Packages

class DepFuncDefn[W <: Term with Subs[W], U <: Term with Subs[U]] extends DepFunc[W, U]

A dependent function defined by a scala funcion

Linear Supertypes
DepFunc[W, U], FuncLike[W, U], (W) => U, Term, Subs[FuncLike[W, U]], AnyRef, Any
Type Hierarchy
Ordering
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  2. By Inheritance
Inherited
  1. DepFuncDefn
  2. DepFunc
  3. FuncLike
  4. Function1
  5. Term
  6. Subs
  7. AnyRef
  8. 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 DepFuncDefn(func: (W) => U, dom: Typ[W], fibers: TypFamily[W, U])

Type Members

  1. type Cod = U
    Definition Classes
    DepFunc
  2. type D = W
    Definition Classes
    DepFunc
  3. 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
    DepFuncDefnDepFuncFuncLike
  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. val depcodom: (W) => Typ[U]
    Definition Classes
    DepFuncDefnFuncLike
  8. def dependsOn(that: Term): Boolean

    returns whether this depends on that

    returns whether this depends on that

    Definition Classes
    Term
  9. val dom: Typ[W]
    Definition Classes
    DepFuncDefnFuncLike
  10. val fibers: TypFamily[W, U]
    Definition Classes
    DepFuncDefnDepFunc
  11. def indepOf(that: Term): Boolean

    returns whether this is independent of that.

    returns whether this is independent of that.

    Definition Classes
    Term
  12. def newobj: FuncLike[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
    DepFuncDefnSubs
  13. 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
  14. def subs(x: Term, y: Term): DepFuncDefn[W, U]

    substitute x by y recursively in this.

    substitute x by y recursively in this.

    Definition Classes
    DepFuncDefnFuncLikeSubs
  15. def toString(): String
    Definition Classes
    Function1 → AnyRef → Any
  16. lazy val typ: PiDefn[W, U]

    the HoTT-type of the term

    the HoTT-type of the term

    Definition Classes
    DepFuncDefnFuncLikeTerm
  17. def unlift: PartialFunction[W, B]
    Implicit
    This member is added by an implicit conversion from DepFuncDefn[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
  18. 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