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Formal Language: 



KB Term:  Term intersection
English Word: 

Sigma KEE - equal
equal

appearance as argument number 1
-------------------------


s__documentation(s__equal__m,s__ChineseLanguage,'"假如 ?ENTITY1 等于 ?ENTITY2的话,那么 (equal ?ENTITY1 ?ENTITY2) 就是真的。"')

chinese_format.kif 1391-1392

appearance as argument number 2
-------------------------


s__format(s__ChineseLanguage,s__equal__m,'"%1 %n equal %2"')

chinese_format.kif 297-297
s__format(s__EnglishLanguage,s__equal__m,'"%1 is %n equal to %2"')

english_format.kif 302-302
s__termFormat(s__ChineseLanguage,s__equal__m,'"等于"')

chinese_format.kif 298-298
s__termFormat(s__ChineseTraditionalLanguage,s__equal__m,'"等於"')

domainEnglishFormat.kif 22310-22310
s__termFormat(s__EnglishLanguage,s__equal__m,'"equal"')

domainEnglishFormat.kif 22309-22309

antecedent
-------------------------


( ! [V__NUMBER1,V__NUMBER2] :
   (((((s__AbsoluteValueFn(V__NUMBER1)
           = V__NUMBER2)
         &
         s__instance(V__NUMBER1,s__RealNumber) &
         s__instance(V__NUMBER2,s__RealNumber))
       =>
       ((s__instance(V__NUMBER1,s__NonnegativeRealNumber) &
           (V__NUMBER1 = V__NUMBER2))
         |
         (s__instance(V__NUMBER1,s__NegativeRealNumber) &
           (V__NUMBER2 = s__SubtractionFn(n__0_0,V__NUMBER1)))))
   &
   (((s__instance(V__NUMBER1,s__NonnegativeRealNumber) &
         (V__NUMBER1 = V__NUMBER2))
       |
       (s__instance(V__NUMBER1,s__NegativeRealNumber) &
         (V__NUMBER2 = s__SubtractionFn(n__0_0,V__NUMBER1))))
   =>
   ((s__AbsoluteValueFn(V__NUMBER1)
     = V__NUMBER2)
   &
   s__instance(V__NUMBER1,s__RealNumber) &
   s__instance(V__NUMBER2,s__RealNumber))))
)
)

Merge.kif 4630-4641 The absolute value of a real number is equal to a nonnegative real number and the real number is an instance of real number and the nonnegative real number is an instance of real number if and only if the real number is an instance of nonnegative real number and the real number is equal to the nonnegative real number or the real number is an instance of negative real number and the nonnegative real number is equal to (0.0 and the real number)
( ! [V__LIST3,V__LIST1,V__LIST2] :
   (((s__instance(V__LIST3,s__List) &
         s__instance(V__LIST1,s__List) &
         s__instance(V__LIST2,s__List))
       =>
       (((((V__LIST3 = s__ListConcatenateFn(V__LIST1,V__LIST2))
             &
             ~((V__LIST1 = s__NullList))
               &
               ~((V__LIST2 = s__NullList)))
               =>
               ( ! [V__NUMBER1, V__NUMBER2] :
                 (((s__lessThanOrEqualTo(V__NUMBER1,s__ListLengthFn(V__LIST1))
                   &
                   s__lessThanOrEqualTo(V__NUMBER2,s__ListLengthFn(V__LIST2))
               &
               s__instance(V__NUMBER1,s__PositiveInteger) &
               s__instance(V__NUMBER2,s__PositiveInteger))
             =>
             (((s__ListOrderFn(V__LIST3,V__NUMBER1)
                 = s__ListOrderFn(V__LIST1,V__NUMBER1))
             &
             (s__ListOrderFn(V__LIST3,s__AdditionFn(s__ListLengthFn(V__LIST1)
            ,V__NUMBER2))
         = s__ListOrderFn(V__LIST2,V__NUMBER2))))))))
&
(( ! [V__NUMBER1, V__NUMBER2] :
(((s__lessThanOrEqualTo(V__NUMBER1,s__ListLengthFn(V__LIST1))
&
s__lessThanOrEqualTo(V__NUMBER2,s__ListLengthFn(V__LIST2))
&
s__instance(V__NUMBER1,s__PositiveInteger) &
s__instance(V__NUMBER2,s__PositiveInteger))
=>
(((s__ListOrderFn(V__LIST3,V__NUMBER1)
= s__ListOrderFn(V__LIST1,V__NUMBER1))
&
(s__ListOrderFn(V__LIST3,s__AdditionFn(s__ListLengthFn(V__LIST1)
,V__NUMBER2))
= s__ListOrderFn(V__LIST2,V__NUMBER2)))))))
=>
((V__LIST3 = s__ListConcatenateFn(V__LIST1,V__LIST2))
&
~((V__LIST1 = s__NullList))
&
~((V__LIST2 = s__NullList)))))))
)
)

Merge.kif 3012-3028 A list is equal to the list composed of another list and a third list and the other list is not equal to null list and the third list is not equal to null list if and only if for all a positive integer and another positive integer
( ! [V__Agent,V__Account,V__Asset] :
   (((s__instance(V__Agent,s__CognitiveAgent) &
         s__instance(V__Asset,s__FinancialAsset) &
         s__instance(V__Asset,s__Object))
       =>
       ((((s__instance(V__Account,s__FinancialAccount) &
               s__possesses(V__Agent,V__Asset)
             &
             (V__Account = s__AccountFn(V__Asset)))
         =>
         s__accountHolder(V__Account,V__Agent))
     &
     (s__accountHolder(V__Account,V__Agent)
     =>
     (s__instance(V__Account,s__FinancialAccount) &
       s__possesses(V__Agent,V__Asset)
     &
     (V__Account = s__AccountFn(V__Asset)))))))
)
)

FinancialOntology.kif 2291-2296 A financial account is an instance of financial account and a cognitive agent possesses a financial asset and the financial account is equal to the account of the financial asset if and only if the cognitive agent holds account the financial account
( ! [V__AMOUNT,V__UNIT] :
   (((s__instance(V__AMOUNT,s__Number) &
         s__instance(V__AMOUNT,s__PhysicalQuantity))
       =>
       ((((s__instance(V__UNIT,s__UnitOfMeasure) &
               (V__AMOUNT = s__MeasureFn(n__1,s__SquareUnitFn(V__UNIT))))
         =>
         (V__AMOUNT = s__MultiplicationFn(s__MeasureFn(n__1,V__UNIT)
        ,s__MeasureFn(n__1,V__UNIT))))
&
((V__AMOUNT = s__MultiplicationFn(s__MeasureFn(n__1,V__UNIT)
  ,s__MeasureFn(n__1,V__UNIT)))
=>
(s__instance(V__UNIT,s__UnitOfMeasure) &
(V__AMOUNT = s__MeasureFn(n__1,s__SquareUnitFn(V__UNIT))))))))
)
)

