object nat extends Theory
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- nat.scala
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case class
LemmaHandle(proofName: Expr) extends Product with Serializable
Captures an LKProof together with the set of previous lemmas used in it.
Captures an LKProof together with the set of previous lemmas used in it.
- Definition Classes
- Theory
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case class
indfn(constName: String, desc: Formula) extends LemmaHelper[Unit] with Product with Serializable
- Attributes
- protected
- Definition Classes
- Theory
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case class
lemma(openFormula: Formula, attributes: String*) extends LemmaHelper[LemmaHandle] with Product with Serializable
- Attributes
- protected
- Definition Classes
- Theory
Value Members
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object
LemmaHandle extends Serializable
- Definition Classes
- Theory
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final
def
!=(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
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final
def
##(): Int
- Definition Classes
- AnyRef → Any
- val 0nes: LemmaHandle
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final
def
==(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
- val add0eq: LemmaHandle
- val add0l: LemmaHandle
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def
addNow(update: Update): Unit
- Attributes
- protected
- Definition Classes
- Theory0
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def
addProof(name: Expr, proof: ⇒ LKProof): Unit
- Attributes
- protected
- Definition Classes
- Theory0
- val addac1inst: LemmaHandle
- val addassoc: LemmaHandle
- val addcomm: LemmaHandle
- val addcommiff: LemmaHandle
- val addinj: LemmaHandle
- val addinjr: LemmaHandle
- val addinjr2: LemmaHandle
- val addmul: LemmaHandle
- val addsl: LemmaHandle
- val addsubsub: LemmaHandle
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def
allProofs: Vector[(String, Eval[DelayedProofResult])]
- Definition Classes
- Theory
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final
def
asInstanceOf[T0]: T0
- Definition Classes
- Any
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def
attr(attrNames: String*)(lemmaNames: String*): Unit
Adds a list of attributes to a list of lemmas.
Adds a list of attributes to a list of lemmas.
- Attributes
- protected
- Definition Classes
- Theory
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def
axiom(f: Formula)(implicit name: Name): Unit
Adds a formula to this theory as an axiom.
Adds a formula to this theory as an axiom.
- Attributes
- protected
- Definition Classes
- Theory
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def
clone(): AnyRef
- Attributes
- protected[java.lang]
- Definition Classes
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- Annotations
- @native() @HotSpotIntrinsicCandidate() @throws( ... )
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def
const(c: Const): Unit
Adds a constant to this theory's context.
Adds a constant to this theory's context.
- Attributes
- protected
- Definition Classes
- Theory
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implicit
def
ctx: Context
- Definition Classes
- Theory0
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def
ctxWithProofDefinitions(): ImmutableContext
- Definition Classes
- Theory
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implicit
def
curCtx: Context
- Attributes
- protected
- Definition Classes
- Theory
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def
dfn(eqn: Formula): Unit
- Attributes
- protected
- Definition Classes
- Theory
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final
def
eq(arg0: AnyRef): Boolean
- Definition Classes
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def
equals(arg0: Any): Boolean
- Definition Classes
- AnyRef → Any
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def
fun(c: Const, equations: String*): Unit
- Attributes
- protected
- Definition Classes
- Theory
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final
def
getClass(): Class[_]
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
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def
hashCode(): Int
- Definition Classes
- AnyRef → Any
- Annotations
- @native() @HotSpotIntrinsicCandidate()
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val
imports: List[Theory]
- Definition Classes
- Theory0
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def
indTy(ty0: Ty, ctrs: Const*): Unit
- Attributes
- protected
- Definition Classes
- Theory
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def
infix(operator: String, precedence: Int, leftAssociative: Boolean = true, const: String = null): Unit
Adds an operator as infix notation for an existing constant.
Adds an operator as infix notation for an existing constant.
- operator
The operator to add.
- precedence
The precedence of the operator.
- leftAssociative
Whether the operator associates to the left.
- const
The constant which the operator denotes. If nothing is supplied, it will assumed to have the same name as the operator.
- Attributes
- protected
- Definition Classes
- Theory
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final
def
isInstanceOf[T0]: Boolean
- Definition Classes
- Any
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def
main(args: Array[String]): Unit
- Definition Classes
- Theory
- val mul0eq: LemmaHandle
- val mul0l: LemmaHandle
- val mul1: LemmaHandle
- val mul1eq: LemmaHandle
- val mulac1inst: LemmaHandle
- val muladd: LemmaHandle
- val mulassoc: LemmaHandle
- val mulcomm: LemmaHandle
- val mulcommiff: LemmaHandle
- val muleq1: LemmaHandle
- val mulid: LemmaHandle
- val mulinj: LemmaHandle
- val mulinjr: LemmaHandle
- val mulsl: LemmaHandle
- val mulsub: LemmaHandle
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final
def
ne(arg0: AnyRef): Boolean
- Definition Classes
- AnyRef
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final
def
notify(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
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final
def
notifyAll(): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @HotSpotIntrinsicCandidate()
- val pow1: LemmaHandle
- val powadd: LemmaHandle
- val poweq1: LemmaHandle
- val powmull: LemmaHandle
- val powmulr: LemmaHandle
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def
proof(name: String): LKProof
- Definition Classes
- Theory
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def
proofsHere: Vector[(String, Eval[DelayedProofResult])]
- Definition Classes
- Theory0
- val sinj: LemmaHandle
- val sne0: LemmaHandle
- val sor0: LemmaHandle
- val sp: LemmaHandle
- val sub0l: LemmaHandle
- val subadd: LemmaHandle
- val subaddl: LemmaHandle
- val subaddr: LemmaHandle
- val subpl: LemmaHandle
- val subps: LemmaHandle
- val subself: LemmaHandle
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final
def
synchronized[T0](arg0: ⇒ T0): T0
- Definition Classes
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def
toString(): String
- Definition Classes
- AnyRef → Any
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val
transitiveImports: Vector[Theory]
- Definition Classes
- Theory
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final
def
wait(arg0: Long, arg1: Int): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws( ... )
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final
def
wait(arg0: Long): Unit
- Definition Classes
- AnyRef
- Annotations
- @native() @throws( ... )
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final
def
wait(): Unit
- Definition Classes
- AnyRef
- Annotations
- @throws( ... )
This is the API documentation for GAPT.
The main package is gapt.