Packages

c

provingground.HoTT

SymbEquality

case class SymbEquality[U <: Term with Subs[U]](name: AnySym, typ: IdentityTyp[U]) extends Equality[U] with Symbolic with Product with Serializable

Linear Supertypes
Serializable, Product, Equals, Symbolic, Equality[U], Term, Subs[Equality[U]], AnyRef, Any
Type Hierarchy
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. SymbEquality
  2. Serializable
  3. Product
  4. Equals
  5. Symbolic
  6. Equality
  7. Term
  8. Subs
  9. AnyRef
  10. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
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Visibility
  1. Public
  2. Protected

Instance Constructors

  1. new SymbEquality(name: AnySym, typ: IdentityTyp[U])

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##: Int
    Definition Classes
    AnyRef → Any
  3. def &&(that: Equality[U]): Equality[U]
    Definition Classes
    Equality
  4. def &&&(that: Equality[U]): Equality[U]
    Definition Classes
    Equality
  5. def **:[V <: Term with Subs[V]](f: Func[U, V]): Equality[V]
    Definition Classes
    Equality
  6. def *:[V <: Term with Subs[V]](f: Func[U, V]): Equality[V]
    Definition Classes
    Equality
  7. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from SymbEquality[U] toany2stringadd[SymbEquality[U]] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  8. def ->[B](y: B): (SymbEquality[U], B)
    Implicit
    This member is added by an implicit conversion from SymbEquality[U] toArrowAssoc[SymbEquality[U]] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  9. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  10. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  11. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.CloneNotSupportedException]) @native() @HotSpotIntrinsicCandidate()
  12. def dependsOn(that: Term): Boolean

    returns whether this depends on that

    returns whether this depends on that

    Definition Classes
    Term
  13. def ensuring(cond: (SymbEquality[U]) => Boolean, msg: => Any): SymbEquality[U]
    Implicit
    This member is added by an implicit conversion from SymbEquality[U] toEnsuring[SymbEquality[U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  14. def ensuring(cond: (SymbEquality[U]) => Boolean): SymbEquality[U]
    Implicit
    This member is added by an implicit conversion from SymbEquality[U] toEnsuring[SymbEquality[U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. def ensuring(cond: Boolean, msg: => Any): SymbEquality[U]
    Implicit
    This member is added by an implicit conversion from SymbEquality[U] toEnsuring[SymbEquality[U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  16. def ensuring(cond: Boolean): SymbEquality[U]
    Implicit
    This member is added by an implicit conversion from SymbEquality[U] toEnsuring[SymbEquality[U]] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  17. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  18. def equals(that: Any): Boolean
    Definition Classes
    Symbolic → AnyRef → Any
  19. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from SymbEquality[U] toStringFormat[SymbEquality[U]] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  20. final def getClass(): Class[_ <: AnyRef]
    Definition Classes
    AnyRef → Any
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  21. lazy val hashCode: Int
    Definition Classes
    Symbolic → AnyRef → Any
  22. def indepOf(that: Term): Boolean

    returns whether this is independent of that.

    returns whether this is independent of that.

    Definition Classes
    Term
  23. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  24. val lhs: U
    Definition Classes
    Equality
  25. def lift[V <: Term with Subs[V]](f: Func[U, Typ[V]]): Func[V, V]
    Definition Classes
    Equality
  26. def liftWit[V <: Term with Subs[V]](f: Func[U, Typ[V]]): Func[V, V]
    Definition Classes
    Equality
  27. val name: AnySym
    Definition Classes
    SymbEqualitySymbolic
  28. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  29. def newobj: SymbEquality[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
    SymbEqualitySubs
  30. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  31. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @HotSpotIntrinsicCandidate()
  32. def productElementNames: Iterator[String]
    Definition Classes
    Product
  33. def replace(x: Term, y: Term): Equality[U] with Subs[Equality[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
  34. val rhs: U
    Definition Classes
    Equality
  35. def subs(x: Term, y: Term): Equality[U]

    substitute x by y recursively in this.

    substitute x by y recursively in this.

    Definition Classes
    SymbEqualitySubs
  36. lazy val sym: Equality[U]
    Definition Classes
    Equality
  37. lazy val symWit: Equality[U]
    Definition Classes
    Equality
  38. final def synchronized[T0](arg0: => T0): T0
    Definition Classes
    AnyRef
  39. def toString(): String
    Definition Classes
    SymbEqualitySymbolic → AnyRef → Any
  40. val typ: IdentityTyp[U]

    the HoTT-type of the term

    the HoTT-type of the term

    Definition Classes
    SymbEqualityEqualityTerm
  41. 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
  42. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])
  43. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException]) @native()
  44. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.InterruptedException])

Deprecated Value Members

  1. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws(classOf[java.lang.Throwable]) @Deprecated
    Deprecated
  2. def [B](y: B): (SymbEquality[U], B)
    Implicit
    This member is added by an implicit conversion from SymbEquality[U] toArrowAssoc[SymbEquality[U]] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @deprecated
    Deprecated

    (Since version 2.13.0) Use -> instead. If you still wish to display it as one character, consider using a font with programming ligatures such as Fira Code.

Inherited from Serializable

Inherited from Product

Inherited from Equals

Inherited from Symbolic

Inherited from Equality[U]

Inherited from Term

Inherited from Subs[Equality[U]]

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd fromSymbEquality[U] to any2stringadd[SymbEquality[U]]

Inherited by implicit conversion StringFormat fromSymbEquality[U] to StringFormat[SymbEquality[U]]

Inherited by implicit conversion Ensuring fromSymbEquality[U] to Ensuring[SymbEquality[U]]

Inherited by implicit conversion ArrowAssoc fromSymbEquality[U] to ArrowAssoc[SymbEquality[U]]

Ungrouped