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Sigma KEE - AdditionFn
AdditionFn

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


(documentation AdditionFn ChineseLanguage "如果 ?NUMBER1 和 ?NUMBER2 是 Number,那么 (AdditionFn ?NUMBER1 ?NUMBER2)就是这些数字的算术和。") Merge.kif 6983-6984
(documentation AdditionFn EnglishLanguage "If ?NUMBER1 and ?NUMBER2 are Numbers, then (AdditionFn ?NUMBER1 ?NUMBER2) is the arithmetical sum of these numbers.") Merge.kif 6979-6981
(documentation AdditionFn JapaneseLanguage "?NUMBER1 と ?NUMBER2 が Number の場合、 (AdditionFn ?NUMBER1 ?NUMBER2) はこれらの数値の算術合計である。") Merge.kif 6986-6987
(domain AdditionFn 1 Quantity) Merge.kif 6975-6975 The number 1 argument of addition is an instance of quantity
(domain AdditionFn 2 Quantity) Merge.kif 6976-6976 The number 2 argument of addition is an instance of quantity
(identityElement AdditionFn 0) Merge.kif 7662-7662 0 is an identity element of addition
(instance AdditionFn AssociativeFunction) Merge.kif 6971-6971 Addition is an instance of associative function
(instance AdditionFn BinaryFunction) Merge.kif 6970-6970 Addition is an instance of binary function
(instance AdditionFn CommutativeFunction) Merge.kif 6972-6972 Addition is an instance of commutative function
(instance AdditionFn TotalValuedRelation) Merge.kif 6974-6974 Addition is an instance of total valued relation
(range AdditionFn Quantity) Merge.kif 6977-6977 The range of addition is an instance of quantity

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


(format ChineseLanguage AdditionFn "(%*[+])") chinese_format.kif 682-682
(format EnglishLanguage AdditionFn "(%*[+])") english_format.kif 943-943
(format JapaneseLanguage AdditionFn "(%*[+])") english_format.kif 944-944
(termFormat ChineseLanguage AdditionFn "加成") domainEnglishFormat.kif 5423-5423 "加成" is the printable form of addition in ChineseLanguage
(termFormat ChineseLanguage AdditionFn "加法函数") chinese_format.kif 683-683 "加法函数" is the printable form of addition in ChineseLanguage
(termFormat ChineseTraditionalLanguage AdditionFn "加成") domainEnglishFormat.kif 5422-5422 "加成" is the printable form of addition in ChineseTraditionalLanguage
(termFormat EnglishLanguage AdditionFn "addition") domainEnglishFormat.kif 5421-5421 "addition" is the printable form of addition in english language

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


(=>
    (and
        (instance ?Account CreditAccount)
        (accountHolder ?Account ?Agent)
        (principalAmount ?Account ?Principal)
        (agreementPeriod ?Account ?Period)
        (interestEarned ?Account ?Interest ?Period)
        (equal ?Total
            (AdditionFn ?Principal ?Interest)))
    (holdsObligation
        (KappaFn ?Payment
            (transactionAmount ?Payment ?Total)) ?Agent))
FinancialOntology.kif 1166-1175
(=>
    (and
        (instance ?Account Loan)
        (borrower ?Account ?Agent)
        (principalAmount ?Account ?Principal)
        (agreementPeriod ?Account ?Period)
        (interestEarned ?Account ?Interest ?Period)
        (equal ?Total
            (AdditionFn ?Principal ?Interest)))
    (holdsObligation
        (KappaFn ?Payment
            (transactionAmount ?Payment ?Total)) ?Agent))
FinancialOntology.kif 1215-1224
(=>
    (and
        (instance ?Bond ZeroCouponBond)
        (maturityDate
            (AccountFn ?Bond) ?Date)
        (possesses ?BondHolder ?Bond)
        (principalAmount
            (AccountFn ?Bond) ?Principal)
        (agreementPeriod
            (AccountFn ?Bond) ?Period)
        (interestEarned
            (AccountFn ?Bond) ?Interest ?Period)
        (equal ?Total
            (AdditionFn ?Principal ?Interest)))
    (exists (?Payment)
        (and
            (instance ?Payment Payment)
            (destination ?Payment ?BondHolder)
            (origin ?Payment
                (CurrencyFn ?BondAccount))
            (transactionAmount ?Payment ?Total))))
FinancialOntology.kif 2264-2278
(=>
    (and
        (instance ?Deposit Deposit)
        (time ?Deposit ?TimeOfDeposit)
        (instance ?Account FinancialAccount)
        (destination ?Deposit
            (CurrencyFn ?Account))
        (transactionAmount ?Deposit ?Amount)
        (currentAccountBalance ?Account
            (ImmediatePastFn
                (WhenFn ?Deposit)) ?Balance1)
        (equal ?Balance2
            (AdditionFn ?Balance1 ?Amount)))
    (currentAccountBalance ?Account
        (ImmediateFutureFn
            (FutureFn ?Deposit)) ?Balance2))
FinancialOntology.kif 428-437
(=>
    (and
        (principalAmount ?Account ?Balance)
        (fixedInterestRate ?Account ?Rate)
        (compoundInterest ?Account ?Interest ?Period)
        (equal ?Rate-Decimal
            (DivisionFn ?Rate 100))
        (equal ?Add
            (AdditionFn 1 ?Rate-Decimal))
        (equal ?Exponent
            (ExponentiationFn ?Add
                (MagnitudeFn ?Period)))
        (equal ?Multiply
            (MultiplicationFn ?Exponent ?Balance)))
    (equal ?Interest
        (SubtractionFn ?Multiply ?Balance)))
FinancialOntology.kif 532-541