Geography.kif 3804-3808 An unit of measure is an instance of unit of measure and a number is equal to 1 the square unit of the unit of measure(s) if and only if the number is equal to 1 the unit of measure(s) and 1 the unit of measure(s)
No TPTP formula. May not be expressible in strict first order. People.kif 108-121 The births per thousand of a geopolitical area and the year an integer is equal to a real number if and only if the population of the geopolitical area and 1000 is equal to a number and another integer is equal to the number of instances in the class described by a symbolic string and the other integer and the number is equal to the real number
No TPTP formula. May not be expressible in strict first order. People.kif 142-155 The deaths per thousand of a geopolitical area and the year an integer is equal to a real number if and only if the population of the geopolitical area and 1000 is equal to a number and another integer is equal to the number of instances in the class described by a symbolic string and the other integer and the number is equal to the real number
No TPTP formula. May not be expressible in strict first order. People.kif 257-281 The deaths per thousand live births of a geopolitical area and the year an integer is equal to a real number if and only if another integer is equal to the number of instances in the class described by a symbolic string and the other integer and 1000 is equal to a number and a third integer is equal to the number of instances in the class described by another symbolic string and the third integer and the number is equal to the real number
No TPTP formula. May not be expressible in strict first order. People.kif 415-446 The female life expectancy at birth of a geopolitical area and the year an integer is equal to a real number if and only if there exists a list such that the list is an instance of list and length of the list is an instance of another integer and for all the listITEM and the real number is an average of the list
( ! [V__LIST,V__ITEM] :
   ((s__instance(V__LIST,s__List) =>
       ((((s__LastFn(V__LIST)
             = V__ITEM)
           =>
           ( ? [V__NUMBER] :
             ((s__instance(V__NUMBER,s__PositiveInteger) &
                 ((s__ListLengthFn(V__LIST)
                   = V__NUMBER)
                 &
                 (s__ListOrderFn(V__LIST,V__NUMBER)
                 = V__ITEM))))))
     &
     (( ? [V__NUMBER] :
         ((s__instance(V__NUMBER,s__PositiveInteger) &
             ((s__ListLengthFn(V__LIST)
               = V__NUMBER)
             &
             (s__ListOrderFn(V__LIST,V__NUMBER)
             = V__ITEM)))))
   =>
   (s__LastFn(V__LIST)
   = V__ITEM)))))
)
)

Merge.kif 3140-3145 The last of a list is equal to an entity if and only if there exists a positive integer such that length of the list is equal to the positive integer and the positive integerth element of the list is equal to the entity
No TPTP formula. May not be expressible in strict first order. People.kif 327-357 The life expectancy at birth of a geopolitical area and the year an integer is equal to a real number if and only if there exists a list such that the list is an instance of list and length of the list is an instance of another integer and for all the listITEM and the real number is an average of the list
No TPTP formula. May not be expressible in strict first order. People.kif 371-402 The male life expectancy at birth of a geopolitical area and the year an integer is equal to a real number if and only if there exists a list such that the list is an instance of list and length of the list is an instance of another integer and for all the listITEM and the real number is an average of the list
No TPTP formula. May not be expressible in strict first order. People.kif 225-242 The male to female ratio of a geopolitical area is equal to a real number if and only if an integer is equal to the number of instances in the class described by a symbolic string and another integer is equal to the number of instances in the class described by another symbolic string and the integer and the other integer is equal to the real number
No TPTP formula. May not be expressible in strict first order. People.kif 178-206 The migrants per thousand of a geopolitical area and the year an integer is equal to a real number if and only if (the integer and a number) is equal to 1 and the population of the geopolitical area is equal to another number holds during the year the integer and the other number and 1000 is equal to a third number and another integer is equal to the number of instances in the class described by a symbolic string and a third integer is equal to the number of instances in the class described by the symbolic string and (the other integer and the third integer) is equal to a fourth number and the fourth number and the third number is equal to the real number
No TPTP formula. May not be expressible in strict first order. People.kif 78-90 The population growth of a geopolitical area and the year an integer is equal to a real number if and only if there exist a kind of year and another kind of year such that (the integer and another integer) is equal to 1 and a kind of year is equal to the year the integer and another kind of year is equal to the year the other integer and the population of the geopolitical area is equal to a number holds during the kind of year and the population of the geopolitical area is equal to another number holds during the other kind of year and the number and the other number is equal to a third number and (the third number and 1) is equal to the real number
( ! [V__NUMBER1,V__NUMBER2,V__NUMBER] :
   (((s__instance(V__NUMBER1,s__Integer) &
         s__instance(V__NUMBER2,s__Integer) &
         s__instance(V__NUMBER,s__Integer))
       =>
       ((((s__RemainderFn(V__NUMBER1,V__NUMBER2)
             = V__NUMBER)
           =>
           (s__AdditionFn(s__MultiplicationFn(s__FloorFn(s__DivisionFn(V__NUMBER1,V__NUMBER2))
        ,V__NUMBER2)
      ,V__NUMBER)
     = V__NUMBER1))
&
((s__AdditionFn(s__MultiplicationFn(s__FloorFn(s__DivisionFn(V__NUMBER1,V__NUMBER2))
,V__NUMBER2)
,V__NUMBER)
= V__NUMBER1)
=>
(s__RemainderFn(V__NUMBER1,V__NUMBER2)
= V__NUMBER)))))
)
)

Merge.kif 4943-4945 An integer mod another integer is equal to a third integer if and only if (the largest integer less than or equal to the integer and the other integer and the other integer and the third integer) is equal to the integer
( ! [V__AMOUNT,V__PERSON] :
   (((s__instance(V__AMOUNT,s__CurrencyMeasure) &
         s__instance(V__PERSON,s__Agent))
       =>
       ((((s__WealthFn(V__PERSON)
             = V__AMOUNT)
           =>
           s__monetaryValue(s__PropertyFn(V__PERSON)
        ,V__AMOUNT))
     &
     (s__monetaryValue(s__PropertyFn(V__PERSON)
    ,V__AMOUNT)
   =>
   (s__WealthFn(V__PERSON)
   = V__AMOUNT)))))
)
)

Merge.kif 7587-7589 Value of belongings of an agent is equal to a currency measure if and only if value of belongings of the agent is the currency measure
No TPTP formula. May not be expressible in strict first order. Merge.kif 4128-4130 The place where a physical was at a time point is equal to a region if and only if the physical is exactly located in the region holds during the time point
( ! [V__SD,V__L] :
   (((s__instance(V__SD,s__RealNumber) &
         s__instance(V__L,s__List))
       =>
       ((((V__SD = s__StandardDeviationFn(V__L))
           =>
           (V__SD = s__SquareRootFn(s__VarianceFn(V__L))))
     &
     ((V__SD = s__SquareRootFn(s__VarianceFn(V__L)))
   =>
   (V__SD = s__StandardDeviationFn(V__L))))))
)
)

Weather.kif 1507-1512 A real number is equal to The StandardDeviationFn of a list if and only if the real number is equal to the squareRoot of The VarianceFn the list
( ! [V__SPEED,V__NUM] :
   (((s__instance(V__SPEED,s__FunctionQuantity) &
         s__instance(V__NUM,s__RealNumber))
       =>
       ((((V__SPEED = s__MeasureFn(V__NUM,s__MilesPerHour))
             =>
             (V__SPEED = s__SpeedFn(s__MeasureFn(V__NUM,s__Mile),s__MeasureFn(n__1,s__HourDuration))))
         &
         ((V__SPEED = s__SpeedFn(s__MeasureFn(V__NUM,s__Mile),s__MeasureFn(n__1,s__HourDuration)))
         =>
         (V__SPEED = s__MeasureFn(V__NUM,s__MilesPerHour))))))
)
)

