case class ExtendedDepFunction[U <: Term with Subs[U], V, X <: Term with Subs[X], Y](dfn: (V) => Y, domrep: ScalaRep[U, V], codomreps: (V) => ScalaRep[X, Y], fibers: TypFamily[U, X]) extends FuncLike[U, X] with Product with Serializable
formal extension of a dependent function.
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- ExtendedDepFunction
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- FuncLike
- Function1
- Term
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- Any
- by UnliftOps
- by RepSection
- by ScalaTerm
- by any2stringadd
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- by Ensuring
- by ArrowAssoc
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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 ExtendedDepFunction[U, V, X, Y] toany2stringadd[ExtendedDepFunction[U, V, X, Y]] performed by method any2stringadd in scala.Predef.
- Definition Classes
- any2stringadd
- def ->[B](y: B): (ExtendedDepFunction[U, V, X, Y], B)
- Implicit
- This member is added by an implicit conversion from ExtendedDepFunction[U, V, X, Y] toArrowAssoc[ExtendedDepFunction[U, V, X, Y]] performed by method ArrowAssoc in scala.Predef.This conversion will take place only if X is a subclass of ScalaRep[Nothing, Nothing] with Option[Nothing] (X <: ScalaRep[Nothing, Nothing] with Option[Nothing]).
- Definition Classes
- ArrowAssoc
- Annotations
- @inline()
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- def act(u: U): X
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
- ExtendedDepFunction → FuncLike
- def andThen[A](g: (X) => A): (U) => A
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- def apply(arg: U): X
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: U): X
- Definition Classes
- FuncLike
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- def canApply(arg: U): 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
- FuncLike
- def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
- val codomreps: (V) => ScalaRep[X, Y]
- def compose[A](g: (A) => U): (A) => X
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- val depcodom: (U) => Typ[X]
- Definition Classes
- ExtendedDepFunction → FuncLike
- def dependsOn(that: Term): Boolean
returns whether
this
depends onthat
returns whether
this
depends onthat
- Definition Classes
- Term
- val dfn: (V) => Y
- val dom: Typ[U]
- Definition Classes
- ExtendedDepFunction → FuncLike
- val domrep: ScalaRep[U, V]
- def ensuring(cond: (ExtendedDepFunction[U, V, X, Y]) => Boolean, msg: => Any): ExtendedDepFunction[U, V, X, Y]
- Implicit
- This member is added by an implicit conversion from ExtendedDepFunction[U, V, X, Y] toEnsuring[ExtendedDepFunction[U, V, X, Y]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: (ExtendedDepFunction[U, V, X, Y]) => Boolean): ExtendedDepFunction[U, V, X, Y]
- Implicit
- This member is added by an implicit conversion from ExtendedDepFunction[U, V, X, Y] toEnsuring[ExtendedDepFunction[U, V, X, Y]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: Boolean, msg: => Any): ExtendedDepFunction[U, V, X, Y]
- Implicit
- This member is added by an implicit conversion from ExtendedDepFunction[U, V, X, Y] toEnsuring[ExtendedDepFunction[U, V, X, Y]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: Boolean): ExtendedDepFunction[U, V, X, Y]
- Implicit
- This member is added by an implicit conversion from ExtendedDepFunction[U, V, X, Y] toEnsuring[ExtendedDepFunction[U, V, X, Y]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- val fibers: TypFamily[U, X]
- def formatted(fmtstr: String): String
- Implicit
- This member is added by an implicit conversion from ExtendedDepFunction[U, V, X, Y] toStringFormat[ExtendedDepFunction[U, V, 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()
- def indepOf(that: Term): Boolean
returns whether
this
is independent ofthat
.returns whether
this
is independent ofthat
.- Definition Classes
- Term
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- final def ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def newobj: FuncLike[U, X]
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
- ExtendedDepFunction → Subs
- final def notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- final def notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- def productElementNames: Iterator[String]
- Definition Classes
- Product
- def replace(x: Term, y: Term): FuncLike[U, X] with Subs[FuncLike[U, X]]
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): FuncLike[U, X]
substitute x by y recursively in
this
.substitute x by y recursively in
this
.- Definition Classes
- ExtendedDepFunction → FuncLike → Subs
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- def term: U
- Implicit
- This member is added by an implicit conversion from ExtendedDepFunction[U, V, X, Y] toScalaTerm[U, ExtendedDepFunction[U, V, X, Y]] performed by method ScalaTerm in provingground.scalahott.ScalaRep.This conversion will take place only if an implicit value of type ScalaRep[U, ExtendedDepFunction[U, V, X, Y]] is in scope.
- Definition Classes
- ScalaTerm
- def toString(): String
- Definition Classes
- Function1 → AnyRef → Any
- val typ: PiDefn[U, X]
the HoTT-type of the term
the HoTT-type of the term
- Definition Classes
- ExtendedDepFunction → FuncLike → Term
- def unlift: PartialFunction[U, B]
- Implicit
- This member is added by an implicit conversion from ExtendedDepFunction[U, V, X, Y] toUnliftOps[U, B] performed by method UnliftOps in scala.Function1.This conversion will take place only if X is a subclass of Option[B] (X <: Option[B]).
- Definition Classes
- UnliftOps
- 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
- 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])
- def ~~>:[U <: Term with Subs[U]](domrep: ScalaRep[U, U]): DepFuncRep[U, U, Term, Y]
- Implicit
- This member is added by an implicit conversion from ExtendedDepFunction[U, V, X, Y] toRepSection[U, X, Y] performed by method RepSection in provingground.scalahott.ScalaRep.This conversion will take place only if X is a subclass of ScalaRep[X, Y] (X <: ScalaRep[X, Y]).
- Definition Classes
- RepSection
Deprecated Value Members
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable]) @Deprecated
- Deprecated
- def →[B](y: B): (ExtendedDepFunction[U, V, X, Y], B)
- Implicit
- This member is added by an implicit conversion from ExtendedDepFunction[U, V, X, Y] toArrowAssoc[ExtendedDepFunction[U, V, X, Y]] performed by method ArrowAssoc in scala.Predef.This conversion will take place only if X is a subclass of ScalaRep[Nothing, Nothing] with Option[Nothing] (X <: ScalaRep[Nothing, Nothing] with 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.