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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- AdditiveMorphism
- Serializable
- Product
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- Func
- FuncLike
- Function1
- Term
- Subs
- AnyRef
- Any
- by any2stringadd
- by StringFormat
- by Ensuring
- by ArrowAssoc
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Value Members
- final def !=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def ##: Int
- Definition Classes
- AnyRef → Any
- 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
- 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()
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- 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
- AdditiveMorphism → Func → FuncLike
- def andThen[A](g: (LocalTerm) => A): (LocalTerm) => A
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- 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.
- def applyUnchecked(arg: LocalTerm): LocalTerm
- Definition Classes
- FuncLike
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- val base: Func[LocalTerm, U]
- 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
- def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
- val codom: Typ[U]
codomain
codomain
- Definition Classes
- AdditiveMorphism → Func
- def compose[A](g: (A) => LocalTerm): (A) => LocalTerm
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- val depcodom: (LocalTerm) => Typ[LocalTerm]
- def dependsOn(that: Term): Boolean
returns whether
this
depends onthat
returns whether
this
depends onthat
- Definition Classes
- Term
- val dom: LocalTyp.type
domain
domain
- Definition Classes
- AdditiveMorphism → Func → FuncLike
- 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
- 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
- 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
- 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
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- 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()
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- def indepOf(that: Term): Boolean
returns whether
this
is independent ofthat
.returns whether
this
is independent ofthat
.- Definition Classes
- Term
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- final def ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- 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
- AdditiveMorphism → Subs
- final def notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- final def notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- val op: (U, U) => U
- def productElementNames: Iterator[String]
- Definition Classes
- Product
- 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
- def subs(x: Term, y: Term): AdditiveMorphism[U]
substitute x by y recursively in
this
.substitute x by y recursively in
this
.- Definition Classes
- AdditiveMorphism → Func → FuncLike → Subs
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- def toString(): String
- Definition Classes
- Function1 → AnyRef → Any
- val typ: FuncTyp[LocalTerm, U]
the HoTT-type of the term
the HoTT-type of the term
- Definition Classes
- AdditiveMorphism → Func → FuncLike → Term
- 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
- final def wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException]) @native()
- final def wait(): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
Deprecated Value Members
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable]) @Deprecated
- Deprecated
- 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.