Weather.kif 1701-1707 A function quantity is equal to a real number miles per hour(s) if and only if the function quantity is equal to the real number mile(s) per 1 hour duration(s)
( ! [V__Agent,V__Activity,V__ATIncome] :
   (((s__instance(V__Agent,s__Human) &
         s__instance(V__Activity,s__OrganizationalProcess) &
         s__instance(V__ATIncome,s__Number) &
         s__instance(V__ATIncome,s__CurrencyMeasure))
       =>
       (((( ? [V__Income, V__Tax, V__TaxAmount] :
               ((s__instance(V__Income,s__Number) &
                   s__instance(V__Income,s__CurrencyMeasure) &
                   s__instance(V__Tax,s__ChargingAFee) &
                   s__instance(V__TaxAmount,s__Number) &
                   s__instance(V__TaxAmount,s__CurrencyMeasure) &
                   (s__incomeEarned(V__Agent,V__Income,V__Activity)
                   &
                   s__amountCharged(V__Tax,V__TaxAmount)
                 &
                 s__causes(V__Activity,V__Tax)
               &
               (V__ATIncome = s__SubtractionFn(V__Income,V__TaxAmount))))))
     =>
     s__afterTaxIncome(V__Agent,V__ATIncome,V__Activity))
&
(s__afterTaxIncome(V__Agent,V__ATIncome,V__Activity)
=>
( ? [V__Income, V__Tax, V__TaxAmount] :
   ((s__instance(V__Income,s__Number) &
       s__instance(V__Income,s__CurrencyMeasure) &
       s__instance(V__Tax,s__ChargingAFee) &
       s__instance(V__TaxAmount,s__Number) &
       s__instance(V__TaxAmount,s__CurrencyMeasure) &
       (s__incomeEarned(V__Agent,V__Income,V__Activity)
       &
       s__amountCharged(V__Tax,V__TaxAmount)
     &
     s__causes(V__Activity,V__Tax)
   &
   (V__ATIncome = s__SubtractionFn(V__Income,V__TaxAmount))))))))))
)
)

FinancialOntology.kif 3292-3299 There exist a number, a chargingA fee and the chargingA feeAmount such that a human is income earned the number for an organizational process and the chargingA feeAmount is the amount charged in the chargingA fee and the organizational process causes the chargingA fee and a third number is equal to (the number and the chargingA feeAmount) if and only if the after tax income derived by the human from the organizational process is the third number
( ! [V__Time,V__Option] :
   (((s__instance(V__Time,s__Agent) &
         s__instance(V__Time,s__TimePosition))
       =>
       (((( ? [V__Stock, V__StockPrice, V__StrikePrice] :
               ((s__instance(V__Stock,s__FinancialInstrument) &
                   s__instance(V__StockPrice,s__CurrencyMeasure) &
                   s__instance(V__StrikePrice,s__CurrencyMeasure) &
                   (s__instance(V__Option,s__Option) &
                     s__underlier(V__Option,V__Stock)
                   &
                   s__price(V__Stock,V__StockPrice,V__Time)
                 &
                 s__strikePrice(V__Option,V__StrikePrice)
               &
               (V__StockPrice = V__StrikePrice)))))
       =>
       s__atTheMoney(V__Option,V__Time))
   &
   (s__atTheMoney(V__Option,V__Time)
   =>
   ( ? [V__Stock, V__StockPrice, V__StrikePrice] :
     ((s__instance(V__Stock,s__FinancialInstrument) &
         s__instance(V__StockPrice,s__CurrencyMeasure) &
         s__instance(V__StrikePrice,s__CurrencyMeasure) &
         (s__instance(V__Option,s__Option) &
           s__underlier(V__Option,V__Stock)
         &
         s__price(V__Stock,V__StockPrice,V__Time)
       &
       s__strikePrice(V__Option,V__StrikePrice)
     &
     (V__StockPrice = V__StrikePrice)))))))))
)
)

FinancialOntology.kif 2995-3003 There exist a financial instrument, the financial instrumentPrice and another currency measure such that an agreement is an instance of option and the financial instrument is an underlier of the agreement and the financial instrument is price the financial instrumentPrice for an agent and the other currency measure is a strike price of the agreement and the financial instrumentPrice is equal to the other currency measure if and only if the agent is an at the money of the agreement
No TPTP formula. May not be expressible in strict first order. Mid-level-ontology.kif 13405-13415
( ! [V__REGION,V__AMOUNT,V__TOTAL,V__FRACTION,V__UNIT] :
   (((s__instance(V__REGION,s__GeographicArea) &
         s__instance(V__AMOUNT,s__ConstantQuantity) &
         s__instance(V__TOTAL,s__RealNumber) &
         s__instance(V__FRACTION,s__Number) &
         s__instance(V__FRACTION,s__ConstantQuantity))
       =>
       (((s__arableLandArea(V__REGION,V__FRACTION)
           &
           s__greaterThanOrEqualTo(V__FRACTION,n__0)
         &
         s__totalArea(V__REGION,s__MeasureFn(V__TOTAL,V__UNIT))
     &
     s__instance(V__UNIT,s__UnitOfArea) &
     (V__AMOUNT = s__MeasureFn(s__MultiplicationFn(V__FRACTION,V__TOTAL)
    ,V__UNIT)))
=>
(s__arableLandArea(V__REGION,V__AMOUNT)))))
)
)

Geography.kif 2061-2068
( ! [V__REGION,V__AMOUNT,V__TOTAL,V__FRACTION] :
   (((s__instance(V__REGION,s__GeographicArea) &
         s__instance(V__AMOUNT,s__Number) &
         s__instance(V__AMOUNT,s__ConstantQuantity) &
         s__instance(V__FRACTION,s__Number) &
         s__instance(V__FRACTION,s__ConstantQuantity))
       =>
       (((s__arableLandArea(V__REGION,V__FRACTION)
           &
           s__greaterThanOrEqualTo(V__FRACTION,n__0)
         &
         s__totalArea(V__REGION,V__TOTAL)
       &
       s__instance(V__TOTAL,s__AreaMeasure) &
       (V__AMOUNT = s__MultiplicationFn(V__FRACTION,V__TOTAL)))
   =>
   (s__arableLandArea(V__REGION,V__AMOUNT)))))
)
)

Geography.kif 2052-2059
No TPTP formula. May not be expressible in strict first order. ArabicCulture.kif 193-212

Display limited to 25 items. Show next 25

Display limited to 25 items. Show next 25

consequent
-------------------------


( ! [V__NUMBER1,V__NUMBER2] :
   (((((s__AbsoluteValueFn(V__NUMBER1)
           = V__NUMBER2)
         &
         s__instance(V__NUMBER1,s__RealNumber) &
         s__instance(V__NUMBER2,s__RealNumber))
       =>
       ((s__instance(V__NUMBER1,s__NonnegativeRealNumber) &
           (V__NUMBER1 = V__NUMBER2))
         |
         (s__instance(V__NUMBER1,s__NegativeRealNumber) &
           (V__NUMBER2 = s__SubtractionFn(n__0_0,V__NUMBER1)))))
   &
   (((s__instance(V__NUMBER1,s__NonnegativeRealNumber) &
         (V__NUMBER1 = V__NUMBER2))
       |
       (s__instance(V__NUMBER1,s__NegativeRealNumber) &
         (V__NUMBER2 = s__SubtractionFn(n__0_0,V__NUMBER1))))
   =>
   ((s__AbsoluteValueFn(V__NUMBER1)
     = V__NUMBER2)
   &
   s__instance(V__NUMBER1,s__RealNumber) &
   s__instance(V__NUMBER2,s__RealNumber))))
)
)

