Packages

c

provingground.HoTT

PiSymbolicFunc

case class PiSymbolicFunc[W <: Term with Subs[W], U <: Term with Subs[U]](name: AnySym, variable: W, value: Typ[U]) extends FuncLike[W, U] with Symbolic with Product with Serializable

slightly different DepSymbolicFunc is used instead as this causes some tests to fail

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

Instance Constructors

  1. new PiSymbolicFunc(name: AnySym, variable: W, value: Typ[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
    PiSymbolicFuncFuncLike
  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
    PiSymbolicFuncFuncLike
  6. def compose[A](g: (A) => W): (A) => U
    Definition Classes
    Function1
    Annotations
    @unspecialized()
  7. lazy val depcodom: (W) => Typ[U]
    Definition Classes
    PiSymbolicFuncFuncLike
  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
    PiSymbolicFuncFuncLike
  10. def equals(that: Any): Boolean
    Definition Classes
    Symbolic → AnyRef → Any
  11. lazy val hashCode: Int
    Definition Classes
    Symbolic → AnyRef → Any
  12. def indepOf(that: Term): Boolean

    returns whether this is independent of that.

    returns whether this is independent of that.

    Definition Classes
    Term
  13. val name: AnySym
    Definition Classes
    PiSymbolicFuncSymbolic
  14. def newobj: PiSymbolicFunc[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
    PiSymbolicFuncSubs
  15. def productElementNames: Iterator[String]
    Definition Classes
    Product
  16. 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
  17. 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
    PiSymbolicFuncFuncLikeSubs
  18. def toString(): String
    Definition Classes
    Symbolic → AnyRef → Any
  19. lazy val typ: PiDefn[W, U]

    the HoTT-type of the term

    the HoTT-type of the term

    Definition Classes
    PiSymbolicFuncFuncLikeTerm
  20. def unlift: PartialFunction[W, B]
    Implicit
    This member is added by an implicit conversion from PiSymbolicFunc[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
  21. 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
  22. val value: Typ[U]
  23. val variable: W