trait FuncLike[W <: Term with Subs[W], +U <: Term with Subs[U]] extends Term with (W) => U with Subs[FuncLike[W, U]]
Terms that are functions or dependent functions, is a scala function, but the apply is not directly defined - instead the method FuncLike#act is defined.
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- FuncLike
- Function1
- Term
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- by UnliftOps
- by RichTerm
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- by Ensuring
- by ArrowAssoc
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Abstract Value Members
- abstract def act(arg: W): U
the action of the function to define: define this method, but use apply.
- abstract val depcodom: (W) => Typ[U]
- abstract val dom: Typ[W]
- abstract def newobj: FuncLike[W, U] with Subs[FuncLike[W, U]]
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 def subs(x: Term, y: Term): FuncLike[W, U]
substitute x by y recursively in
this. - abstract val typ: Typ[FuncLike[W, U]]
the HoTT-type of the term
Concrete Value Members
- final def !=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def ##: Int
- Definition Classes
- AnyRef → Any
- def +(other: String): String
- def ->[B](y: B): (FuncLike[W, U], B)
- def :->[V <: Term with Subs[V]](that: V): Func[FuncLike[W, U], V]
constructor for (pure) lambda functions, see lmbda
- def :~>[V <: Term with Subs[V]](that: V): FuncLike[FuncLike[W, U], V]
constructor for (in general dependent) lambda functions, see lambda
- def =:=(rhs: FuncLike[W, U]): IdentityTyp[FuncLike[W, U]]
equality type 'term = rhs'
equality type 'term = rhs'
- Implicit
- This member is added by an implicit conversion from FuncLike[W, U] toRichTerm[FuncLike[W, U]] performed by method RichTerm in provingground.HoTT.
- Definition Classes
- RichTerm
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- def andThen[A](g: (U) => A): (W) => A
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- def apply(arg: W): U
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: W): U
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- def canApply(arg: W): 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.
- def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
- def compose[A](g: (A) => W): (A) => U
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- def dependsOn(that: Term): Boolean
returns whether
thisdepends onthatreturns whether
thisdepends onthat- Definition Classes
- Term
- def ensuring(cond: (FuncLike[W, U]) => Boolean, msg: => Any): FuncLike[W, U]
- def ensuring(cond: (FuncLike[W, U]) => Boolean): FuncLike[W, U]
- def ensuring(cond: Boolean, msg: => Any): FuncLike[W, U]
- def ensuring(cond: Boolean): FuncLike[W, U]
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef → Any
- def formatted(fmtstr: String): String
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- def hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- 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 refl: Refl[FuncLike[W, U]]
reflexivity term
refl : term = termreflexivity term
refl : term = term- Implicit
- This member is added by an implicit conversion from FuncLike[W, U] toRichTerm[FuncLike[W, U]] performed by method RichTerm in provingground.HoTT.
- Definition Classes
- RichTerm
- def replace(x: Term, y: Term): FuncLike[W, U] with Subs[FuncLike[W, U]]
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
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- def toString(): String
- Definition Classes
- Function1 → AnyRef → Any
- def unlift: PartialFunction[W, B]
- Implicit
- This member is added by an implicit conversion from FuncLike[W, U] toUnliftOps[W, B] performed by method UnliftOps in scala.Function1.This conversion will take place only if U is a subclass of Option[B] (U <: 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
- 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): (FuncLike[W, U], B)
- Implicit
- This member is added by an implicit conversion from FuncLike[W, U] toArrowAssoc[FuncLike[W, U]] performed by method ArrowAssoc in scala.Predef.This conversion will take place only if U is a subclass of Option[Nothing] (U <: 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.