Merge.kif 4630-4641 The absolute value of a real number is equal to a nonnegative real number and the real number is an instance of real number and the nonnegative real number is an instance of real number if and only if the real number is an instance of nonnegative real number and the real number is equal to the nonnegative real number or the real number is an instance of negative real number and the nonnegative real number is equal to (0.0 and the real number)
( ! [V__LIST3,V__LIST1,V__LIST2] :
   (((s__instance(V__LIST3,s__List) &
         s__instance(V__LIST1,s__List) &
         s__instance(V__LIST2,s__List))
       =>
       (((((V__LIST3 = s__ListConcatenateFn(V__LIST1,V__LIST2))
             &
             ~((V__LIST1 = s__NullList))
               &
               ~((V__LIST2 = s__NullList)))
               =>
               ( ! [V__NUMBER1, V__NUMBER2] :
                 (((s__lessThanOrEqualTo(V__NUMBER1,s__ListLengthFn(V__LIST1))
                   &
                   s__lessThanOrEqualTo(V__NUMBER2,s__ListLengthFn(V__LIST2))
               &
               s__instance(V__NUMBER1,s__PositiveInteger) &
               s__instance(V__NUMBER2,s__PositiveInteger))
             =>
             (((s__ListOrderFn(V__LIST3,V__NUMBER1)
                 = s__ListOrderFn(V__LIST1,V__NUMBER1))
             &
             (s__ListOrderFn(V__LIST3,s__AdditionFn(s__ListLengthFn(V__LIST1)
            ,V__NUMBER2))
         = s__ListOrderFn(V__LIST2,V__NUMBER2))))))))
&
(( ! [V__NUMBER1, V__NUMBER2] :
(((s__lessThanOrEqualTo(V__NUMBER1,s__ListLengthFn(V__LIST1))
&
s__lessThanOrEqualTo(V__NUMBER2,s__ListLengthFn(V__LIST2))
&
s__instance(V__NUMBER1,s__PositiveInteger) &
s__instance(V__NUMBER2,s__PositiveInteger))
=>
(((s__ListOrderFn(V__LIST3,V__NUMBER1)
= s__ListOrderFn(V__LIST1,V__NUMBER1))
&
(s__ListOrderFn(V__LIST3,s__AdditionFn(s__ListLengthFn(V__LIST1)
,V__NUMBER2))
= s__ListOrderFn(V__LIST2,V__NUMBER2)))))))
=>
((V__LIST3 = s__ListConcatenateFn(V__LIST1,V__LIST2))
&
~((V__LIST1 = s__NullList))
&
~((V__LIST2 = s__NullList)))))))
)
)

Merge.kif 3012-3028 A list is equal to the list composed of another list and a third list and the other list is not equal to null list and the third list is not equal to null list if and only if for all a positive integer and another positive integer
( ! [V__AMOUNT,V__UNIT] :
   (((s__instance(V__AMOUNT,s__Number) &
         s__instance(V__AMOUNT,s__PhysicalQuantity))
       =>
       ((((s__instance(V__UNIT,s__UnitOfMeasure) &
               (V__AMOUNT = s__MeasureFn(n__1,s__SquareUnitFn(V__UNIT))))
         =>
         (V__AMOUNT = s__MultiplicationFn(s__MeasureFn(n__1,V__UNIT)
        ,s__MeasureFn(n__1,V__UNIT))))
&
((V__AMOUNT = s__MultiplicationFn(s__MeasureFn(n__1,V__UNIT)
  ,s__MeasureFn(n__1,V__UNIT)))
=>
(s__instance(V__UNIT,s__UnitOfMeasure) &
(V__AMOUNT = s__MeasureFn(n__1,s__SquareUnitFn(V__UNIT))))))))
)
)

Geography.kif 3804-3808 An unit of measure is an instance of unit of measure and a number is equal to 1 the square unit of the unit of measure(s) if and only if the number is equal to 1 the unit of measure(s) and 1 the unit of measure(s)
( ! [V__MUSIC] :
   (((s__instance(V__MUSIC,s__Object) &
         s__instance(V__MUSIC,s__Process))
       =>
       (((s__attribute(V__MUSIC,s__PolyphonicMusic) =>
             ( ? [V__PART1, V__PART2] :
               ((s__instance(V__MUSIC,s__MakingMusic) &
                   s__instance(V__PART1,s__MakingMusic) &
                   s__instance(V__PART2,s__MakingMusic) &
                   s__subProcess(V__PART1,V__MUSIC)
                 &
                 s__subProcess(V__PART2,V__MUSIC)
               &
               ~((V__PART1 = V__PART2))
               &
               s__cooccur(V__PART1,V__MUSIC)
             &
             s__cooccur(V__PART2,V__MUSIC)))))
   &
   (( ? [V__PART1, V__PART2] :
       ((s__instance(V__MUSIC,s__MakingMusic) &
           s__instance(V__PART1,s__MakingMusic) &
           s__instance(V__PART2,s__MakingMusic) &
           s__subProcess(V__PART1,V__MUSIC)
         &
         s__subProcess(V__PART2,V__MUSIC)
       &
       ~((V__PART1 = V__PART2))
       &
       s__cooccur(V__PART1,V__MUSIC)
     &
     s__cooccur(V__PART2,V__MUSIC))))
=>
s__attribute(V__MUSIC,s__PolyphonicMusic)))))
)
)

