case class IdFmlyPtn[O <: Term with Subs[O], C <: Term with Subs[C]]() extends FmlyPtn[O, C, Typ[O]] with Product with Serializable
The identity family
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- IdFmlyPtn
- Serializable
- Product
- Equals
- FmlyPtn
- AnyRef
- Any
- by any2stringadd
- by StringFormat
- by Ensuring
- by ArrowAssoc
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- Public
- Protected
Instance Constructors
- new IdFmlyPtn()
Type Members
- type ArgType = Term
type of total index
- type Cod = C
- Definition Classes
- FmlyPtn
- type DepTargetType = C
- type FamilyType = Typ[O]
type of W, i.e., sections to a universe.
type of W, i.e., sections to a universe.
- Definition Classes
- FmlyPtn
- type IterDepFunc = FuncLike[O, C]
- type IterFunc = Func[O, C]
Type of Curried function to X.
- type IterTypFunc = Func[O, Typ[C]]
Type of curried function to typ[X]
- type TargetType = C
- type Total = O
type of the total space, i.e., all terms in some W.
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): (IdFmlyPtn[O, C], B)
- def ->:[TT <: Term with Subs[TT]](tail: Typ[TT]): FmlyPtn[O, C, Func[TT, Typ[O]]]
- Definition Classes
- FmlyPtn
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- def apply(W: Typ[O]): Typ[O]
- def arg(x: Total): Term
- def argOpt(l: List[Term]): Option[ArgType]
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
- def contractType(w: FamilyType)(arg: ArgType): Typ[O]
- def curry(f: Func[Total, Cod]): IterFunc
- def curryTyp(w: Func[Total, Typ[Cod]]): IterTypFunc
- def depCurry(f: FuncLike[Total, Cod]): IterDepFunc
- def depFill(g: IterDepFunc)(arg: ArgType): FuncLike[O, C]
- def depTarget(xs: Func[O, Typ[Cod]]): Func[O, Typ[Cod]]
- def depTotalDomain(g: IterDepFunc): Typ[O]
- def depUncurry(g: IterDepFunc): FuncLike[Total, Cod]
- def domTotal(w: FamilyType): Typ[Total]
- def ensuring(cond: (IdFmlyPtn[O, C]) => Boolean, msg: => Any): IdFmlyPtn[O, C]
- def ensuring(cond: (IdFmlyPtn[O, C]) => Boolean): IdFmlyPtn[O, C]
- def ensuring(cond: Boolean, msg: => Any): IdFmlyPtn[O, C]
- def ensuring(cond: Boolean): IdFmlyPtn[O, C]
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def fill(g: IterFunc)(arg: ArgType): Func[O, C]
- def formatted(fmtstr: String): String
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- def incl(term: O, arg: ArgType, w: FamilyType): Total
- def induced(f: Func[O, C]): Func[O, C]
induced function is the given one.
- def inducedDep(f: FuncLike[O, C]): FuncLike[O, C]
induced function is the given one.
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- def iterDepFuncTyp(w: FamilyType, xs: IterTypFunc): PiDefn[O, C]
- def iterFuncTyp(w: FamilyType, x: Typ[Cod]): Typ[IterFunc]
- val me: FmlyPtn[O, C, Typ[O]] { ... /* 5 definitions in type refinement */ }
- Definition Classes
- FmlyPtn
- 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 productElementNames: Iterator[String]
- Definition Classes
- Product
- def subs(x: Term, y: Term): IdFmlyPtn[O, C]
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- def target(x: Typ[Cod]): Typ[Cod]
- def totalDomain(g: IterFunc): Typ[O]
- def totalTypDomain(g: IterTypFunc): Typ[Total]
- def uncurry(g: IterFunc): Func[Total, Cod]
- def uncurryTyp(g: IterTypFunc): Func[Total, Typ[Cod]]
- val univLevel: Int
the universe containing the type
- def value(x: Total): O
project an element of the total type to its value, i.e., drop arguments
- 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 withCod[CC <: Term with Subs[CC]](w: Typ[O]): IdFmlyPtn[O, CC]
- def ~>:[TT <: Term with Subs[TT]](tailVar: TT): FmlyPtn[O, C, FuncLike[TT, Typ[O]]]
- Definition Classes
- FmlyPtn
Deprecated Value Members
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable]) @Deprecated
- Deprecated
- def →[B](y: B): (IdFmlyPtn[O, C], B)
- Implicit
- This member is added by an implicit conversion from IdFmlyPtn[O, C] toArrowAssoc[IdFmlyPtn[O, C]] performed by method ArrowAssoc in scala.Predef.
- 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.