Packages

case class AdditiveMorphism[U <: LocalTerm with Subs[U]](base: Func[LocalTerm, U], op: (U, U) => U) extends Func[LocalTerm, LocalTerm] with Product with Serializable

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Inherited
  1. AdditiveMorphism
  2. Serializable
  3. Product
  4. Equals
  5. Func
  6. FuncLike
  7. Function1
  8. Term
  9. Subs
  10. AnyRef
  11. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. Protected

Instance Constructors

  1. new AdditiveMorphism(base: Func[LocalTerm, U], op: (U, U) => U)

Type Members

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

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 AdditiveMorphism[U] toany2stringadd[AdditiveMorphism[U]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (AdditiveMorphism[U], B)
    Implicit
    This member is added by an implicit conversion from AdditiveMorphism[U] toArrowAssoc[AdditiveMorphism[U]] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. def act(x: LocalTerm): 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
    AdditiveMorphismFuncFuncLike
  7. def andThen[A](g: (LocalTerm) => A): (LocalTerm) => A
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  8. def apply(arg: LocalTerm): LocalTerm

    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
  9. def applyUnchecked(arg: LocalTerm): LocalTerm
    Definition Classes
    FuncLike
  10. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  11. val base: Func[LocalTerm, U]
  12. def canApply(arg: LocalTerm): 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
  13. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  14. val codom: Typ[U]

    codomain

    codomain

    Definition Classes
    AdditiveMorphismFunc
  15. def compose[A](g: (A) => LocalTerm): (A) => LocalTerm
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  16. val depcodom: (LocalTerm) => Typ[LocalTerm]
    Definition Classes
    FuncFuncLike
  17. def dependsOn(that: Term): Boolean

    returns whether this depends on that

    returns whether this depends on that

    Definition Classes
    Term
  18. val dom: LocalTyp.type

    domain

    domain

    Definition Classes
    AdditiveMorphismFuncFuncLike
  19. def ensuring(cond: (AdditiveMorphism[U]) => Boolean, msg: => Any): AdditiveMorphism[U]
    Implicit
    This member is added by an implicit conversion from AdditiveMorphism[U] toEnsuring[AdditiveMorphism[U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  20. def ensuring(cond: (AdditiveMorphism[U]) => Boolean): AdditiveMorphism[U]
    Implicit
    This member is added by an implicit conversion from AdditiveMorphism[U] toEnsuring[AdditiveMorphism[U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  21. def ensuring(cond: Boolean, msg: => Any): AdditiveMorphism[U]
    Implicit
    This member is added by an implicit conversion from AdditiveMorphism[U] toEnsuring[AdditiveMorphism[U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  22. def ensuring(cond: Boolean): AdditiveMorphism[U]
    Implicit
    This member is added by an implicit conversion from AdditiveMorphism[U] toEnsuring[AdditiveMorphism[U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  23. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  24. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from AdditiveMorphism[U] toStringFormat[AdditiveMorphism[U]] 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 indepOf(that: Term): Boolean

    returns whether this is independent of that.

    returns whether this is independent of that.

    Definition Classes
    Term
  27. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  28. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  29. def newobj: AdditiveMorphism[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
    AdditiveMorphismSubs
  30. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  31. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  32. val op: (U, U) => U
  33. def productElementNames: Iterator[String]
    Definition Classes
    Product
  34. def replace(x: Term, y: Term): Func[LocalTerm, LocalTerm] with Subs[Func[LocalTerm, LocalTerm]]

    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
  35. def subs(x: Term, y: Term): AdditiveMorphism[U]

    substitute x by y recursively in this.

    substitute x by y recursively in this.

    Definition Classes
    AdditiveMorphismFuncFuncLikeSubs
  36. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  37. def toString(): String
    Definition Classes
    Function1 → AnyRef → Any
  38. val typ: FuncTyp[LocalTerm, U]

    the HoTT-type of the term

    the HoTT-type of the term

    Definition Classes
    AdditiveMorphismFuncFuncLikeTerm
  39. 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
  40. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  41. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  42. 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): (AdditiveMorphism[U], B)
    Implicit
    This member is added by an implicit conversion from AdditiveMorphism[U] toArrowAssoc[AdditiveMorphism[U]] 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 Serializable

Inherited from Product

Inherited from Equals

Inherited from Func[LocalTerm, LocalTerm]

Inherited from FuncLike[LocalTerm, LocalTerm]

Inherited from (LocalTerm) => LocalTerm

Inherited from Term

Inherited from Subs[Func[LocalTerm, LocalTerm]]

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd fromAdditiveMorphism[U] to any2stringadd[AdditiveMorphism[U]]

Inherited by implicit conversion StringFormat fromAdditiveMorphism[U] to StringFormat[AdditiveMorphism[U]]

Inherited by implicit conversion Ensuring fromAdditiveMorphism[U] to Ensuring[AdditiveMorphism[U]]

Inherited by implicit conversion ArrowAssoc fromAdditiveMorphism[U] to ArrowAssoc[AdditiveMorphism[U]]

Ungrouped