Mid-level-ontology.kif 695-706 Polyphonic music is an attribute of an object if and only if there exist a process and another process such that the object is an instance of making music and the process is an instance of making music and the other process is an instance of making music and the process is a subprocess of the object and the other process is a subprocess of the object and the process is not equal to the other process and the process occurs at the same time as the object and the other process occurs at the same time as the object
( ! [V__LASTPLACE,V__LIST1,V__AVERAGE] :
   (((s__instance(V__LASTPLACE,s__PositiveInteger) &
         s__instance(V__LIST1,s__List) &
         s__instance(V__AVERAGE,s__RealNumber))
       =>
       (((s__average(V__LIST1,V__AVERAGE)
           =>
           ( ? [V__LIST2] :
             ((s__instance(V__LIST2,s__List) &
                 ((s__ListLengthFn(V__LIST2)
                   = s__ListLengthFn(V__LIST1))
               &
               (s__ListOrderFn(V__LIST2,n__1)
               = s__ListOrderFn(V__LIST1,n__1))
           &
           ( ! [V__ITEMFROM2] :
             ((s__instance(V__ITEMFROM2,s__PositiveInteger) =>
                 ((s__inList(V__ITEMFROM2,V__LIST2)
                   =>
                   (( ? [V__POSITION, V__POSITIONMINUSONE, V__ITEMFROM1, V__PRIORFROM2] :
                       ((s__instance(V__POSITION,s__Number) &
                           s__instance(V__POSITIONMINUSONE,s__Number) &
                           s__instance(V__ITEMFROM1,s__PositiveInteger) &
                           s__instance(V__PRIORFROM2,s__PositiveInteger) &
                           (s__greaterThan(V__POSITION,n__1)
                           &
                           s__lessThanOrEqualTo(V__POSITION,s__ListLengthFn(V__LIST2))
                       &
                       (s__ListOrderFn(V__LIST2,V__ITEMFROM2)
                       = V__POSITION)
                     &
                     s__inList(V__ITEMFROM1,V__LIST1)
                   &
                   (V__POSITION = s__ListOrderFn(V__LIST1,V__ITEMFROM1))
                 &
                 s__inList(V__PRIORFROM2,V__LIST2)
               &
               (V__POSITIONMINUSONE = s__SubtractionFn(V__POSITION,n__1))
             &
             (V__POSITIONMINUSONE = s__ListOrderFn(V__LIST2,V__PRIORFROM2))
           &
           (V__ITEMFROM2 = s__AdditionFn(V__ITEMFROM1,V__PRIORFROM2))))))))))))
&
(V__LASTPLACE = s__ListLengthFn(V__LIST2))
&
(V__AVERAGE = s__DivisionFn(s__ListOrderFn(V__LIST2,V__LASTPLACE)
,V__LASTPLACE)))))))
&
(( ? [V__LIST2] :
((s__instance(V__LIST2,s__List) &
((s__ListLengthFn(V__LIST2)
= s__ListLengthFn(V__LIST1))
&
(s__ListOrderFn(V__LIST2,n__1)
= s__ListOrderFn(V__LIST1,n__1))
&
( ! [V__ITEMFROM2] :
((s__instance(V__ITEMFROM2,s__PositiveInteger) =>
((s__inList(V__ITEMFROM2,V__LIST2)
=>
(( ? [V__POSITION, V__POSITIONMINUSONE, V__ITEMFROM1, V__PRIORFROM2] :
((s__instance(V__POSITION,s__Number) &
s__instance(V__POSITIONMINUSONE,s__Number) &
s__instance(V__ITEMFROM1,s__PositiveInteger) &
s__instance(V__PRIORFROM2,s__PositiveInteger) &
(s__greaterThan(V__POSITION,n__1)
&
s__lessThanOrEqualTo(V__POSITION,s__ListLengthFn(V__LIST2))
&
(s__ListOrderFn(V__LIST2,V__ITEMFROM2)
= V__POSITION)
&
s__inList(V__ITEMFROM1,V__LIST1)
&
(V__POSITION = s__ListOrderFn(V__LIST1,V__ITEMFROM1))
&
s__inList(V__PRIORFROM2,V__LIST2)
&
(V__POSITIONMINUSONE = s__SubtractionFn(V__POSITION,n__1))
&
(V__POSITIONMINUSONE = s__ListOrderFn(V__LIST2,V__PRIORFROM2))
&
(V__ITEMFROM2 = s__AdditionFn(V__ITEMFROM1,V__PRIORFROM2))))))))))))
&
(V__LASTPLACE = s__ListLengthFn(V__LIST2))
&
(V__AVERAGE = s__DivisionFn(s__ListOrderFn(V__LIST2,V__LASTPLACE)
,V__LASTPLACE))))))
=>
s__average(V__LIST1,V__AVERAGE)))))
)
)

People.kif 289-310 A real number is an average of a list if and only if there exists another list such that length of the other list is equal to length of the list and 1th element of the other list is equal to 1th element of the list and for all a positive integer and a fourth positive integer is equal to length of the other list and the real number is equal to the fourth positive integerth element of the other list and the fourth positive integer
( ! [V__P,V__P2,V__N1,V__R,V__N2,V__BG,V__N] :
   (((s__instance(V__P,s__Physical) &
         s__instance(V__P2,s__Physical) &
         s__instance(V__N1,s__Integer) &
         s__instance(V__R,s__GeographicArea) &
         s__instance(V__N2,s__Integer) &
         s__instance(V__BG,s__BeliefGroup) &
         s__instance(V__N,s__RealNumber))
       =>
       (((s__beliefGroupPercentInRegion(V__BG,V__N,V__R)
           =>
           ( ? [V__G1, V__G2] :
             ((s__instance(V__G1,s__Collection) &
                 s__instance(V__G2,s__Collection) &
                 (s__located(V__P,V__R)
                 &
                 s__member(V__P,V__BG)
               &
               s__member(V__P,V__G1)
             &
             s__memberCount(V__G1,V__N1)
           &
           s__located(V__P2,V__R)
         &
         s__member(V__P2,V__G2)
       &
       s__memberCount(V__G2,V__N2)
     &
     (s__DivisionFn(V__N,n__100)
     = s__DivisionFn(V__N1,V__N2)))))))
&
(( ? [V__G1, V__G2] :
((s__instance(V__G1,s__Collection) &
s__instance(V__G2,s__Collection) &
(s__located(V__P,V__R)
&
s__member(V__P,V__BG)
&
s__member(V__P,V__G1)
&
s__memberCount(V__G1,V__N1)
&
s__located(V__P2,V__R)
&
s__member(V__P2,V__G2)
&
s__memberCount(V__G2,V__N2)
&
(s__DivisionFn(V__N,n__100)
= s__DivisionFn(V__N1,V__N2))))))
=>
s__beliefGroupPercentInRegion(V__BG,V__N,V__R)))))
)
)

People.kif 1535-1546 A real number percent of people in a geographic area believe in a belief group if and only if there exist a collection and another collection such that a physical is located at the geographic area and the physical is a member of the belief group and the physical is a member of the collection and the real number1 is a member count of the collection and the physical2 is located at the geographic area and the physical2 is a member of the other collection and the real number2 is a member count of the other collection and the real number and 100 is equal to the real number1 and the real number2
( ! [V__R,V__E,V__MAX,V__MIN,V__M] :
   (((s__instance(V__R,s__RealNumber) &
         s__instance(V__E,s__Engine) &
         s__instance(V__MAX,s__RealNumber) &
         s__instance(V__MIN,s__RealNumber) &
         s__instance(V__M,s__UnitOfMeasure))
       =>
       (((s__compressionRatio(V__E,V__R)
           =>
           (s__minCylinderVolume(V__E,s__MeasureFn(V__MIN,V__M))
         &
         s__maxCylinderVolume(V__E,s__MeasureFn(V__MAX,V__M))
     &
     (V__R = s__DivisionFn(V__MIN,V__MAX))))
&
((s__minCylinderVolume(V__E,s__MeasureFn(V__MIN,V__M))
&
s__maxCylinderVolume(V__E,s__MeasureFn(V__MAX,V__M))
&
(V__R = s__DivisionFn(V__MIN,V__MAX)))
=>
s__compressionRatio(V__E,V__R)))))
)
)

Cars.kif 1928-1933 The compression ratio of an engine is a real number if and only if the minimum volume of the cylinders in the engine the engine is another real number an unit of measure(s) and the maximum volume of the cylinders in the engine the engine is the unit of measureAX the unit of measure(s) and the real number is equal to the other real number and the unit of measureAX
( ! [V__PHYS1,V__PHYS2] :
   (((s__instance(V__PHYS1,s__Physical) &
         s__instance(V__PHYS2,s__Physical))
       =>
       (((s__cooccur(V__PHYS1,V__PHYS2)
           =>
           (s__WhenFn(V__PHYS1)
           = s__WhenFn(V__PHYS2)))
     &
     ((s__WhenFn(V__PHYS1)
       = s__WhenFn(V__PHYS2))
   =>
   s__cooccur(V__PHYS1,V__PHYS2)))))
)
)

