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sealed trait PosWit extends Term with Subs[PosWit]

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Inherited
  1. PosWit
  2. Term
  3. Subs
  4. AnyRef
  5. Any
Implicitly
  1. by RichTerm
  2. by orderingToOrdered
  3. by any2stringadd
  4. by StringFormat
  5. by Ensuring
  6. by ArrowAssoc
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Visibility
  1. Public
  2. Protected

Abstract Value Members

  1. abstract def newobj: PosWit with Subs[PosWit]

    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
  2. abstract def subs(x: Term, y: Term): PosWit with Subs[PosWit]

    substitute x by y recursively in this.

    substitute x by y recursively in this.

    Definition Classes
    Subs
  3. abstract val value: QField.LocalTerm

Concrete Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##: Int
    Definition Classes
    AnyRef → Any
  3. def +(that: PosWit): PosWitSum
  4. def ->[B](y: B): (PosWit, B)
    Implicit
    This member is added by an implicit conversion from PosWit toArrowAssoc[PosWit] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. def :->[V <: Term with Subs[V]](that: V): Func[PosWit, V]

    constructor for (pure) lambda functions, see lmbda

    constructor for (pure) lambda functions, see lmbda

    Implicit
    This member is added by an implicit conversion from PosWit toRichTerm[PosWit] performed by method RichTerm in provingground.HoTT.
    Definition Classes
    RichTerm
  6. def :~>[V <: Term with Subs[V]](that: V): FuncLike[PosWit, V]

    constructor for (in general dependent) lambda functions, see lambda

    constructor for (in general dependent) lambda functions, see lambda

    Implicit
    This member is added by an implicit conversion from PosWit toRichTerm[PosWit] performed by method RichTerm in provingground.HoTT.
    Definition Classes
    RichTerm
  7. def <(that: PosWit): Boolean
    Implicit
    This member is added by an implicit conversion from PosWit toOrdered[PosWit] performed by method orderingToOrdered in scala.math.Ordered.This conversion will take place only if an implicit value of type Ordering[PosWit] is in scope.
    Definition Classes
    Ordered
  8. def <=(that: PosWit): Boolean
    Implicit
    This member is added by an implicit conversion from PosWit toOrdered[PosWit] performed by method orderingToOrdered in scala.math.Ordered.This conversion will take place only if an implicit value of type Ordering[PosWit] is in scope.
    Definition Classes
    Ordered
  9. def =:=(rhs: PosWit): IdentityTyp[PosWit]

    equality type 'term = rhs'

    equality type 'term = rhs'

    Implicit
    This member is added by an implicit conversion from PosWit toRichTerm[PosWit] performed by method RichTerm in provingground.HoTT.
    Definition Classes
    RichTerm
  10. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  11. def >(that: PosWit): Boolean
    Implicit
    This member is added by an implicit conversion from PosWit toOrdered[PosWit] performed by method orderingToOrdered in scala.math.Ordered.This conversion will take place only if an implicit value of type Ordering[PosWit] is in scope.
    Definition Classes
    Ordered
  12. def >=(that: PosWit): Boolean
    Implicit
    This member is added by an implicit conversion from PosWit toOrdered[PosWit] performed by method orderingToOrdered in scala.math.Ordered.This conversion will take place only if an implicit value of type Ordering[PosWit] is in scope.
    Definition Classes
    Ordered
  13. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  14. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  15. def compare(that: PosWit): Int
    Implicit
    This member is added by an implicit conversion from PosWit toOrdered[PosWit] performed by method orderingToOrdered in scala.math.Ordered.This conversion will take place only if an implicit value of type Ordering[PosWit] is in scope.
    Definition Classes
    Ordered
  16. def compareTo(that: PosWit): Int
    Implicit
    This member is added by an implicit conversion from PosWit toOrdered[PosWit] performed by method orderingToOrdered in scala.math.Ordered.This conversion will take place only if an implicit value of type Ordering[PosWit] is in scope.
    Definition Classes
    Ordered → Comparable
  17. def dependsOn(that: Term): Boolean

    returns whether this depends on that

    returns whether this depends on that

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

    returns whether this is independent of that.

    returns whether this is independent of that.

    Definition Classes
    Term
  28. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  29. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  30. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  31. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  32. def refl: Refl[PosWit]

    reflexivity term refl : term = term

    reflexivity term refl : term = term

    Implicit
    This member is added by an implicit conversion from PosWit toRichTerm[PosWit] performed by method RichTerm in provingground.HoTT.
    Definition Classes
    RichTerm
  33. def replace(x: Term, y: Term): PosWit with Subs[PosWit]

    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
  34. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  35. def toString(): String
    Definition Classes
    AnyRef → Any
  36. lazy val typ: Pos

    the HoTT-type of the term

    the HoTT-type of the term

    Definition Classes
    PosWitTerm
  37. 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
    Term
  38. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  39. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  40. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])

Shadowed Implicit Value Members

  1. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from PosWit toany2stringadd[PosWit] performed by method any2stringadd in scala.Predef.
    Shadowing
    This implicitly inherited member is shadowed by one or more members in this class.
    To access this member you can use a type ascription:
    (posWit: any2stringadd[PosWit]).+(other)
    Definition Classes
    any2stringadd

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): (PosWit, B)
    Implicit
    This member is added by an implicit conversion from PosWit toArrowAssoc[PosWit] 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 Term

Inherited from Subs[PosWit]

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion RichTerm fromPosWit to RichTerm[PosWit]

Inherited by implicit conversion orderingToOrdered fromPosWit to Ordered[PosWit]

Inherited by implicit conversion any2stringadd fromPosWit to any2stringadd[PosWit]

Inherited by implicit conversion StringFormat fromPosWit to StringFormat[PosWit]

Inherited by implicit conversion Ensuring fromPosWit to Ensuring[PosWit]

Inherited by implicit conversion ArrowAssoc fromPosWit to ArrowAssoc[PosWit]

Ungrouped