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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- furstenberg
- Serializable
- Product
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- PrimeDefinitions
- TacticsProof
- TacticsProof0
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- by any2stringadd
- by StringFormat
- by Ensuring
- by ArrowAssoc
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Value Members
- final def !=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- final def ##(): Int
- Definition Classes
- AnyRef → Any
- def +(other: String): String
- Implicit
- This member is added by an implicit conversion from furstenberg toany2stringadd[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 toArrowAssoc[furstenberg] performed by method ArrowAssoc in scala.Predef.
- Definition Classes
- ArrowAssoc
- Annotations
- @inline()
- final def ==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- val FQ: LKProof
- val FR: LKProof
- val Pi_1: LKProof
- def RQ(n: Int): LKProof
- final def asInstanceOf[T0]: T0
- Definition Classes
- Any
- def clone(): AnyRef
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.CloneNotSupportedException]) @native() @IntrinsicCandidate()
- val compCompProof: LKProof
- 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 toEnsuring[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 toEnsuring[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 toEnsuring[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 toEnsuring[furstenberg] performed by method Ensuring in scala.Predef.
- Definition Classes
- Ensuring
- final def eq(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- def formatted(fmtstr: String): String
- Implicit
- This member is added by an implicit conversion from furstenberg toStringFormat[furstenberg] performed by method StringFormat in scala.Predef.
- Definition Classes
- StringFormat
- Annotations
- @inline()
- final def getClass(): Class[_ <: AnyRef]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @IntrinsicCandidate()
- val infiniteSubset: LKProof
- val intersectionOpen: LKProof
- final def isInstanceOf[T0]: Boolean
- Definition Classes
- Any
- val k: Int
- Definition Classes
- furstenberg → PrimeDefinitions
- def lambda(n: Int): LKProof
- 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
- final def ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
- final def notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @IntrinsicCandidate()
- final def notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @IntrinsicCandidate()
- val openClosedProof: LKProof
- val pgt0: LKProof
- val phi2: LKProof
- def productElementNames: Iterator[String]
- Definition Classes
- Product
- 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
- implicit def spliceNum(i: Int): Splice[Expr]
- Definition Classes
- PrimeDefinitions
- final def synchronized[T0](arg0: => T0): T0
- Definition Classes
- AnyRef
- val unionClosed: LKProof
- def varrho2(n: Int): LKProof
Proof of x ∈ S[n] :- ∃y ( y ∈ P[n] ∧ x ∈ ν(0,y) )
- final def wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
- final def wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException]) @native()
- final def wait(): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.InterruptedException])
Deprecated Value Members
- def finalize(): Unit
- Attributes
- protected[lang]
- Definition Classes
- AnyRef
- Annotations
- @throws(classOf[java.lang.Throwable]) @Deprecated @deprecated
- Deprecated
(Since version ) see corresponding Javadoc for more information.
- def →[B](y: B): (furstenberg, B)
- Implicit
- This member is added by an implicit conversion from furstenberg toArrowAssoc[furstenberg] performed by method ArrowAssoc in scala.Predef.
- Definition Classes
- ArrowAssoc
- Annotations
- @deprecated
- Deprecated
(Since version 2.13.0) Use
->
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This is the API documentation for GAPT.
The main package is gapt.