Merge.kif 8052-8054 A physical occurs at the same time as another physical if and only if the time of existence of the physical is equal to the time of existence of the other physical
No TPTP formula. May not be expressible in strict first order. People.kif 108-121 The births per thousand of a geopolitical area and the year an integer is equal to a real number if and only if the population of the geopolitical area and 1000 is equal to a number and another integer is equal to the number of instances in the class described by a symbolic string and the other integer and the number is equal to the real number
No TPTP formula. May not be expressible in strict first order. People.kif 142-155 The deaths per thousand of a geopolitical area and the year an integer is equal to a real number if and only if the population of the geopolitical area and 1000 is equal to a number and another integer is equal to the number of instances in the class described by a symbolic string and the other integer and the number is equal to the real number
No TPTP formula. May not be expressible in strict first order. People.kif 257-281 The deaths per thousand live births of a geopolitical area and the year an integer is equal to a real number if and only if another integer is equal to the number of instances in the class described by a symbolic string and the other integer and 1000 is equal to a number and a third integer is equal to the number of instances in the class described by another symbolic string and the third integer and the number is equal to the real number
No TPTP formula. May not be expressible in strict first order. People.kif 415-446 The female life expectancy at birth of a geopolitical area and the year an integer is equal to a real number if and only if there exists a list such that the list is an instance of list and length of the list is an instance of another integer and for all the listITEM and the real number is an average of the list
( ! [V__LIST,V__ITEM] :
   ((s__instance(V__LIST,s__List) =>
       ((((s__LastFn(V__LIST)
             = V__ITEM)
           =>
           ( ? [V__NUMBER] :
             ((s__instance(V__NUMBER,s__PositiveInteger) &
                 ((s__ListLengthFn(V__LIST)
                   = V__NUMBER)
                 &
                 (s__ListOrderFn(V__LIST,V__NUMBER)
                 = V__ITEM))))))
     &
     (( ? [V__NUMBER] :
         ((s__instance(V__NUMBER,s__PositiveInteger) &
             ((s__ListLengthFn(V__LIST)
               = V__NUMBER)
             &
             (s__ListOrderFn(V__LIST,V__NUMBER)
             = V__ITEM)))))
   =>
   (s__LastFn(V__LIST)
   = V__ITEM)))))
)
)

Merge.kif 3140-3145 The last of a list is equal to an entity if and only if there exists a positive integer such that length of the list is equal to the positive integer and the positive integerth element of the list is equal to the entity
No TPTP formula. May not be expressible in strict first order. People.kif 327-357 The life expectancy at birth of a geopolitical area and the year an integer is equal to a real number if and only if there exists a list such that the list is an instance of list and length of the list is an instance of another integer and for all the listITEM and the real number is an average of the list
No TPTP formula. May not be expressible in strict first order. People.kif 371-402 The male life expectancy at birth of a geopolitical area and the year an integer is equal to a real number if and only if there exists a list such that the list is an instance of list and length of the list is an instance of another integer and for all the listITEM and the real number is an average of the list
No TPTP formula. May not be expressible in strict first order. People.kif 225-242 The male to female ratio of a geopolitical area is equal to a real number if and only if an integer is equal to the number of instances in the class described by a symbolic string and another integer is equal to the number of instances in the class described by another symbolic string and the integer and the other integer is equal to the real number
No TPTP formula. May not be expressible in strict first order. People.kif 178-206 The migrants per thousand of a geopolitical area and the year an integer is equal to a real number if and only if (the integer and a number) is equal to 1 and the population of the geopolitical area is equal to another number holds during the year the integer and the other number and 1000 is equal to a third number and another integer is equal to the number of instances in the class described by a symbolic string and a third integer is equal to the number of instances in the class described by the symbolic string and (the other integer and the third integer) is equal to a fourth number and the fourth number and the third number is equal to the real number
No TPTP formula. May not be expressible in strict first order. People.kif 78-90 The population growth of a geopolitical area and the year an integer is equal to a real number if and only if there exist a kind of year and another kind of year such that (the integer and another integer) is equal to 1 and a kind of year is equal to the year the integer and another kind of year is equal to the year the other integer and the population of the geopolitical area is equal to a number holds during the kind of year and the population of the geopolitical area is equal to another number holds during the other kind of year and the number and the other number is equal to a third number and (the third number and 1) is equal to the real number
( ! [V__NUMBER1,V__NUMBER2,V__NUMBER] :
   (((s__instance(V__NUMBER1,s__Integer) &
         s__instance(V__NUMBER2,s__Integer) &
         s__instance(V__NUMBER,s__Integer))
       =>
       ((((s__RemainderFn(V__NUMBER1,V__NUMBER2)
             = V__NUMBER)
           =>
           (s__AdditionFn(s__MultiplicationFn(s__FloorFn(s__DivisionFn(V__NUMBER1,V__NUMBER2))
        ,V__NUMBER2)
      ,V__NUMBER)
     = V__NUMBER1))
&
((s__AdditionFn(s__MultiplicationFn(s__FloorFn(s__DivisionFn(V__NUMBER1,V__NUMBER2))
,V__NUMBER2)
,V__NUMBER)
= V__NUMBER1)
=>
(s__RemainderFn(V__NUMBER1,V__NUMBER2)
= V__NUMBER)))))
)
)

Merge.kif 4943-4945 An integer mod another integer is equal to a third integer if and only if (the largest integer less than or equal to the integer and the other integer and the other integer and the third integer) is equal to the integer
( ! [V__SD,V__L] :
   (((s__instance(V__SD,s__RealNumber) &
         s__instance(V__L,s__List))
       =>
       ((((V__SD = s__StandardDeviationFn(V__L))
           =>
           (V__SD = s__SquareRootFn(s__VarianceFn(V__L))))
     &
     ((V__SD = s__SquareRootFn(s__VarianceFn(V__L)))
   =>
   (V__SD = s__StandardDeviationFn(V__L))))))
)
)

Weather.kif 1507-1512 A real number is equal to The StandardDeviationFn of a list if and only if the real number is equal to the squareRoot of The VarianceFn the list
( ! [V__SPEED,V__NUM] :
   (((s__instance(V__SPEED,s__FunctionQuantity) &
         s__instance(V__NUM,s__RealNumber))
       =>
       ((((V__SPEED = s__MeasureFn(V__NUM,s__MilesPerHour))
             =>
             (V__SPEED = s__SpeedFn(s__MeasureFn(V__NUM,s__Mile),s__MeasureFn(n__1,s__HourDuration))))
         &
         ((V__SPEED = s__SpeedFn(s__MeasureFn(V__NUM,s__Mile),s__MeasureFn(n__1,s__HourDuration)))
         =>
         (V__SPEED = s__MeasureFn(V__NUM,s__MilesPerHour))))))
)
)

