case class DepSymbolicFunc[W <: Term with Subs[W], U <: Term with Subs[U]](name: AnySym, fibers: TypFamily[W, U]) extends FuncLike[W, U] with Symbolic with Product with Serializable
Symbolic dependent function, acts formally.
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- DepSymbolicFunc
- Serializable
- Product
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- Symbolic
- FuncLike
- Function1
- Term
- Subs
- AnyRef
- Any
- by UnliftOps
- by any2stringadd
- by StringFormat
- by Ensuring
- by ArrowAssoc
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Value Members
- def act(arg: W): 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
- DepSymbolicFunc → FuncLike
- def andThen[A](g: (U) => A): (W) => A
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- def apply(arg: W): U
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: W): U
- Definition Classes
- FuncLike
- def canApply(arg: W): 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 compose[A](g: (A) => W): (A) => U
- Definition Classes
- Function1
- Annotations
- @unspecialized()
- val depcodom: (W) => Typ[U]
- Definition Classes
- DepSymbolicFunc → FuncLike
- def dependsOn(that: Term): Boolean
returns whether
thisdepends onthatreturns whether
thisdepends onthat- Definition Classes
- Term
- val dom: Typ[W]
- Definition Classes
- DepSymbolicFunc → FuncLike
- def equals(that: Any): Boolean
- Definition Classes
- Symbolic → AnyRef → Any
- val fibers: TypFamily[W, U]
- lazy val hashCode: Int
- Definition Classes
- Symbolic → AnyRef → Any
- def indepOf(that: Term): Boolean
returns whether
thisis independent ofthat.returns whether
thisis independent ofthat.- Definition Classes
- Term
- val name: AnySym
- Definition Classes
- DepSymbolicFunc → Symbolic
- def newobj: DepSymbolicFunc[W, 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
- DepSymbolicFunc → Subs
- def productElementNames: Iterator[String]
- Definition Classes
- Product
- def replace(x: Term, y: Term): FuncLike[W, U] with Subs[FuncLike[W, U]]
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[W, U]
substitute x by y recursively in
this.substitute x by y recursively in
this.- Definition Classes
- DepSymbolicFunc → FuncLike → Subs
- def toString(): String
- Definition Classes
- Symbolic → AnyRef → Any
- lazy val typ: PiDefn[W, U]
the HoTT-type of the term
the HoTT-type of the term
- Definition Classes
- DepSymbolicFunc → FuncLike → Term
- def unlift: PartialFunction[W, B]
- Implicit
- This member is added by an implicit conversion from DepSymbolicFunc[W, U] toUnliftOps[W, B] performed by method UnliftOps in scala.Function1.This conversion will take place only if U is a subclass of Option[B] (U <: Option[B]).
- Definition Classes
- UnliftOps
- 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