Packages

sealed abstract class IndexedConstructorShape[S <: HList, H <: Term with Subs[H], Fb <: Term with Subs[Fb], ConstructorType <: Term with Subs[ConstructorType], Index <: HList] extends AnyRef

The introduction rule for an indexed inductive type; typically (A -> B -> W(x))-> C -> W(y) -> (D -> W(y)) -> W(z) as a function of W May have Pi-types instead of function types.

Usually constructed using the DSL in TLImplicits

S

formal type to capture information at type level

H

scala type of the terms of the inductive type.

Fb

scala type of the inudctive type family

ConstructorType

scala type of a constructor (introduction rule) corresponding to this pattern.

Index

scala type of the index

Linear Supertypes
AnyRef, Any
Known Subclasses
IndexedCnstDepFuncConsShape, IndexedCnstFuncConsShape, IndexedIdShape, IndexedIndexedFuncConsShape, IndexedFuncConsShape
Type Hierarchy
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Inherited
  1. IndexedConstructorShape
  2. AnyRef
  3. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. Protected

Abstract Value Members

  1. abstract def apply(tp: Fb): Typ[ConstructorType]

    returns HoTT type corresponding to the pattern given the (inductive) type family W (to be the head).

  2. abstract val family: TypFamilyPtn[H, Fb, Index]
  3. abstract def mapper[C <: Term with Subs[C], IF <: Term with Subs[IF], IDF <: Term with Subs[IDF], IDFT <: Term with Subs[IDFT]](implicit fmlyMapper: TypFamilyMapper[H, Fb, C, Index, IF, IDF, IDFT]): IndexedConstructorPatternMapper[S, C, ConstructorType, H, RecDataType, InducDataType, Fb, Index, IF, IDF, IDFT] forSome {type RecDataType <: Term with Subs[RecDataType], type InducDataType <: Term with Subs[InducDataType]}

    helper to give ConstructorPatternMap when scala type of codomain is specified.

  4. abstract def subs(x: Term, y: Term): IndexedConstructorShape[S, H, Fb, ConstructorType, Index]

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##: Int
    Definition Classes
    AnyRef → Any
  3. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from IndexedConstructorShape[S, H, Fb, ConstructorType, Index] toany2stringadd[IndexedConstructorShape[S, H, Fb, ConstructorType, Index]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def -->>:[F <: Term with Subs[F]](that: IndexedIterFuncShape[H, F, Fb, Index], ind: Index): IndexedIndexedFuncConsShape[S, H, F, ConstructorType, Fb, Index]

    returns shape that -> this' where that is of the form W(z), A -> W(z) etc; invoking this is an error if we that is independent of W

  5. def ->[B](y: B): (IndexedConstructorShape[S, H, Fb, ConstructorType, Index], B)
    Implicit
    This member is added by an implicit conversion from IndexedConstructorShape[S, H, Fb, ConstructorType, Index] toArrowAssoc[IndexedConstructorShape[S, H, Fb, ConstructorType, Index]] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  6. def ->>:[T <: Term with Subs[T]](tail: Typ[T]): IndexedCnstFuncConsShape[S, T, H, Fb, ConstructorType, Index]

    returns shape tail ->: this where tail must be independent of the inductive type W being defined.

  7. def :::(name: AnySym): IndexedConstructor[S, H, Fb, ConstructorType, Index]

    returns a variable to act as an introduction rule.

  8. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  9. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  10. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  11. def ensuring(cond: (IndexedConstructorShape[S, H, Fb, ConstructorType, Index]) => Boolean, msg: => Any): IndexedConstructorShape[S, H, Fb, ConstructorType, Index]
    Implicit
    This member is added by an implicit conversion from IndexedConstructorShape[S, H, Fb, ConstructorType, Index] toEnsuring[IndexedConstructorShape[S, H, Fb, ConstructorType, Index]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  12. def ensuring(cond: (IndexedConstructorShape[S, H, Fb, ConstructorType, Index]) => Boolean): IndexedConstructorShape[S, H, Fb, ConstructorType, Index]
    Implicit
    This member is added by an implicit conversion from IndexedConstructorShape[S, H, Fb, ConstructorType, Index] toEnsuring[IndexedConstructorShape[S, H, Fb, ConstructorType, Index]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  13. def ensuring(cond: Boolean, msg: => Any): IndexedConstructorShape[S, H, Fb, ConstructorType, Index]
    Implicit
    This member is added by an implicit conversion from IndexedConstructorShape[S, H, Fb, ConstructorType, Index] toEnsuring[IndexedConstructorShape[S, H, Fb, ConstructorType, Index]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  14. def ensuring(cond: Boolean): IndexedConstructorShape[S, H, Fb, ConstructorType, Index]
    Implicit
    This member is added by an implicit conversion from IndexedConstructorShape[S, H, Fb, ConstructorType, Index] toEnsuring[IndexedConstructorShape[S, H, Fb, ConstructorType, Index]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  16. def equals(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef → Any
  17. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from IndexedConstructorShape[S, H, Fb, ConstructorType, Index] toStringFormat[IndexedConstructorShape[S, H, Fb, ConstructorType, Index]] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  18. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  19. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  20. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  21. def mapped[C <: Term with Subs[C], IF <: Term with Subs[IF], IDF <: Term with Subs[IDF], IDFT <: Term with Subs[IDFT]](implicit fmlyMapper: TypFamilyMapper[H, Fb, C, Index, IF, IDF, IDFT]): IndexedConstructorPatternMap[C, ConstructorType, H, RecDataType, InducDataType, Fb, Index, IF, IDF, IDFT] forSome {type RecDataType <: Term with Subs[RecDataType], type InducDataType <: Term with Subs[InducDataType]}

    lift to IndexedConstructorPatternMap using the result of the mapper method.

  22. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  23. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  24. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  25. def symbcons(name: AnySym, tp: Fb): ConstructorType

    returns term giving introduction rule given inductive type and name

  26. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  27. def toString(): String
    Definition Classes
    AnyRef → Any
  28. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  29. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  30. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  31. def ~>>:[T <: Term with Subs[T]](tailVar: T): IndexedCnstDepFuncConsShape[S, T, H, Fb, ConstructorType, Index]

    returns dependent shape tail ~>: this where tail must be independent of the inductive type W being defined.

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.Throwable]) @Deprecated
    Deprecated
  2. def →[B](y: B): (IndexedConstructorShape[S, H, Fb, ConstructorType, Index], B)
    Implicit
    This member is added by an implicit conversion from IndexedConstructorShape[S, H, Fb, ConstructorType, Index] toArrowAssoc[IndexedConstructorShape[S, H, Fb, ConstructorType, Index]] 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.

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd fromIndexedConstructorShape[S, H, Fb, ConstructorType, Index] to any2stringadd[IndexedConstructorShape[S, H, Fb, ConstructorType, Index]]

Inherited by implicit conversion StringFormat fromIndexedConstructorShape[S, H, Fb, ConstructorType, Index] to StringFormat[IndexedConstructorShape[S, H, Fb, ConstructorType, Index]]

Inherited by implicit conversion Ensuring fromIndexedConstructorShape[S, H, Fb, ConstructorType, Index] to Ensuring[IndexedConstructorShape[S, H, Fb, ConstructorType, Index]]

Inherited by implicit conversion ArrowAssoc fromIndexedConstructorShape[S, H, Fb, ConstructorType, Index] to ArrowAssoc[IndexedConstructorShape[S, H, Fb, ConstructorType, Index]]

Ungrouped