case class InducFn[W <: Term with Subs[W]](targetFmly: Func[U, Func[V, Typ[W]]], data: FuncLike[U, FuncLike[V, W]]) extends InducFuncLike[PairTerm[U, V], W] with Product with Serializable
Inductive definition
- targetFmly
type family for the Pi-type dependent codomain
- data
definition data
- Self Type
- InducFn[W]
- Alphabetic
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- InducFn
- Serializable
- Product
- Equals
- InducFuncLike
- FuncLike
- Function1
- Term
- Subs
- AnyRef
- Any
- by UnliftOps
- 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
- def ->[B](y: B): (InducFn[W], B)
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- def act(w: PairTerm[U, V]): W
the action of the function to define: define this method, but use apply.
- def andThen[A](g: (W) => A): (PairTerm[U, V]) => A
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- def apply(arg: PairTerm[U, V]): W
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: PairTerm[U, V]): W
- Definition Classes
- FuncLike
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- def baseFunction: ExstFunc
- Definition Classes
- InducFuncLike
- def canApply(arg: PairTerm[U, V]): 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()
- def compose[A](g: (A) => PairTerm[U, V]): (A) => W
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- val data: FuncLike[U, FuncLike[V, W]]
- val defnData: Vector[FuncLike[U, FuncLike[V, W]]]
the definition data for all the introduction rules
the definition data for all the introduction rules
- Definition Classes
- InducFn → InducFuncLike
- lazy val depcodom: Func[PairTerm[U, V], Typ[W]]
- def dependsOn(that: Term): Boolean
returns whether
thisdepends onthatreturns whether
thisdepends onthat- Definition Classes
- Term
- lazy val dom: ProdTyp[U, V]
- def ensuring(cond: (InducFn[W]) => Boolean, msg: => Any): InducFn[W]
- def ensuring(cond: (InducFn[W]) => Boolean): InducFn[W]
- def ensuring(cond: Boolean, msg: => Any): InducFn[W]
- def ensuring(cond: Boolean): InducFn[W]
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(that: Any): Boolean
- Definition Classes
- InducFuncLike → AnyRef → Any
- def formatted(fmtstr: String): String
- def fromData(data: Vector[Term]): InducFn[W]
- Definition Classes
- InducFn → InducFuncLike
- lazy val fullData: (Typ[PairTerm[U, V]], (PairTerm[U, V]) => Typ[W], Vector[Term])
- Definition Classes
- InducFuncLike
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- def hashCode(): Int
- Definition Classes
- InducFuncLike → AnyRef → Any
- def indepOf(that: Term): Boolean
returns whether
thisis independent ofthat.returns whether
thisis independent ofthat.- Definition Classes
- Term
- lazy val intros: Vector[Term]
- Definition Classes
- InducFn → InducFuncLike
- 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.
- 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[PairTerm[U, V], W] with Subs[FuncLike[PairTerm[U, V], W]]
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): InducFn[W]
substitute x by y recursively in
this. - final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- val targetFmly: Func[U, Func[V, Typ[W]]]
- def toString(): String
- Definition Classes
- InducFuncLike → Function1 → AnyRef → Any
- lazy val typ: GenFuncTyp[PairTerm[U, V], W]
the HoTT-type of the term
- def unlift: PartialFunction[PairTerm[U, V], B]
- 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
- InducFuncLike → 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])
- val xy: PairTerm[U, V]
Deprecated Value Members
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable]) @Deprecated
- Deprecated
- def →[B](y: B): (InducFn[W], B)
- Implicit
- This member is added by an implicit conversion from InducFn[W] toArrowAssoc[InducFn[W]] performed by method ArrowAssoc in scala.Predef.This conversion will take place only if W is a subclass of Option[Nothing] (W <: Option[Nothing]).
- Definition Classes
- ArrowAssoc
- Annotations
- @deprecated
- Deprecated
(Since version 2.13.0) Use
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