case class ExtendedDepFunction[U <: Term with Subs[U], V, X <: Term with Subs[X], Y](dfn: (V) => Y, domrep: ScalaPolyRep[U, V], codomrep: ScalaPolyRep[X, Y], fibers: Func[U, Typ[X]]) extends FuncLike[U, X] with Product with Serializable
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- ExtendedDepFunction
- Serializable
- Product
- Equals
- FuncLike
- Function1
- Term
- Subs
- AnyRef
- Any
- by UnliftOps
- by ScalaPolyTerm
- by any2stringadd
- by StringFormat
- by Ensuring
- by ArrowAssoc
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Instance Constructors
- new ExtendedDepFunction(dfn: (V) => Y, domrep: ScalaPolyRep[U, V], codomrep: ScalaPolyRep[X, Y], fibers: Func[U, Typ[X]])
Value Members
- def act(u: U): X
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
- ExtendedDepFunction → FuncLike
- def andThen[A](g: (X) => A): (U) => A
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- def apply(arg: U): X
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: U): X
- Definition Classes
- FuncLike
- def canApply(arg: U): 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 codomrep: ScalaPolyRep[X, Y]
- def compose[A](g: (A) => U): (A) => X
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- lazy val depcodom: (U) => Typ[X]
- Definition Classes
- ExtendedDepFunction → FuncLike
- def dependsOn(that: Term): Boolean
returns whether
this
depends onthat
returns whether
this
depends onthat
- Definition Classes
- Term
- val dfn: (V) => Y
- lazy val dom: Typ[U]
- Definition Classes
- ExtendedDepFunction → FuncLike
- val domrep: ScalaPolyRep[U, V]
- val fibers: Func[U, Typ[X]]
- def getTerm(typ: Typ[Term]): U
- Implicit
- This member is added by an implicit conversion from ExtendedDepFunction[U, V, X, Y] toScalaPolyTerm[U, ExtendedDepFunction[U, V, X, Y]] performed by method ScalaPolyTerm in provingground.scalahott.ScalaPolyRep.This conversion will take place only if an implicit value of type ScalaPolyRep[U, ExtendedDepFunction[U, V, X, Y]] is in scope.
- Definition Classes
- ScalaPolyTerm
- def hott(typ: Typ[Term]): Option[U]
- Implicit
- This member is added by an implicit conversion from ExtendedDepFunction[U, V, X, Y] toScalaPolyTerm[U, ExtendedDepFunction[U, V, X, Y]] performed by method ScalaPolyTerm in provingground.scalahott.ScalaPolyRep.This conversion will take place only if an implicit value of type ScalaPolyRep[U, ExtendedDepFunction[U, V, X, Y]] is in scope.
- Definition Classes
- ScalaPolyTerm
- def indepOf(that: Term): Boolean
returns whether
this
is independent ofthat
.returns whether
this
is independent ofthat
.- Definition Classes
- Term
- def newobj: FuncLike[U, X]
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
- ExtendedDepFunction → Subs
- def productElementNames: Iterator[String]
- Definition Classes
- Product
- def replace(x: Term, y: Term): FuncLike[U, X] with Subs[FuncLike[U, X]]
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): FuncLike[U, X]
substitute x by y recursively in
this
.substitute x by y recursively in
this
.- Definition Classes
- ExtendedDepFunction → FuncLike → Subs
- def toString(): String
- Definition Classes
- Function1 → AnyRef → Any
- lazy val typ: PiDefn[U, X]
the HoTT-type of the term
the HoTT-type of the term
- Definition Classes
- ExtendedDepFunction → FuncLike → Term
- def unlift: PartialFunction[U, B]
- Implicit
- This member is added by an implicit conversion from ExtendedDepFunction[U, V, X, Y] toUnliftOps[U, B] performed by method UnliftOps in scala.Function1.This conversion will take place only if X is a subclass of Option[B] (X <: Option[B]).
- Definition Classes
- UnliftOps
- 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