case class PlusExtendedFunction[V <: Term with Subs[V]](first: Typ[Term], second: Typ[Term], codom: Typ[V], firstfn: Func[Term, V], scndfn: Func[Term, V]) extends Func[Term, V] with Subs[PlusExtendedFunction[V]] with Product with Serializable
Linear Supertypes
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- Serializable
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- FuncLike
- Function1
- Term
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- AnyRef
- Any
Implicitly
- by UnliftOps
- by RichTerm
- by any2stringadd
- by StringFormat
- by Ensuring
- by ArrowAssoc
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Instance Constructors
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 PlusExtendedFunction[V] toany2stringadd[PlusExtendedFunction[V]] performed by method any2stringadd in scala.Predef.
- Definition Classes
- any2stringadd
- def ->[B](y: B): (PlusExtendedFunction[V], B)
- Implicit
- This member is added by an implicit conversion from PlusExtendedFunction[V] toArrowAssoc[PlusExtendedFunction[V]] performed by method ArrowAssoc in scala.Predef.This conversion will take place only if V is a subclass of Option[Nothing] (V <: Option[Nothing]).
- Definition Classes
- ArrowAssoc
- Annotations
- @inline()
- def :->[V <: Term with Subs[V]](that: V): Func[PlusExtendedFunction[V], V]
constructor for (pure) lambda functions, see lmbda
constructor for (pure) lambda functions, see lmbda
- Implicit
- This member is added by an implicit conversion from PlusExtendedFunction[V] toRichTerm[PlusExtendedFunction[V]] performed by method RichTerm in provingground.HoTT.
- Definition Classes
- RichTerm
- def :~>[V <: Term with Subs[V]](that: V): FuncLike[PlusExtendedFunction[V], V]
constructor for (in general dependent) lambda functions, see lambda
constructor for (in general dependent) lambda functions, see lambda
- Implicit
- This member is added by an implicit conversion from PlusExtendedFunction[V] toRichTerm[PlusExtendedFunction[V]] performed by method RichTerm in provingground.HoTT.
- Definition Classes
- RichTerm
- def =:=(rhs: PlusExtendedFunction[V]): IdentityTyp[PlusExtendedFunction[V]]
equality type 'term = rhs'
equality type 'term = rhs'
- Implicit
- This member is added by an implicit conversion from PlusExtendedFunction[V] toRichTerm[PlusExtendedFunction[V]] performed by method RichTerm in provingground.HoTT.
- Definition Classes
- RichTerm
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- def act(u: Term): V
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
- PlusExtendedFunction → Func → FuncLike
- def andThen[A](g: (V) => A): (Term) => A
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- def apply(arg: Term): V
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: Term): V
- Definition Classes
- FuncLike
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- def canApply(arg: Term): 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 codom: Typ[V]
codomain
codomain
- Definition Classes
- PlusExtendedFunction → Func
- def compose[A](g: (A) => Term): (A) => V
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- val depcodom: (Term) => Typ[V]
- def dependsOn(that: Term): Boolean
returns whether
thisdepends onthatreturns whether
thisdepends onthat- Definition Classes
- Term
- val dom: ProdTyp[Term, Term]
domain
domain
- Definition Classes
- PlusExtendedFunction → Func → FuncLike
- def ensuring(cond: (PlusExtendedFunction[V]) => Boolean, msg: => Any): PlusExtendedFunction[V]
- Implicit
- This member is added by an implicit conversion from PlusExtendedFunction[V] toEnsuring[PlusExtendedFunction[V]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: (PlusExtendedFunction[V]) => Boolean): PlusExtendedFunction[V]
- Implicit
- This member is added by an implicit conversion from PlusExtendedFunction[V] toEnsuring[PlusExtendedFunction[V]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: Boolean, msg: => Any): PlusExtendedFunction[V]
- Implicit
- This member is added by an implicit conversion from PlusExtendedFunction[V] toEnsuring[PlusExtendedFunction[V]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- def ensuring(cond: Boolean): PlusExtendedFunction[V]
- Implicit
- This member is added by an implicit conversion from PlusExtendedFunction[V] toEnsuring[PlusExtendedFunction[V]] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- val first: Typ[Term]
- val firstfn: Func[Term, V]
- def formatted(fmtstr: String): String
- Implicit
- This member is added by an implicit conversion from PlusExtendedFunction[V] toStringFormat[PlusExtendedFunction[V]] 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
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
- def newobj: Nothing
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
- PlusExtendedFunction → 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 refl: Refl[PlusExtendedFunction[V]]
reflexivity term
refl : term = termreflexivity term
refl : term = term- Implicit
- This member is added by an implicit conversion from PlusExtendedFunction[V] toRichTerm[PlusExtendedFunction[V]] performed by method RichTerm in provingground.HoTT.
- Definition Classes
- RichTerm
- def replace(x: Term, y: Term): PlusExtendedFunction[V] with Subs[PlusExtendedFunction[V]]
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
- val scndfn: Func[Term, V]
- val second: Typ[Term]
- def subs(x: Term, y: Term): PlusExtendedFunction[V]
substitute x by y recursively in
this.substitute x by y recursively in
this.- Definition Classes
- PlusExtendedFunction → Func → FuncLike → Subs
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- def toString(): String
- Definition Classes
- Function1 → AnyRef → Any
- val typ: FuncTyp[Term, V]
the HoTT-type of the term
the HoTT-type of the term
- Definition Classes
- PlusExtendedFunction → Func → FuncLike → Term
- def unlift: PartialFunction[Term, B]
- Implicit
- This member is added by an implicit conversion from PlusExtendedFunction[V] toUnliftOps[Term, B] performed by method UnliftOps in scala.Function1.This conversion will take place only if V is a subclass of Option[B] (V <: 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): (PlusExtendedFunction[V], B)
- Implicit
- This member is added by an implicit conversion from PlusExtendedFunction[V] toArrowAssoc[PlusExtendedFunction[V]] performed by method ArrowAssoc in scala.Predef.This conversion will take place only if V is a subclass of Option[Nothing] (V <: 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.