Weather.kif 1701-1707 A function quantity is equal to a real number miles per hour(s) if and only if the function quantity is equal to the real number mile(s) per 1 hour duration(s)
( ! [V__P,V__P2,V__N1,V__R,V__N2,V__BG,V__N] :
   (((s__instance(V__P,s__Physical) &
         s__instance(V__P2,s__Physical) &
         s__instance(V__N1,s__Integer) &
         s__instance(V__R,s__GeographicArea) &
         s__instance(V__N2,s__Integer) &
         s__instance(V__BG,s__EthnicGroup) &
         s__instance(V__N,s__RealNumber))
       =>
       (((s__ethnicityPercentInRegion(V__BG,V__N,V__R)
           =>
           ( ? [V__G1, V__G2] :
             ((s__instance(V__G1,s__Collection) &
                 s__instance(V__G2,s__Collection) &
                 (s__located(V__P,V__R)
                 &
                 s__member(V__P,V__BG)
               &
               s__member(V__P,V__G1)
             &
             s__memberCount(V__G1,V__N1)
           &
           s__located(V__P2,V__R)
         &
         s__member(V__P2,V__G2)
       &
       s__memberCount(V__G2,V__N2)
     &
     (s__DivisionFn(V__N,n__100)
     = s__DivisionFn(V__N1,V__N2)))))))
&
(( ? [V__G1, V__G2] :
((s__instance(V__G1,s__Collection) &
s__instance(V__G2,s__Collection) &
(s__located(V__P,V__R)
&
s__member(V__P,V__BG)
&
s__member(V__P,V__G1)
&
s__memberCount(V__G1,V__N1)
&
s__located(V__P2,V__R)
&
s__member(V__P2,V__G2)
&
s__memberCount(V__G2,V__N2)
&
(s__DivisionFn(V__N,n__100)
= s__DivisionFn(V__N1,V__N2))))))
=>
s__ethnicityPercentInRegion(V__BG,V__N,V__R)))))
)
)

People.kif 1554-1565 A real number percent of people in a geographic area are an ethnic group if and only if there exist a collection and another collection such that a physical is located at the geographic area and the physical is a member of the ethnic group and the physical is a member of the collection and the real number1 is a member count of the collection and the physical2 is located at the geographic area and the physical2 is a member of the other collection and the real number2 is a member count of the other collection and the real number and 100 is equal to the real number1 and the real number2
( ! [V__INTERVAL2,V__INTERVAL1] :
   (((s__instance(V__INTERVAL2,s__TimeInterval) &
         s__instance(V__INTERVAL1,s__TimeInterval))
       =>
       (((s__finishes(V__INTERVAL1,V__INTERVAL2)
           =>
           (s__before(s__BeginFn(V__INTERVAL2)
          ,s__BeginFn(V__INTERVAL1))
       &
       (s__EndFn(V__INTERVAL2)
       = s__EndFn(V__INTERVAL1))))
&
((s__before(s__BeginFn(V__INTERVAL2)
,s__BeginFn(V__INTERVAL1))
&
(s__EndFn(V__INTERVAL2)
= s__EndFn(V__INTERVAL1)))
=>
s__finishes(V__INTERVAL1,V__INTERVAL2)))))
)
)

Merge.kif 7840-7848 A time interval finishes another time interval if and only if the beginning of the other time interval happens before the beginning of the time interval and the end of the other time interval is equal to the end of the time interval
( ! [V__NUMBER1,V__NUMBER2] :
   (((s__instance(V__NUMBER1,s__Quantity) &
         s__instance(V__NUMBER2,s__Quantity))
       =>
       (((s__greaterThanOrEqualTo(V__NUMBER1,V__NUMBER2)
           =>
           ((V__NUMBER1 = V__NUMBER2)
             |
             s__greaterThan(V__NUMBER1,V__NUMBER2)))
       &
       (((V__NUMBER1 = V__NUMBER2)
           |
           s__greaterThan(V__NUMBER1,V__NUMBER2))
       =>
       s__greaterThanOrEqualTo(V__NUMBER1,V__NUMBER2)))))
)
)

Merge.kif 1832-1836 A quantity is greater than or equal to another quantity if and only if the quantity is equal to the other quantity or the quantity is greater than the other quantity
No TPTP formula. May not be expressible in strict first order. Mid-level-ontology.kif 29455-29468 Alone is an attribute of an entity holds during a time interval if and only if there don't exist the entity2 and a process such that the entity is not equal to the entity2 and the entity2 is an instance of agent and the process is an instance of social interaction and the time of existence of the process takes place during the time interval and the entity is an involved in event of the process and the entity2 is an involved in event of the process

Display limited to 25 items. Show next 25

Display limited to 25 items. Show next 25

statement
-------------------------


No TPTP formula. May not be expressible in strict first order. Military.kif 928-941 The reaching military age annually male of a geopolitical area and a year is equal to the number of instances in the class described by a symbolic string
( ! [V__NUMBER] :
   ((s__instance(V__NUMBER,s__RealNumber) =>
       ((s__MeasureFn(V__NUMBER,s__OunceMass) = s__MeasureFn(s__DivisionFn(V__NUMBER,n__16)
        ,s__PoundMass))))))

Mid-level-ontology.kif 12665-12668 For all a real number the real number Ounce(s) is equal to the real number and 16 pound mass(s)
( ! [V__NUMBER] :
   ((s__instance(V__NUMBER,s__Integer) =>
       ((s__PredecessorFn(V__NUMBER)
         = s__SubtractionFn(V__NUMBER,n__1))))))

Merge.kif 4598-4599 For all an integer (the integer+2) is equal to (the integer and 1)
( ! [V__NUMBER] :
   ((s__instance(V__NUMBER,s__Integer) =>
       ((s__SuccessorFn(V__NUMBER)
         = s__AdditionFn(V__NUMBER,n__1))))))

Merge.kif 4582-4583 For all an integer (the integer+1) is equal to (the integer and 1)
( ! [V__ROW2, V__ROW3, V__ITEM] :
   ((s__ListLengthFn(s__ListFn__3Fn(V__ROW2,V__ROW3,V__ITEM))
   = s__SuccessorFn(s__ListLengthFn(s__ListFn__2Fn(V__ROW2,V__ROW3))))))

( ! [V__ROW2, V__ITEM] :
   ((s__ListLengthFn(s__ListFn__2Fn(V__ROW2,V__ITEM))
   = s__SuccessorFn(s__ListLengthFn(s__ListFn__1Fn(V__ROW2))))))

( ! [V__ROW2, V__ROW3, V__ROW4, V__ROW5, V__ITEM] :
   ((s__ListLengthFn(s__ListFn__5Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ITEM))
   = s__SuccessorFn(s__ListLengthFn(s__ListFn__4Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5))))))

( ! [V__ROW2, V__ROW3, V__ROW4, V__ITEM] :
   ((s__ListLengthFn(s__ListFn__4Fn(V__ROW2,V__ROW3,V__ROW4,V__ITEM))
   = s__SuccessorFn(s__ListLengthFn(s__ListFn__3Fn(V__ROW2,V__ROW3,V__ROW4))))))

( ! [V__ROW2, V__ROW3, V__ROW4, V__ROW5, V__ROW6, V__ITEM] :
   ((s__ListLengthFn(s__ListFn__6Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6,V__ITEM))
   = s__SuccessorFn(s__ListLengthFn(s__ListFn__5Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6))))))

Merge.kif 2966-2969 For all @ROW and another entity length of (@ROW and the other entity) is equal to (length of (@ROW)+1)
( ! [V__ROW2, V__ITEM] :
   ((s__ListOrderFn(s__ListFn__2Fn(V__ROW2,V__ITEM)
    ,s__ListLengthFn(s__ListFn__2Fn(V__ROW2,V__ITEM)))
= V__ITEM)))

( ! [V__ROW2, V__ROW3, V__ROW4, V__ROW5, V__ITEM] :
   ((s__ListOrderFn(s__ListFn__5Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ITEM)
    ,s__ListLengthFn(s__ListFn__5Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ITEM)))
= V__ITEM)))