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


(<=>
    (average ?LIST1 ?AVERAGE)
    (exists (?LIST2)
        (and
            (equal
                (ListLengthFn ?LIST2)
                (ListLengthFn ?LIST1))
            (equal
                (ListOrderFn ?LIST2 1)
                (ListOrderFn ?LIST1 1))
            (forall (?ITEMFROM2)
                (=>
                    (inList ?ITEMFROM2 ?LIST2)
                    (exists (?POSITION ?POSITIONMINUSONE ?ITEMFROM1 ?PRIORFROM2)
                        (and
                            (greaterThan ?POSITION 1)
                            (lessThanOrEqualTo ?POSITION
                                (ListLengthFn ?LIST2))
                            (equal
                                (ListOrderFn ?LIST2 ?ITEMFROM2) ?POSITION)
                            (inList ?ITEMFROM1 ?LIST1)
                            (equal ?POSITION
                                (ListOrderFn ?LIST1 ?ITEMFROM1))
                            (inList ?PRIORFROM2 ?LIST2)
                            (equal ?POSITIONMINUSONE
                                (SubtractionFn ?POSITION 1))
                            (equal ?POSITIONMINUSONE
                                (ListOrderFn ?LIST2 ?PRIORFROM2))
                            (equal ?ITEMFROM2
                                (AdditionFn ?ITEMFROM1 ?PRIORFROM2))))))
            (equal ?LASTPLACE
                (ListLengthFn ?LIST2))
            (equal ?AVERAGE
                (DivisionFn
                    (ListOrderFn ?LIST2 ?LASTPLACE) ?LASTPLACE)))))
People.kif 285-306 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
(<=>
    (equal
        (RemainderFn ?NUMBER1 ?NUMBER2) ?NUMBER)
    (equal
        (AdditionFn
            (MultiplicationFn
                (FloorFn
                    (DivisionFn ?NUMBER1 ?NUMBER2)) ?NUMBER2) ?NUMBER) ?NUMBER1))
Merge.kif 7505-7507 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
(=>
    (and
        (courseWRTMagneticNorth ?OBJ1 ?OBJ2 ?MAGDEGREE)
        (partlyLocated ?OBJ1 ?AREA)
        (partlyLocated ?OBJ2 ?AREA)
        (magneticVariation ?AREA ?DEGREE ?DIRECTION))
    (exists (?DIFFDEGREE ?TRUEDEGREE)
        (and
            (=>
                (and
                    (equal ?DIRECTION East)
                    (equal ?DIFFDEGREE
                        (AdditionFn ?MAGDEGREE ?DEGREE)))
                (courseWRTTrueNorth ?OBJ1 ?OBJ2 ?TRUEDEGREE))
            (=>
                (and
                    (equal ?DIRECTION West)
                    (equal ?DIFFDEGREE
                        (SubtractionFn ?MAGDEGREE ?DEGREE)))
                (courseWRTTrueNorth ?OBJ1 ?OBJ2 ?TRUEDEGREE)))))
Geography.kif 3619-3636
(=>
    (and
        (equal
            (PathWeightFn ?PATH) ?SUM)
        (graphPart ?ARC1 ?PATH)
        (graphPart ?ARC2 ?PATH)
        (arcWeight ?ARC1 ?NUMBER1)
        (arcWeight ?ARC2 ?NUMBER2)
        (forall (?ARC3)
            (=>
                (graphPart ?ARC3 ?PATH)
                (or
