Packages

trait Term extends Subs[Term]

A HoTT term.

Self Type
Term
Linear Supertypes
Subs[Term], AnyRef, Any
Known Subclasses
AbsPair, AtomicTerm, Cnst, CnstFunc, CnstFuncLike, Composition, ConstantTerm, ConstantTyp, DepFunc, DepFuncDefn, DepPair, DepSymbolicFunc, Equality, Func, FuncDefn, FuncLike, FuncTyp, GenFuncTyp, IdentityTyp, InducFn, RecFn, IndInducFuncLike, IndRecFunc, InducFuncLike, LambdaFixed, LambdaLike, LambdaTerm, MiscAppln, NamedDepFunc, NamedFunc, OptDepFuncDefn, PairTerm, PiDefn, PiSymbolicFunc, PlusTyp, FirstIncl, InducFn, RecFn, ScndIncl, ProdTyp, InducFn, RecFn, Prop, RecFunc, Refl, SigmaTyp, InducFn, RecFn, SmallTyp, Star, SymbEquality, SymbObj, SymbProp, SymbTyp, Symbolic, SymbolicFunc, Typ, Unit, InducFn, RecFn, Universe, Zero, InducFn, RecFn, Factorize, Quotient, Truncation, IndTyp, Funcs, Funcs, InductiveDefinition, DataCons, Empty, RecursiveDefinition, DataCons, Empty, SmallBool, SmallNat, InductiveTyp, InductiveTypDefinition, Bool, Bool, isTrueTyp, yes, EnumTerm, EnumTyp, FreeGroup, IndexedVecTyp, Fin, IntTyp, N, Z, IntVector, ListTyp, ListTerm, ListTyp, Induc, Rec, NatTypLong, PlusExtendedDepFunction, PlusExtendedFunction, Pos, PosLiteral, PosWit, PosWitProd, PosWitSum, PosZero, SymbPosWit, RepTerm, ExtendedDepFunction, ExtendedFunction, ConstTerm, ExtendedDepFunction, ExtendedFunction, NatInt, RepSymbObj, SimpleConst, SimpleExtendedFunction, ScalaTyp, ScalaTypUniv, FineSymbTyp, FineUniv, FuncTypUniv, HigherUniv, VecTyp, SymbScalaTyp, AddLiteral, AddTerm, AdditiveMorphism, Homomorphism, LocalTyp, PiTerm, SigmaTerm, multLiteral, multTerm, prod, sum, SymbolicGroup, MultLiteral, MultTerm, inv, mul, VecTyp, FoldedTerm, PiTyp, PiTypUniv
Type Hierarchy
Ordering
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  2. By Inheritance
Inherited
  1. Term
  2. Subs
  3. AnyRef
  4. 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 def newobj: Term with Subs[Term]

    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): Term with Subs[Term]

    substitute x by y recursively in this.

    substitute x by y recursively in this.

    Definition Classes
    Subs
  3. abstract val typ: Typ[U] forSome {type U >: Term.this.type <: Term with Subs[U]}

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

    equality type 'term = rhs'

    equality type 'term = rhs'

    Implicit
    This member is added by an implicit conversion from Term toRichTerm[Term] 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

  12. def ensuring(cond: (Term) => Boolean, msg: => Any): Term
    Implicit
    This member is added by an implicit conversion from Term toEnsuring[Term] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  13. def ensuring(cond: (Term) => Boolean): Term
    Implicit
    This member is added by an implicit conversion from Term toEnsuring[Term] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  14. def ensuring(cond: Boolean, msg: => Any): Term
    Implicit
    This member is added by an implicit conversion from Term toEnsuring[Term] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. def ensuring(cond: Boolean): Term
    Implicit
    This member is added by an implicit conversion from Term toEnsuring[Term] 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 Term toStringFormat[Term] 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.

  22. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  23. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  24. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  25. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  26. def refl: Refl[Term]

    reflexivity term refl : term = term

    reflexivity term refl : term = term

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

    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
  28. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  29. def toString(): String
    Definition Classes
    AnyRef → Any
  30. def usesVar(t: Term): Boolean

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

  31. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  32. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  33. 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): (Term, B)
    Implicit
    This member is added by an implicit conversion from Term toArrowAssoc[Term] 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 Subs[Term]

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion RichTerm fromTerm to RichTerm[Term]

Inherited by implicit conversion any2stringadd fromTerm to any2stringadd[Term]

Inherited by implicit conversion StringFormat fromTerm to StringFormat[Term]

Inherited by implicit conversion Ensuring fromTerm to Ensuring[Term]

Inherited by implicit conversion ArrowAssoc fromTerm to ArrowAssoc[Term]

Ungrouped