case class furstenberg(k: Int) extends TacticsProof with PrimeDefinitions with Product with Serializable
Furstenberg's topological proof of the infinitude of primes.
furstenberg(k) proves that there are more than k primes.
- Source
- furstenberg.scala
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final
def
!=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
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final
def
##(): Int
- Definition Classes
- AnyRef → Any
-
def
+(other: String): String
- Implicit
- This member is added by an implicit conversion from furstenberg to any2stringadd[furstenberg] performed by method any2stringadd in scala.Predef.
- Definition Classes
- any2stringadd
-
def
->[B](y: B): (furstenberg, B)
- Implicit
- This member is added by an implicit conversion from furstenberg to ArrowAssoc[furstenberg] performed by method ArrowAssoc in scala.Predef.
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- ArrowAssoc
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- @inline()
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final
def
==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- val FQ: LKProof
- val FR: LKProof
- val Pi_1: LKProof
- def RQ(n: Int): LKProof
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final
def
asInstanceOf[T0]: T0
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def
clone(): AnyRef
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- protected[java.lang]
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- @native() @throws( ... )
- val compCompProof: LKProof
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implicit
def
ctx: ImmutableContext
- Definition Classes
- TacticsProof0
-
def
ctx_=(newContext: ImmutableContext): Unit
- Attributes
- protected
- Definition Classes
- TacticsProof0
- val deMorgan1: LKProof
-
def
ensuring(cond: (furstenberg) ⇒ Boolean, msg: ⇒ Any): furstenberg
- Implicit
- This member is added by an implicit conversion from furstenberg to Ensuring[furstenberg] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
-
def
ensuring(cond: (furstenberg) ⇒ Boolean): furstenberg
- Implicit
- This member is added by an implicit conversion from furstenberg to Ensuring[furstenberg] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
-
def
ensuring(cond: Boolean, msg: ⇒ Any): furstenberg
- Implicit
- This member is added by an implicit conversion from furstenberg to Ensuring[furstenberg] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
-
def
ensuring(cond: Boolean): furstenberg
- Implicit
- This member is added by an implicit conversion from furstenberg to Ensuring[furstenberg] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
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final
def
eq(arg0: AnyRef): Boolean
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def
finalize(): Unit
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def
formatted(fmtstr: String): String
- Implicit
- This member is added by an implicit conversion from furstenberg to StringFormat[furstenberg] performed by method StringFormat in scala.Predef.
- Definition Classes
- StringFormat
- Annotations
- @inline()
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final
def
getClass(): Class[_]
- Definition Classes
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- @native()
- val infiniteSubset: LKProof
- val intersectionOpen: LKProof
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final
def
isInstanceOf[T0]: Boolean
- Definition Classes
- Any
-
val
k: Int
- Definition Classes
- furstenberg → PrimeDefinitions
- def lambda(n: Int): LKProof
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def
main(args: Array[String]): Unit
- Definition Classes
- TacticsProof
-
val
mutableContext: MutableContext
- Attributes
- protected
- Definition Classes
- TacticsProof0
-
implicit
def
mutableCtxImplicit: MutableContext
- Attributes
- protected
- Definition Classes
- TacticsProof
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final
def
ne(arg0: AnyRef): Boolean
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final
def
notify(): Unit
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final
def
notifyAll(): Unit
- Definition Classes
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- @native()
- val openClosedProof: LKProof
- val pgt0: LKProof
- val phi2: LKProof
- val progClosed: LKProof
- val proof: LKProof
- val psi1: LKProof
- val psi1Left: LKProof
- val psi1Right: LKProof
- val psi2: LKProof
- def psi2Right(n: Int): LKProof
- val singletonFinite: LKProof
- val singletonNonempty: LKProof
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implicit
def
spliceNum(i: Int): Splice[Expr]
- Definition Classes
- PrimeDefinitions
-
final
def
synchronized[T0](arg0: ⇒ T0): T0
- Definition Classes
- AnyRef
- val unionClosed: LKProof
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def
varrho2(n: Int): LKProof
Proof of x ∈ S[n] :- ∃y ( y ∈ P[n] ∧ x ∈ ν(0,y) )
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final
def
wait(): Unit
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- @throws( ... )
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final
def
wait(arg0: Long, arg1: Int): Unit
- Definition Classes
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- @throws( ... )
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final
def
wait(arg0: Long): Unit
- Definition Classes
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- @native() @throws( ... )
-
def
→[B](y: B): (furstenberg, B)
- Implicit
- This member is added by an implicit conversion from furstenberg to ArrowAssoc[furstenberg] performed by method ArrowAssoc in scala.Predef.
- Definition Classes
- ArrowAssoc
This is the API documentation for GAPT.
The main package is at.logic.gapt.