Packages

abstract class TypFamilyMap[H <: Term with Subs[H], F <: Term with Subs[F], C <: Term with Subs[C], Index <: HList, IF <: Term with Subs[IF], IDF <: Term with Subs[IDF], IDFT <: Term with Subs[IDFT]] extends AnyRef

shape of a type family, together with the type of a codomain; fixing scala types of functions and dependent functions on the type family

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] methods allow restricting (dependent) functions and type families to indices and building (dependent) functions from such restrictions.

Linear Supertypes
AnyRef, Any
Known Subclasses
DepFuncTypFamilyMap, FuncTypFamilyMap, IdSubTypFamilyMap, IdTypFamilyMap
Type Hierarchy
Ordering
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  2. By Inheritance
Inherited
  1. TypFamilyMap
  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

Instance Constructors

  1. new TypFamilyMap()(implicit arg0: TermList[Index])

Abstract Value Members

  1. abstract def depRestrict(f: IDF, ind: Index): FuncLike[H, C]

    restricts iterated dependent function to an index

  2. abstract def iterDepFunc(funcs: (Index) => FuncLike[H, C]): IDF

    returns iterated dependent function given functions for each index

  3. abstract def iterDepFuncTyp(w: Typ[H], xs: IDFT): Typ[IDF]

    returns HoTT type for iterated dependent functions

  4. abstract def iterFunc(funcs: (Index) => Func[H, C]): IF

    returns iterated function given functions for each index

  5. abstract def iterFuncTyp(w: Typ[H], x: Typ[C]): Typ[IF]

    returns HoTT type for iterated functions

  6. abstract val pattern: TypFamilyPtn[H, F, Index]

    the underlying pattern (to access methods defined on it)

  7. abstract def restrict(f: IF, ind: Index): Func[H, C]

    restricts iterated function to an index

  8. abstract def subs(x: Term, y: Term): TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]
  9. abstract def typRestrict(xs: IDFT, ind: Index): Func[H, Typ[C]]

    restricts iterated type family to an 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 TypFamilyMap[H, F, C, Index, IF, IDF, IDFT] toany2stringadd[TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (TypFamilyMap[H, F, C, Index, IF, IDF, IDFT], B)
    Implicit
    This member is added by an implicit conversion from TypFamilyMap[H, F, C, Index, IF, IDF, IDFT] toArrowAssoc[TypFamilyMap[H, F, C, 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: (TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]) => Boolean, msg: => Any): TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]
    Implicit
    This member is added by an implicit conversion from TypFamilyMap[H, F, C, Index, IF, IDF, IDFT] toEnsuring[TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  9. def ensuring(cond: (TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]) => Boolean): TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]
    Implicit
    This member is added by an implicit conversion from TypFamilyMap[H, F, C, Index, IF, IDF, IDFT] toEnsuring[TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  10. def ensuring(cond: Boolean, msg: => Any): TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]
    Implicit
    This member is added by an implicit conversion from TypFamilyMap[H, F, C, Index, IF, IDF, IDFT] toEnsuring[TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  11. def ensuring(cond: Boolean): TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]
    Implicit
    This member is added by an implicit conversion from TypFamilyMap[H, F, C, Index, IF, IDF, IDFT] toEnsuring[TypFamilyMap[H, F, C, 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 TypFamilyMap[H, F, C, Index, IF, IDF, IDFT] toStringFormat[TypFamilyMap[H, F, C, 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. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  18. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  19. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  20. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  21. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  22. def toString(): String
    Definition Classes
    AnyRef → Any
  23. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  24. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  25. 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): (TypFamilyMap[H, F, C, Index, IF, IDF, IDFT], B)
    Implicit
    This member is added by an implicit conversion from TypFamilyMap[H, F, C, Index, IF, IDF, IDFT] toArrowAssoc[TypFamilyMap[H, F, C, 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 fromTypFamilyMap[H, F, C, Index, IF, IDF, IDFT] to any2stringadd[TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]]

Inherited by implicit conversion StringFormat fromTypFamilyMap[H, F, C, Index, IF, IDF, IDFT] to StringFormat[TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]]

Inherited by implicit conversion Ensuring fromTypFamilyMap[H, F, C, Index, IF, IDF, IDFT] to Ensuring[TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]]

Inherited by implicit conversion ArrowAssoc fromTypFamilyMap[H, F, C, Index, IF, IDF, IDFT] to ArrowAssoc[TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]]

Ungrouped