c

gapt.proofs.gaptic.tactics

InductionTactic

case class InductionTactic(mode: TacticApplyMode, v: Var, eigenVariables: Map[Const, Vector[Var]] = Map())(implicit ctx: Context) extends Tactical1[Unit] with Product with Serializable

Reduces a subgoal via induction.

mode

How to apply the tactic: To a specific label, to the only fitting formula, or to any fitting formula.

ctx

A Context. Used to find the constructors of inductive types.

Source
complexTactics.scala
Linear Supertypes
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. InductionTactic
  2. Serializable
  3. Serializable
  4. Product
  5. Equals
  6. Tactical1
  7. Tactic
  8. AnyRef
  9. Any
Implicitly
  1. by any2stringadd
  2. by StringFormat
  3. by Ensuring
  4. by ArrowAssoc
  1. Hide All
  2. Show All
Visibility
  1. Public
  2. All

Instance Constructors

  1. new InductionTactic(mode: TacticApplyMode, v: Var, eigenVariables: Map[Const, Vector[Var]] = Map())(implicit ctx: Context)

    mode

    How to apply the tactic: To a specific label, to the only fitting formula, or to any fitting formula.

    ctx

    A Context. Used to find the constructors of inductive types.

Type Members

  1. class FindFormula extends AnyRef
    Attributes
    protected
    Definition Classes
    Tactical1

Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. def +(other: String): String
    Implicit
    This member is added by an implicit conversion from InductionTactic to any2stringadd[InductionTactic] performed by method any2stringadd in scala.Predef.
    Definition Classes
    any2stringadd
  4. def ->[B](y: B): (InductionTactic, B)
    Implicit
    This member is added by an implicit conversion from InductionTactic to ArrowAssoc[InductionTactic] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc
    Annotations
    @inline()
  5. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  6. def aka(newName: ⇒ String): Tactic[Unit]
    Definition Classes
    Tactic
  7. def andThen[S](t2: ⇒ Tactic[S]): Tactic[S]
    Definition Classes
    Tactic
  8. def apply(goal: OpenAssumption): Tactic[Unit]
    Definition Classes
    InductionTacticTactical1
  9. def apply(proofState: ProofState): Either[TacticFailure, (Unit, ProofState)]
    Definition Classes
    Tactical1Tactic
  10. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  11. def clone(): AnyRef
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  12. def cut(errorMessage: String): Tactic[Unit]
    Definition Classes
    Tactic
  13. val eigenVariables: Map[Const, Vector[Var]]
  14. def ensuring(cond: (InductionTactic) ⇒ Boolean, msg: ⇒ Any): InductionTactic
    Implicit
    This member is added by an implicit conversion from InductionTactic to Ensuring[InductionTactic] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  15. def ensuring(cond: (InductionTactic) ⇒ Boolean): InductionTactic
    Implicit
    This member is added by an implicit conversion from InductionTactic to Ensuring[InductionTactic] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  16. def ensuring(cond: Boolean, msg: ⇒ Any): InductionTactic
    Implicit
    This member is added by an implicit conversion from InductionTactic to Ensuring[InductionTactic] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  17. def ensuring(cond: Boolean): InductionTactic
    Implicit
    This member is added by an implicit conversion from InductionTactic to Ensuring[InductionTactic] performed by method Ensuring in scala.Predef.
    Definition Classes
    Ensuring
  18. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  19. def finalize(): Unit
    Attributes
    protected[java.lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  20. def findFormula(goal: OpenAssumption, mode: TacticApplyMode): FindFormula
    Attributes
    protected
    Definition Classes
    Tactical1
  21. def flatMap[S](f: (Unit) ⇒ Tactic[S])(implicit file: File, line: Line): Tactic[S]
    Definition Classes
    Tactic
  22. def focused: Tactic[Unit]
    Definition Classes
    Tactic
  23. def formatted(fmtstr: String): String
    Implicit
    This member is added by an implicit conversion from InductionTactic to StringFormat[InductionTactic] performed by method StringFormat in scala.Predef.
    Definition Classes
    StringFormat
    Annotations
    @inline()
  24. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  25. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  26. def map[S](f: (Unit) ⇒ S)(implicit file: File, line: Line): Tactic[S]
    Definition Classes
    Tactic
  27. val mode: TacticApplyMode
  28. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  29. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  30. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  31. def onAll[S](t2: ⇒ Tactic[S]): Tactic[Unit]
    Definition Classes
    Tactic
  32. def onAllSubGoals: Tactic[Unit]
    Definition Classes
    Tactic
  33. def onCurrentSubGoal: Tactic[Unit]
    Definition Classes
    Tactic
  34. def orElse[S >: Unit](t2: ⇒ Tactic[S]): Tactic[S]

    Returns result of first tactical, if there is any, else it returns the result of the second tactical, with the possibility of no result from either.

    Returns result of first tactical, if there is any, else it returns the result of the second tactical, with the possibility of no result from either.

    Definition Classes
    Tactic
  35. def quiet: Tactic[Unit]
    Definition Classes
    Tactic
  36. def quietOnly(loggers: Logger*): Tactic[Unit]
    Definition Classes
    Tactic
  37. def replace(proof: LKProof): Tactic[Unit]
    Attributes
    protected
    Definition Classes
    Tactical1
  38. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  39. val v: Var
  40. def verbose: Tactic[Unit]
    Definition Classes
    Tactic
  41. def verboseOnly(loggers: Logger*): Tactic[Unit]
    Definition Classes
    Tactic
  42. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  43. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  44. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @native() @throws( ... )
  45. def withEigenVariables(evs: Map[Const, Vector[Var]]): InductionTactic
  46. def [B](y: B): (InductionTactic, B)
    Implicit
    This member is added by an implicit conversion from InductionTactic to ArrowAssoc[InductionTactic] performed by method ArrowAssoc in scala.Predef.
    Definition Classes
    ArrowAssoc

Inherited from Serializable

Inherited from Serializable

Inherited from Product

Inherited from Equals

Inherited from Tactical1[Unit]

Inherited from Tactic[Unit]

Inherited from AnyRef

Inherited from Any

Inherited by implicit conversion any2stringadd from InductionTactic to any2stringadd[InductionTactic]

Inherited by implicit conversion StringFormat from InductionTactic to StringFormat[InductionTactic]

Inherited by implicit conversion Ensuring from InductionTactic to Ensuring[InductionTactic]

Inherited by implicit conversion ArrowAssoc from InductionTactic to ArrowAssoc[InductionTactic]

Ungrouped