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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- Function1
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- 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
- 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
- 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
thisdepends onthatreturns whether
thisdepends onthat- Definition Classes
- Term
- val dom: LocalTyp.type
domain
domain
- Definition Classes
- AdditiveMorphism → Func → FuncLike
- def indepOf(that: Term): Boolean
returns whether
thisis independent ofthat.returns whether
thisis independent ofthat.- Definition Classes
- Term
- 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
- 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
- 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
tis used as a variable in a lambda definition.returns whether the variable
tis used as a variable in a lambda definition.- Definition Classes
- Term