Packages

trait AtomicTerm extends Term with Subs[AtomicTerm]

Objects with simple substitution.

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

Abstract Value Members

  1. abstract val typ: Typ[U] forSome {type U >: AtomicTerm.this.type <: Term with Subs[U]}

    the HoTT-type of the term

    the HoTT-type of the term

    Definition Classes
    Term

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 AtomicTerm toany2stringadd[AtomicTerm] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (AtomicTerm, B)
    Implicit
    This member is added by an implicit conversion from AtomicTerm toArrowAssoc[AtomicTerm] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. def :->[V <: Term with Subs[V]](that: V): Func[AtomicTerm, 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 AtomicTerm toRichTerm[AtomicTerm] performed by method RichTerm in provingground.HoTT.
    Definition Classes
    RichTerm
  6. def :~>[V <: Term with Subs[V]](that: V): FuncLike[AtomicTerm, 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 AtomicTerm toRichTerm[AtomicTerm] performed by method RichTerm in provingground.HoTT.
    Definition Classes
    RichTerm
  7. def =:=(rhs: AtomicTerm): IdentityTyp[AtomicTerm]

    equality type 'term = rhs'

    equality type 'term = rhs'

    Implicit
    This member is added by an implicit conversion from AtomicTerm toRichTerm[AtomicTerm] performed by method RichTerm in provingground.HoTT.
    Definition Classes
    RichTerm
  8. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  9. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  10. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  11. def dependsOn(that: Term): Boolean

    returns whether this depends on that

    returns whether this depends on that

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

    returns whether this is independent of that.

    returns whether this is independent of that.

    Definition Classes
    Term
  22. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  23. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  24. def newobj: AtomicTerm

    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
    AtomicTermSubs
  25. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  26. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  27. def refl: Refl[AtomicTerm]

    reflexivity term refl : term = term

    reflexivity term refl : term = term

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

    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
  29. def subs(x: Term, y: Term): AtomicTerm

    substitute x by y recursively in this.

    substitute x by y recursively in this.

    Definition Classes
    AtomicTermSubs
  30. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  31. def toString(): String
    Definition Classes
    AnyRef → Any
  32. 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
  33. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  34. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  35. 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): (AtomicTerm, B)
    Implicit
    This member is added by an implicit conversion from AtomicTerm toArrowAssoc[AtomicTerm] 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[AtomicTerm]

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion RichTerm fromAtomicTerm to RichTerm[AtomicTerm]

Inherited by implicit conversion any2stringadd fromAtomicTerm to any2stringadd[AtomicTerm]

Inherited by implicit conversion StringFormat fromAtomicTerm to StringFormat[AtomicTerm]

Inherited by implicit conversion Ensuring fromAtomicTerm to Ensuring[AtomicTerm]

Inherited by implicit conversion ArrowAssoc fromAtomicTerm to ArrowAssoc[AtomicTerm]

Ungrouped