variable in a lambda definition.returns whether the variable
tis used as a variable in a lambda definition.- Definition Classes
- LambdaLike → Term
- final def wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException]) @native()
- final def wait(): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
Deprecated Value Members
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable]) @Deprecated
- Deprecated
- def →[B](y: B): (LambdaLike[X, Y], B)
- Implicit
- This member is added by an implicit conversion from LambdaLike[X, Y] toArrowAssoc[LambdaLike[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
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