Packages

o

org.omdoc.latin.foundations.mizar

IntroduceEquivalence

object IntroduceEquivalence extends RewriteRule with ComplificationRule

(X implies Y) and (Y implies X) ---> X equiv Y

Source
Rules.scala
Ordering
  1. Alphabetic
  2. By Inheritance
Inherited
  1. IntroduceEquivalence
  2. ComplificationRule
  3. RewriteRule
  4. TermTransformationRule
  5. SimplifierRule
  6. SyntaxDrivenRule
  7. Rule
  8. SemanticObject
  9. AnyRef
  10. Any
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Visibility
  1. Public
  2. All

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(matcher: Matcher, goalContext: Context, goal: Term): Option[Term]

    try to apply this, return result if applicable

    try to apply this, return result if applicable

    Definition Classes
    RewriteRuleTermTransformationRule
  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
    RewriteRuleSyntaxDrivenRule
  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. def makeRule(matcher: Matcher): SimplificationRule

    matcher

    the matcher to use

    returns

    the simplification rule

    Definition Classes
    RewriteRule
  16. 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
  17. final def ne(arg0: AnyRef): Boolean
    Definition Classes
    AnyRef
  18. final def notify(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  19. final def notifyAll(): Unit
    Definition Classes
    AnyRef
    Annotations
    @native()
  20. def priority: Int

    lower than IntroduceImplication because it can only fire afterwards anyway

    lower than IntroduceImplication because it can only fire afterwards anyway

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

Inherited from ComplificationRule

Inherited from RewriteRule

Inherited from TermTransformationRule

Inherited from SimplifierRule

Inherited from SyntaxDrivenRule

Inherited from Rule

Inherited from SemanticObject

Inherited from AnyRef

Inherited from Any

Ungrouped