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
Type Hierarchy
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- IndexedConstructorSeqMap
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- Any
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- by any2stringadd
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- by ArrowAssoc
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Visibility
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- Protected
Abstract Value Members
- abstract val W: F
the index type family
- abstract val family: TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]
the inductive type family
- abstract def inducDataLambda(fibre: IDFT): (IDF) => InducType
- 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
- abstract def recDataLambda(X: Typ[C]): (IF) => RecType
- 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
- abstract def subs(x: Term, y: Term): IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]
Concrete Value Members
- final def !=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def ##: Int
- Definition Classes
- AnyRef → Any
- 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
- 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()
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- 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 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
- 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
- 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
- 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
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef → Any
- 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()
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- def hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- def induc(fibre: IDFT): InducType
the induction function
- def inducF(fibre: Term): InducType
the induction function with type casting
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- 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 rec(X: Typ[C]): RecType
the recursion function
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- def toString(): String
- Definition Classes
- AnyRef → Any
- 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])
Deprecated Value Members
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable]) @Deprecated
- Deprecated
- 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
Value Members
- final def !=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def ##: Int
- Definition Classes
- AnyRef → Any
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef → Any
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- def hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- 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()
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- def toString(): String
- Definition Classes
- AnyRef → Any
- 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 finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable]) @Deprecated
- Deprecated
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]]
Value Members
- 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
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]]
Value Members
- 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()
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]]
Value Members
- 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
- 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
- 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
- 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
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]]
Value Members
- 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()
- 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.
Ungrouped
- abstract val W: F
the index type family
- abstract val family: TypFamilyMap[H, F, C, Index, IF, IDF, IDFT]
the inductive type family
- abstract def inducDataLambda(fibre: IDFT): (IDF) => InducType
- 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
- abstract def recDataLambda(X: Typ[C]): (IF) => RecType
- 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
- abstract def subs(x: Term, y: Term): IndexedConstructorSeqMap[C, H, RecType, InducType, Intros, F, Index, IF, IDF, IDFT]
- final def !=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def ##: Int
- Definition Classes
- AnyRef → Any
- 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
- 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()
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- 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 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
- 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
- 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
- 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
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def equals(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef → Any
- 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()
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- def hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- def induc(fibre: IDFT): InducType
the induction function
- def inducF(fibre: Term): InducType
the induction function with type casting
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- 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 rec(X: Typ[C]): RecType
the recursion function
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- def toString(): String
- Definition Classes
- AnyRef → Any
- 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 finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable]) @Deprecated
- Deprecated
- 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.