Packages

sealed abstract class IndexedConstructorSeqMap[C <: Term with Subs[C], H <: Term with Subs[H], RecType <: Term with Subs[RecType], InducType <: Term with Subs[InducType], Intros <: HList, F <: Term with Subs[F], Index <: HList, IF <: Term with Subs[IF], IDF <: Term with Subs[IDF], IDFT <: Term with Subs[IDFT]] extends AnyRef

indexed version of ConstructorSeqMap, giving definitions of indexed recursion and induction functions.

H

the scala type of terms of an inductive type that can have this constructor.

RecType

scala type of the recursion function

InducType

scala type of the induction function

Intros

scala type of the introduction rules

Index

scala type of the index

IF

scala type of an iterated function on the inductive type family, with codomain with terms of type Cod.

IDF

scala type of an iterated dependent function on the inductive type family, with codomain with terms of type Cod.

IDFT

scala type of an iterated type family on the inductive type family, i.e., with codomain with terms of type Typ[Cod]

Linear Supertypes
AnyRef, Any
Known Subclasses
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. IndexedConstructorSeqMap
  2. AnyRef
  3. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
  1. Hide All
  2. Show All
Visibility
  1. Public
  2. Protected

Abstract Value Members

  1. abstract val W: F

    the index type family

  2. abstract val family: TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]

    the inductive type family

  3. abstract def inducDataLambda(fibre: IDFT): (IDF) => InducType
  4. abstract def inducDefn(fibre: IDFT): IndexedInductiveDefinition[H, F, C, Index, IF, IDF, IDFT]

    the raw inductive definition, from which the induction function is built by lambdas

  5. abstract def recDataLambda(X: Typ[C]): (IF) => RecType
  6. abstract def recDefn(X: Typ[C]): IndexedRecursiveDefinition[H, F, C, Index, IF, IDF, IDFT]

    the raw recursive definition, from which the recursion function is built by lambdas

  7. abstract def subs(x: Term, y: Term): IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]

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 IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT] toany2stringadd[IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT], B)
    Implicit
    This member is added by an implicit conversion from IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT] toArrowAssoc[IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  7. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  8. def ensuring(cond: (IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]) => Boolean, msg: => Any): IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]
    Implicit
    This member is added by an implicit conversion from IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT] toEnsuring[IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  9. def ensuring(cond: (IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]) => Boolean): IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]
    Implicit
    This member is added by an implicit conversion from IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT] toEnsuring[IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  10. def ensuring(cond: Boolean, msg: => Any): IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]
    Implicit
    This member is added by an implicit conversion from IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT] toEnsuring[IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  11. def ensuring(cond: Boolean): IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]
    Implicit
    This member is added by an implicit conversion from IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT] toEnsuring[IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  12. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  13. def equals(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef → Any
  14. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT] toStringFormat[IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  15. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  16. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  17. def induc(fibre: IDFT): InducType

    the induction function

  18. def inducF(fibre: Term): InducType

    the induction function with type casting

  19. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  20. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  21. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  22. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  23. def rec(X: Typ[C]): RecType

    the recursion function

  24. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  25. def toString(): String
    Definition Classes
    AnyRef → Any
  26. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  27. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  28. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])

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): (IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT], B)
    Implicit
    This member is added by an implicit conversion from IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT] toArrowAssoc[IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]] 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 fromIndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT] to any2stringadd[IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]]

Inherited by implicit conversion StringFormat fromIndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT] to StringFormat[IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]]

Inherited by implicit conversion Ensuring fromIndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT] to Ensuring[IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]]

Inherited by implicit conversion ArrowAssoc fromIndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT] to ArrowAssoc[IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]]

Ungrouped