                    (equal ?ARC3 ?ARC1)
                    (equal ?ARC3 ?ARC2)))))
    (equal
        (PathWeightFn ?PATH)
        (AdditionFn ?NUMBER1 ?NUMBER2)))
Merge.kif 8607-8620
(=>
    (and
        (equal
            (PathWeightFn ?PATH) ?SUM)
        (subGraph ?SUBPATH ?PATH)
        (graphPart ?ARC1 ?PATH)
        (arcWeight ?ARC1 ?NUMBER1)
        (forall (?ARC2)
            (=>
                (graphPart ?ARC2 ?PATH)
                (or
                    (graphPart ?ARC2 ?SUBPATH)
                    (equal ?ARC2 ?ARC1)))))
    (equal ?SUM
        (AdditionFn
            (PathWeightFn ?SUBPATH) ?NUMBER1)))
Merge.kif 8593-8605
(=>
    (and
        (instance ?UNIT UnitOfArea)
        (landAreaOnly ?AREA
            (MeasureFn ?LAND ?UNIT))
        (waterAreaOnly ?AREA
            (MeasureFn ?WATER ?UNIT)))
    (totalArea ?AREA
        (MeasureFn
            (AdditionFn ?LAND ?WATER) ?UNIT)))
Geography.kif 559-564
(=>
    (and
        (totalLengthOfHighwaySystem ?AREA
            (MeasureFn ?LENGTH ?UNIT))
        (lengthOfPavedHighway ?AREA
            (MeasureFn ?LENGTH1 ?UNIT))
        (lengthOfUnpavedHighway ?AREA
            (MeasureFn ?LENGTH2 ?UNIT))
        (instance ?UNIT UnitOfLength))
    (totalLengthOfHighwaySystem ?AREA
        (MeasureFn
            (AdditionFn ?LENGTH1 ?LENGTH2) ?UNIT)))
Transportation.kif 504-511
(=>
    (and
        (totalLengthOfHighwaySystem ?AREA ?LENGTH)
        (lengthOfPavedHighway ?AREA ?LENGTH1)
        (lengthOfUnpavedHighway ?AREA ?LENGTH2))
    (equal ?LENGTH
        (AdditionFn ?LENGTH1 ?LENGTH2)))
Transportation.kif 497-502
(=>
    (conjugate ?COMPOUND1 ?COMPOUND2)
    (exists (?NUMBER1 ?NUMBER2)
        (and
            (protonNumber ?COMPOUND1 ?NUMBER1)
            (protonNumber ?COMPOUND2 ?NUMBER2)
            (or
                (equal ?NUMBER1
                    (AdditionFn ?NUMBER2 1))
                (equal ?NUMBER2
                    (AdditionFn ?NUMBER1 1))))))
Mid-level-ontology.kif 6190-6198
(=>
    (equal
        (RelativeTimeFn ?TIME1 CentralTimeZone) ?TIME2)
    (equal ?TIME2
        (AdditionFn ?TIME1
            (MeasureFn 6 HourDuration))))
Merge.kif 21926-21928
(=>
    (equal
        (RelativeTimeFn ?TIME1 EasternTimeZone) ?TIME2)
    (equal ?TIME2
        (AdditionFn ?TIME1
            (MeasureFn 5 HourDuration))))
Merge.kif 21935-21937
(=>
    (equal
        (RelativeTimeFn ?TIME1 MountainTimeZone) ?TIME2)
    (equal ?TIME2
        (AdditionFn ?TIME1
            (MeasureFn 7 HourDuration))))
Merge.kif 21917-21919
(=>
    (equal
        (RelativeTimeFn ?TIME1 PacificTimeZone) ?TIME2)
    (equal ?TIME2
        (AdditionFn ?TIME1
            (MeasureFn 8 HourDuration))))
Merge.kif 21908-21910

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


(forall (?NUMBER)
    (equal
        (SuccessorFn ?NUMBER)
        (AdditionFn ?NUMBER 1)))
Merge.kif 6989-6990 For all an integer (the integer+1) is equal to (the integer and 1)


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