Packages

sealed trait ConstructorPatternMap[Cod <: Term with Subs[Cod], ConstructorType <: Term with Subs[ConstructorType], H <: Term with Subs[H], RecDataType <: Term with Subs[RecDataType], InducDataType <: Term with Subs[InducDataType]] extends AnyRef

Introduction rule for an inductive type, as in ConstructorShape with the scala type of the codomain specified; hence the scala type of the recurion and induction types are determined. The definitions of recursion and induction functions for the case matching the introduction rule are the abstract methods recDefCase and inducDefCase.

Cod

the scala type of the codomain.

ConstructorType

the scala type of the introduction rule

H

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

RecDataType

type of data for recursive definitions for the case corresponding to this introduction rule.

InducDataType

type of data for inductive definitions for the case corresponding to this introduction rule. this is used indirectly through ConstructorSeqTL

Self Type
ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]
Linear Supertypes
AnyRef, Any
Known Subclasses
CnstDepFuncPtnMap, CnstFncPtnMap, FuncPtnMap, IdTargMap, RecursiveConstructorPatternMap
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Inherited
  1. ConstructorPatternMap
  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 codFromData(d: RecDataType): Typ[Cod]
  2. abstract def inducDataTyp(w: Typ[H], xs: Func[H, Typ[Cod]])(cons: ConstructorType): Typ[InducDataType]

    domain containing the induction data for the constructor, i.e., the HoTT type of the induction data.

  3. abstract def inducDefCase(cons: ConstructorType, data: InducDataType, f: => FuncLike[H, Cod]): (H) => Option[Cod]

    given a term, matches to see if this is the image of a given (quasi)-constructor, with this constructor pattern.

    given a term, matches to see if this is the image of a given (quasi)-constructor, with this constructor pattern. optionally returns simplification (if the term matches).

    cons

    constructor, actually quasi-constructor, with which to match.

    data

    definition data for the image of the constructor.

    f

    the function being defined inductively, to be used recursively in definition.

  4. abstract def recDataTyp(w: Typ[H], x: Typ[Cod]): Typ[RecDataType]

    domain containing the recursion data for the constructor, i.e., the HoTT type of recursion data.

  5. abstract def recDefCase(cons: ConstructorType, data: RecDataType, f: => Func[H, Cod]): (H) => Option[Cod]

    given a term, matches to see if this is the image of a given (quasi)-constructor, with this constructor pattern.

    given a term, matches to see if this is the image of a given (quasi)-constructor, with this constructor pattern. optionally returns simplification (if the term matches), determined by the recursion data.

    cons

    constructor, actually quasi-constructor, with which to match.

    data

    definition data for the image of the constructor.

    f

    the function being defined recursively, to be used recursively in definition.

  6. abstract def subs(x: Term, y: Term): ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]
  7. abstract val univLevel: Int

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 ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType] toany2stringadd[ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType], B)
    Implicit
    This member is added by an implicit conversion from ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType] toArrowAssoc[ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]] 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: (ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]) => Boolean, msg: => Any): ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]
    Implicit
    This member is added by an implicit conversion from ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType] toEnsuring[ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  9. def ensuring(cond: (ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]) => Boolean): ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]
    Implicit
    This member is added by an implicit conversion from ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType] toEnsuring[ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  10. def ensuring(cond: Boolean, msg: => Any): ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]
    Implicit
    This member is added by an implicit conversion from ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType] toEnsuring[ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  11. def ensuring(cond: Boolean): ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]
    Implicit
    This member is added by an implicit conversion from ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType] toEnsuring[ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]] 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 ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType] toStringFormat[ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]] 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): (ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType], B)
    Implicit
    This member is added by an implicit conversion from ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType] toArrowAssoc[ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]] 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 fromConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType] to any2stringadd[ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]]

Inherited by implicit conversion StringFormat fromConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType] to StringFormat[ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]]

Inherited by implicit conversion Ensuring fromConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType] to Ensuring[ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]]

Inherited by implicit conversion ArrowAssoc fromConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType] to ArrowAssoc[ConstructorPatternMap[Cod, ConstructorType, H, RecDataType, InducDataType]]

Ungrouped