Packages

o

info.kwarc.mmt.lf

PiIntroduction

object PiIntroduction extends BackwardInvertible

the proof step ?:Pi x:A.B ----> lambda x:A.(?:B)

This rule works for any universe U

Source
Proving.scala
Ordering
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Inherited
  1. PiIntroduction
  2. BackwardInvertible
  3. InvertibleTactic
  4. Tactic
  5. SyntaxDrivenRule
  6. Rule
  7. SemanticObject
  8. AnyRef
  9. Any
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Visibility
  1. Public
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Value Members

  1. final def !=(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  2. final def ##(): Int
    Definition Classes
    AnyRef → Any
  3. final def ==(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  4. def apply(prover: Searcher, goal: Goal): Option[ApplicableTactic]

    applies the tactic to a goal

    applies the tactic to a goal

    prover

    the calling prover, used for callbacks

    returns

    a continuation that returns the new goal(s)

    Definition Classes
    PiIntroductionBackwardInvertibleInvertibleTactic
  5. final def asInstanceOf[T0]: T0
    Definition Classes
    Any
  6. def clone(): AnyRef
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( ... ) @native()
  7. final def eq(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  8. def equals(arg0: Any): Boolean
    Definition Classes
    AnyRef → Any
  9. def finalize(): Unit
    Attributes
    protected[lang]
    Definition Classes
    AnyRef
    Annotations
    @throws( classOf[java.lang.Throwable] )
  10. final def getClass(): Class[_]
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  11. def hashCode(): Int
    Definition Classes
    AnyRef → Any
    Annotations
    @native()
  12. val head: GlobalName

    an MMT URI that is used to indicate when the Rule is applicable

    an MMT URI that is used to indicate when the Rule is applicable

    Definition Classes
    PiIntroductionSyntaxDrivenRule
  13. def init: Unit

    errors in Java initializers are hard to debug; therefore, objects should put initialization code here, which will be called by MMT empty by default, may throw errors

    errors in Java initializers are hard to debug; therefore, objects should put initialization code here, which will be called by MMT empty by default, may throw errors

    Definition Classes
    SemanticObject
  14. final def isInstanceOf[T0]: Boolean
    Definition Classes
    Any
  15. lazy val mpath: MPath

    the MMT URI of this object, derived from its Scala name: scala://package?name

    the MMT URI of this object, derived from its Scala name: scala://package?name

    Definition Classes
    SemanticObject
  16. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  17. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  18. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  19. def onApply(l: ⇒ String)(cont: ⇒ Alternative): Some[ApplicableTactic { def apply(): Some[info.kwarc.mmt.api.proving.Alternative] }]

    convenience function to create an ApplicableTactic

    convenience function to create an ApplicableTactic

    to be used as in

    def apply(...) = {
       // code for checking applicability
       onApply {
          // code to run when applying the rule
       }
    }
    Attributes
    protected
    Definition Classes
    Tactic
  20. def priority: Int

    when multiple rules are applicable, rules with higher priorities are preferred

    when multiple rules are applicable, rules with higher priorities are preferred

    creating a new rule with higher priority can be used to effectively drop imported rules

    Definition Classes
    Rule
  21. def providedRules: List[Rule]

    normally the singleton list of this rule; but rules may bundle additional rules as well

    normally the singleton list of this rule; but rules may bundle additional rules as well

    Definition Classes
    Rule
  22. def shadowedRules: List[Rule]

    normally the empty list; but rules may list rules here that should be removed from the context this can be used to override imported rules

    normally the empty list; but rules may list rules here that should be removed from the context this can be used to override imported rules

    Definition Classes
    Rule
  23. final def synchronized[T0](arg0: ⇒ T0): T0
    Definition Classes
    AnyRef
  24. def toString(): String
    Definition Classes
    SyntaxDrivenRuleRule → AnyRef → Any
  25. final def wait(): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  26. final def wait(arg0: Long, arg1: Int): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... )
  27. final def wait(arg0: Long): Unit
    Definition Classes
    AnyRef
    Annotations
    @throws( ... ) @native()

Inherited from BackwardInvertible

Inherited from InvertibleTactic

Inherited from Tactic

Inherited from SyntaxDrivenRule

Inherited from Rule

Inherited from SemanticObject

Inherited from AnyRef

Inherited from Any

Ungrouped