( ! [V__ROW2, V__ROW3, V__ROW4, V__ITEM] :
   ((s__ListOrderFn(s__ListFn__4Fn(V__ROW2,V__ROW3,V__ROW4,V__ITEM)
    ,s__ListLengthFn(s__ListFn__4Fn(V__ROW2,V__ROW3,V__ROW4,V__ITEM)))
= V__ITEM)))

( ! [V__ROW2, V__ROW3, V__ITEM] :
   ((s__ListOrderFn(s__ListFn__3Fn(V__ROW2,V__ROW3,V__ITEM)
    ,s__ListLengthFn(s__ListFn__3Fn(V__ROW2,V__ROW3,V__ITEM)))
= V__ITEM)))

( ! [V__ROW2, V__ROW3, V__ROW4, V__ROW5, V__ROW6, V__ITEM] :
   ((s__ListOrderFn(s__ListFn__6Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6,V__ITEM)
    ,s__ListLengthFn(s__ListFn__6Fn(V__ROW2,V__ROW3,V__ROW4,V__ROW5,V__ROW6,V__ITEM)))
= V__ITEM)))

Merge.kif 2971-2975 For all @ROW and another entity length of (@ROW and the other entity)th element of (@ROW and the other entity) is equal to the other entity
~((s__BigSix = s__GroupOf6))

Government.kif 2891-2891 Big six is not equal to group of6

appearance as argument number 0
-------------------------


( ! [V__X] :
   (((s__instance(V__X,s__RealNumber) &
         s__instance(V__X,s__PlaneAngleMeasure))
       =>
       ((s__ArcCosineFn(s__CosineFn(V__X))
       = V__X)))
)
)

Merge.kif 5066-5066 The arccosine of the cosine of a real number is equal to the real number
( ! [V__X] :
   (((s__instance(V__X,s__RealNumber) &
         s__instance(V__X,s__PlaneAngleMeasure))
       =>
       ((s__ArcSineFn(s__SineFn(V__X))
       = V__X)))
)
)

Merge.kif 5076-5076 The arcsine of the sine of a real number is equal to the real number
( ! [V__X] :
   (((s__instance(V__X,s__RealNumber) &
         s__instance(V__X,s__PlaneAngleMeasure))
       =>
       ((s__ArcTangentFn(s__TangentFn(V__X))
       = V__X)))
)
)

Merge.kif 5056-5056 The arctan of the tangent of a real number is equal to the real number
No TPTP formula. May not be expressible in strict first order. Military.kif 867-876 The available for military service male of a geopolitical area is equal to the number of instances in the class described by a symbolic string
(s__BeginFn(s__BeforeCommonEra) = s__NegativeInfinity)

Mid-level-ontology.kif 7534-7534 The beginning of before common era is equal to negative infinity
(s__CardinalityFn(s__Continent) = n__7)

Merge.kif 13556-13556 The number of instances in continent is equal to 7
(s__CardinalityFn(s__NativityMagi) = n__3)

Media.kif 2005-2005 The number of instances in NativityMagi is equal to 3
No TPTP formula. May not be expressible in strict first order. People.kif 466-476 The children born per woman of a geopolitical area and the year an integer is equal to the number of instances in the class described by a symbolic string
(s__EndFn(s__CommonEra) = s__PositiveInfinity)

Mid-level-ontology.kif 7542-7542 The end of common era is equal to positive infinity
No TPTP formula. May not be expressible in strict first order. Military.kif 890-901 The fit for military service male of a geopolitical area is equal to the number of instances in the class described by a symbolic string
(s__MeasureFn(n__0_0,s__AngularDegree) = s__MeasureFn(n__360_0,s__AngularDegree))

Merge.kif 7165-7165 0.0 Angular degree(s) is equal to 360.0 angular degree(s)
(s__MeasureFn(n__1,s__AngularDegree) = s__MeasureFn(n__60,s__ArcMinute))

Geography.kif 382-382 1 Angular degree(s) is equal to 60 arc minute(s)
(s__MeasureFn(n__1,s__ArcMinute) = s__MeasureFn(n__60,s__ArcSecond))

Geography.kif 401-401 1 Arc minute(s) is equal to 60 arc second(s)
(s__MeasureFn(n__1,s__CubicFoot) = s__MultiplicationFn(s__MeasureFn(n__1,s__FootLength),s__MultiplicationFn(s__MeasureFn(n__1,s__FootLength),s__MeasureFn(n__1,s__FootLength))))

Mid-level-ontology.kif 12966-12972 1 Cubic foot(s) is equal to 1 foot length(s) and 1 foot length(s) and 1 foot length(s)
(s__MeasureFn(n__1,s__Fathom) = s__MeasureFn(n__6,s__FootLength))

Geography.kif 3720-3720 1 Fathom(s) is equal to 6 foot length(s)
(s__MeasureFn(n__1,s__KilowattHour) = s__MeasureFn(n__3_6,s__MegaFn(s__Joule)))

Economy.kif 2012-2012 1 Kilowatt hour(s) is equal to 3.6 1 million joules(s)
(s__MeasureFn(n__1,s__KilowattHour) = s__MeasureFn(n__3600000,s__Joule))

Economy.kif 2013-2013 1 Kilowatt hour(s) is equal to 3600000 joule(s)
(s__MeasureFn(n__1,s__MetricTon) = s__MeasureFn(n__2205,s__PoundMass))

Mid-level-ontology.kif 12938-12940 1 Metric ton(s) is equal to 2205 pound mass(s)
(s__MeasureFn(n__1,s__NauticalMile) = s__MeasureFn(n__1852,s__Meter))

Geography.kif 3740-3740 1 Nautical mile(s) is equal to 1852 meter(s)
(s__MeasureFn(n__1,s__NauticalMile) = s__MeasureFn(n__6076_1,s__FootLength))

Geography.kif 3739-3739 1 Nautical mile(s) is equal to 6076.1 foot length(s)
(s__MeasureFn(n__1,s__SquareKilometer) = s__MultiplicationFn(s__MeasureFn(n__1,s__KiloFn(s__Meter))
,s__MeasureFn(n__1,s__KiloFn(s__Meter))))

Geography.kif 624-625 1 Square kilometer(s) is equal to 1 1 thousand meters(s) and 1 1 thousand meters(s)
(s__MeasureFn(n__1,s__SquareMeter) = s__MultiplicationFn(s__MeasureFn(n__1,s__Meter),s__MeasureFn(n__1,s__Meter)))

Geography.kif 3792-3793 1 Square meter(s) is equal to 1 meter(s) and 1 meter(s)
(s__MeasureFn(n__1,s__SquareMile) = s__PerFn(s__MeasureFn(n__1,s__Mile),s__MeasureFn(n__1,s__Mile)))

Mid-level-ontology.kif 13022-13026 1 Square mile(s) is equal to the per of 1 mile(s) and 1 mile(s)
(s__MeasureFn(n__1,s__SquareYard) = s__PerFn(s__MeasureFn(n__1,s__YardLength),s__MeasureFn(n__1,s__YardLength)))

Mid-level-ontology.kif 13032-13036 1 Square yard(s) is equal to the per of 1 yard length(s) and 1 yard length(s)
( ! [V__DEG] :
   ((s__instance(V__DEG,s__RealNumber) =>
       ((s__MeasureFn(V__DEG,s__ArcMinute) = s__MeasureFn(s__MultiplicationFn(n__60,V__DEG)
        ,s__ArcSecond))))
   )
)

Geography.kif 402-402 A real number arc minute(s) is equal to 60 and the real number arc second(s)

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