Packages

c

provingground.HoTT

NamedDepFunc

case class NamedDepFunc[W <: Term with Subs[W], +U <: Term with Subs[U]](name: AnySym, func: FuncLike[W, U]) extends FuncLike[W, U] with Product with Serializable

wrapped dependent function adding name

Linear Supertypes
Serializable, Product, Equals, FuncLike[W, U], (W) => U, Term, Subs[FuncLike[W, U]], AnyRef, Any
Type Hierarchy
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Inherited
  1. NamedDepFunc
  2. Serializable
  3. Product
  4. Equals
  5. FuncLike
  6. Function1
  7. Term
  8. Subs
  9. AnyRef
  10. Any
Implicitly
  1. by UnliftOps
  2. by any2stringadd
  3. by StringFormat
  4. by Ensuring
  5. by ArrowAssoc
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Visibility
  1. Public
  2. Protected

Instance Constructors

  1. new NamedDepFunc(name: AnySym, func: FuncLike[W, U])

Type Members

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

Value Members

  1. 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
    NamedDepFuncFuncLike
  2. def andThen[A](g: (U) => A): (W) => A
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  3. 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.

    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
  4. def applyUnchecked(arg: W): U
    Definition Classes
    FuncLike
  5. 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
  6. def compose[A](g: (A) => W): (A) => U
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  7. lazy val depcodom: (W) => Typ[U]
    Definition Classes
    NamedDepFuncFuncLike
  8. def dependsOn(that: Term): Boolean

    returns whether this depends on that

    returns whether this depends on that

    Definition Classes
    Term
  9. lazy val dom: Typ[W]
    Definition Classes
    NamedDepFuncFuncLike
  10. val func: FuncLike[W, U]
  11. def indepOf(that: Term): Boolean

    returns whether this is independent of that.

    returns whether this is independent of that.

    Definition Classes
    Term
  12. val name: AnySym
  13. def newobj: NamedDepFunc[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
    NamedDepFuncSubs
  14. def productElementNames: Iterator[String]
    Definition Classes
    Product
  15. 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
  16. def subs(x: Term, y: Term): NamedDepFunc[W, U]

    substitute x by y recursively in this.

    substitute x by y recursively in this.

    Definition Classes
    NamedDepFuncFuncLikeSubs
  17. def toString(): String
    Definition Classes
    Function1 → AnyRef → Any
  18. lazy val typ: Typ[FuncLike[W, U]]

    the HoTT-type of the term

    the HoTT-type of the term

    Definition Classes
    NamedDepFuncFuncLikeTerm
  19. def unlift: PartialFunction[W, B]
    Implicit
    This member is added by an implicit conversion from NamedDepFunc[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
  20. 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