Packages

t

provingground.HoTT

InducFuncLike

trait InducFuncLike[W <: Term with Subs[W], +U <: Term with Subs[U]] extends FuncLike[W, U]

common trait for induction functions, for serialization and pretty printing.

Linear Supertypes
FuncLike[W, U], (W) => U, Term, Subs[FuncLike[W, U]], AnyRef, Any
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. InducFuncLike
  2. FuncLike
  3. Function1
  4. Term
  5. Subs
  6. AnyRef
  7. Any
Implicitly
  1. by UnliftOps
  2. by any2stringadd
  3. by StringFormat
  4. by Ensuring
  5. by ArrowAssoc
  1. Hide All
  2. Show All
Visibility
  1. Public
  2. Protected

Type Members

  1. abstract type Obj <: FuncLike[W, U]
    Definition Classes
    FuncLike

Abstract Value Members

  1. abstract def act(arg: W): U

    the action of the function to define: define this method, but use apply.

    the action of the function to define: define this method, but use apply.

    Definition Classes
    FuncLike
  2. abstract val defnData: Vector[Term]

    the definition data for all the introduction rules

  3. abstract val depcodom: (W) => Typ[U]
    Definition Classes
    FuncLike
  4. abstract val dom: Typ[W]
    Definition Classes
    FuncLike
  5. abstract def fromData(data: Vector[Term]): InducFuncLike[W, U]
  6. abstract val intros: Vector[Term]
  7. abstract def newobj: FuncLike[W, U] with Subs[FuncLike[W, U]]

    A new object with the same type, to be used in place of a variable to avoid name clashes.

    A new object with the same type, to be used in place of a variable to avoid name clashes. Should throw exception when invoked for constants.

    Definition Classes
    Subs
  8. abstract def subs(x: Term, y: Term): FuncLike[W, U]

    substitute x by y recursively in this.

    substitute x by y recursively in this.

    Definition Classes
    FuncLikeSubs
  9. abstract val typ: Typ[FuncLike[W, U]]

    the HoTT-type of the term

    the HoTT-type of the term

    Definition Classes
    FuncLikeTerm

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 InducFuncLike[W, U] toany2stringadd[InducFuncLike[W, U]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (InducFuncLike[W, U], B)
    Implicit
    This member is added by an implicit conversion from InducFuncLike[W, U] toArrowAssoc[InducFuncLike[W, U]] performed by method ArrowAssoc in scala.Predef.This conversion will take place only if U is a subclass of Option[Nothing] (U <: Option[Nothing]).
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. def andThen[A](g: (U) => A): (W) => A
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  7. def apply(arg: W): U

    application of the function: use this but define the act method; checks HoTT-type of argument is in the domain and throws exception if it fails.

    application of the function: use this but define the act method; checks HoTT-type of argument is in the domain and throws exception if it fails.

    Definition Classes
    FuncLike → Function1
  8. def applyUnchecked(arg: W): U
    Definition Classes
    FuncLike
  9. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  10. def baseFunction: ExstFunc
  11. def canApply(arg: W): Boolean

    checks if application is valid; can override to allow for example resizing universes

    checks if application is valid; can override to allow for example resizing universes

    arg

    the argument

    returns

    whether the argument has the correct type.

    Definition Classes
    FuncLike
  12. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  13. def compose[A](g: (A) => W): (A) => U
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  14. def dependsOn(that: Term): Boolean

    returns whether this depends on that

    returns whether this depends on that

    Definition Classes
    Term
  15. def ensuring(cond: (InducFuncLike[W, U]) => Boolean, msg: => Any): InducFuncLike[W, U]
    Implicit
    This member is added by an implicit conversion from InducFuncLike[W, U] toEnsuring[InducFuncLike[W, U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  16. def ensuring(cond: (InducFuncLike[W, U]) => Boolean): InducFuncLike[W, U]
    Implicit
    This member is added by an implicit conversion from InducFuncLike[W, U] toEnsuring[InducFuncLike[W, U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  17. def ensuring(cond: Boolean, msg: => Any): InducFuncLike[W, U]
    Implicit
    This member is added by an implicit conversion from InducFuncLike[W, U] toEnsuring[InducFuncLike[W, U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  18. def ensuring(cond: Boolean): InducFuncLike[W, U]
    Implicit
    This member is added by an implicit conversion from InducFuncLike[W, U] toEnsuring[InducFuncLike[W, U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  19. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  20. def equals(that: Any): Boolean
    Definition Classes
    InducFuncLike → AnyRef → Any
  21. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from InducFuncLike[W, U] toStringFormat[InducFuncLike[W, U]] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  22. lazy val fullData: (Typ[W], (W) => Typ[U], Vector[Term])
  23. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  24. def hashCode(): Int
    Definition Classes
    InducFuncLike → AnyRef → Any
  25. def indepOf(that: Term): Boolean

    returns whether this is independent of that.

    returns whether this is independent of that.

    Definition Classes
    Term
  26. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  27. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  28. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  29. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  30. def replace(x: Term, y: Term): FuncLike[W, U] with Subs[FuncLike[W, U]]

    refine substitution so if x and y are both of certain forms such as pairs or formal applications, components are substituted.

    refine substitution so if x and y are both of certain forms such as pairs or formal applications, components are substituted.

    Definition Classes
    Subs
  31. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  32. def toString(): String
    Definition Classes
    InducFuncLike → Function1 → AnyRef → Any
  33. def unlift: PartialFunction[W, B]
    Implicit
    This member is added by an implicit conversion from InducFuncLike[W, U] toUnliftOps[W, B] performed by method UnliftOps in scala.Function1.This conversion will take place only if U is a subclass of Option[B] (U <: Option[B]).
    Definition Classes
    UnliftOps
  34. def usesVar(t: Term): Boolean

    returns whether the variable t is used as a variable in a lambda definition.

    returns whether the variable t is used as a variable in a lambda definition.

    Definition Classes
    InducFuncLikeTerm
  35. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  36. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  37. 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): (InducFuncLike[W, U], B)
    Implicit
    This member is added by an implicit conversion from InducFuncLike[W, U] toArrowAssoc[InducFuncLike[W, U]] performed by method ArrowAssoc in scala.Predef.This conversion will take place only if U is a subclass of Option[Nothing] (U <: Option[Nothing]).
    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 FuncLike[W, U]

Inherited from (W) => U

Inherited from Term

Inherited from Subs[FuncLike[W, U]]

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion UnliftOps fromInducFuncLike[W, U] to UnliftOps[W, B]

Inherited by implicit conversion any2stringadd fromInducFuncLike[W, U] to any2stringadd[InducFuncLike[W, U]]

Inherited by implicit conversion StringFormat fromInducFuncLike[W, U] to StringFormat[InducFuncLike[W, U]]

Inherited by implicit conversion Ensuring fromInducFuncLike[W, U] to Ensuring[InducFuncLike[W, U]]

Inherited by implicit conversion ArrowAssoc fromInducFuncLike[W, U] to ArrowAssoc[InducFuncLike[W, U]]

Ungrouped