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info.kwarc.mmt.lf

FunType

object FunType

Helper object with apply/unapply for matching and constructing LF function types.

The methods - automaticallycurry and uncurry. - and include the case n=0, in particular, unapply always matches!

"Normal" LF function type:

// Represent a1 -> ... -> an -> b
FunType(List((None, a1),...,(None, an)), b)

Dependently typed LF function type:

// Pi x1:a1. ... Pi xn:an. b
FunType(List((Some(x1), a1),...,(Some(xn), an)), b)

You can also mix both styles.

Source
LF.scala
Examples:
  1. Say you want to check whether a given term (of a type component) is a function type to prop:

    val typeComponent: Term = ...
    val propSymbol = GlobalName(...) // Give some specific MPath and LocalName
    match typeComponent {
      case FunType(args, OMS(propSymbol)) => ...
      case _ => ...
    }
  2. ,
  3. Say you already have a type and now want to add dependent types in front of it

    // We have typeComponent and now want
    // {x: S} typeComponent
    
    val typeComponent: Term = ...
    val dependentVariableType: Term = ...
    val dependentTypes = List((Some(LocalName("x")), dependentVariableType))
    
    val newTypeComponent = FunType(dependentTypes, typeComponent)
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  1. final def !=(arg0: Any): Boolean
    Definition Classes
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  2. final def ##(): Int
    Definition Classes
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  3. final def ==(arg0: Any): Boolean
    Definition Classes
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  4. def apply(in: List[(Option[LocalName], Term)], out: Term): Term
  5. def argsAsContext(args: List[(Option[LocalName], Term)]): Context
  6. final def asInstanceOf[T0]: T0
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  7. def clone(): AnyRef
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    protected[lang]
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    @throws( ... ) @native()
  8. final def eq(arg0: AnyRef): Boolean
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  9. def equals(arg0: Any): Boolean
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  10. def finalize(): Unit
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    @throws( classOf[java.lang.Throwable] )
  11. final def getClass(): Class[_]
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    @native()
  12. def hashCode(): Int
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  13. final def isInstanceOf[T0]: Boolean
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  14. final def ne(arg0: AnyRef): Boolean
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  15. final def notify(): Unit
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    @native()
  16. final def notifyAll(): Unit
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    @native()
  17. final def synchronized[T0](arg0: ⇒ T0): T0
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  18. def toString(): String
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  19. def unapply(t: Term): Option[(List[(Option[LocalName], Term)], Term)]
  20. final def wait(): Unit
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    @throws( ... )
  21. final def wait(arg0: Long, arg1: Int): Unit
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    @throws( ... )
  22. final def wait(arg0: Long): Unit
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