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KB Term:  Term intersection
English Word: 

Sigma KEE - <=>
<=>

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


(=>
    (<=>
        (element ?ELEMENT ?SET1)
        (element ?ELEMENT ?SET2))
    (equal ?SET1 ?SET2))
Merge.kif 5132-5136

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


(=>
    (and
        (graphPart ?PATH ?GRAPH)
        (not
            (instance ?GRAPH DirectedGraph)))
    (<=>
        (instance ?PATH
            (GraphPathFn ?NODE1 ?NODE2))
        (instance ?PATH
            (GraphPathFn ?NODE2 ?NODE1))))
Merge.kif 5748-5754
(=>
    (and
        (instance ?ARGUMENT Argument)
        (equal ?PREMISES
            (PremisesFn ?ARGUMENT)))
    (<=>
        (subProposition ?PROPOSITION ?PREMISES)
        (premise ?ARGUMENT ?PROPOSITION)))
Merge.kif 15705-15711
(=>
    (and
        (instance ?PERSON Human)
        (equal
            (DescendantsFn ?PERSON) ?DESCENDANTS))
    (forall (?MEMBER)
        (<=>
            (member ?MEMBER ?DESCENDANTS)
            (ancestor ?MEMBER ?PERSON))))
Mid-level-ontology.kif 7157-7164
(=>
    (and
        (instance ?POINT1 TimePoint)
        (instance ?POINT2 TimePoint)
        (instance ?INTERVAL TimeInterval)
        (equal
            (TimeIntervalFn ?POINT1 ?POINT2) ?INTERVAL))
    (forall (?POINT)
        (<=>
            (temporallyBetweenOrEqual ?POINT1 ?POINT ?POINT2)
            (temporalPart ?POINT ?INTERVAL))))
Merge.kif 7889-7898
(=>
    (equal ?ATTR1 ?ATTR2)
    (forall (?THING)
        (<=>
            (property ?THING ?ATTR1)
            (property ?THING ?ATTR2))))
Merge.kif 265-270
(=>
    (equal ?CLASS1 ?CLASS2)
    (forall (?THING)
        (<=>
            (instance ?THING ?CLASS1)
            (instance ?THING ?CLASS2))))
Merge.kif 279-284
(=>
    (equal ?OBJ1
        (HoleSkinFn ?HOLE))
    (forall (?OBJ2)
        (<=>
            (overlapsSpatially ?OBJ2 ?OBJ1)
            (exists (?OBJ3)
                (and
                    (superficialPart ?OBJ3
                        (HoleHostFn ?HOLE))
                    (meetsSpatially ?HOLE ?OBJ3)
                    (overlapsSpatially ?OBJ2 ?OBJ3))))))
Merge.kif 9497-9506
(=>
    (equal ?OBJ3
        (MereologicalDifferenceFn ?OBJ1 ?OBJ2))
    (forall (?PART)
        (<=>
            (properPart ?PART ?OBJ3)
            (and
                (properPart ?PART ?OBJ1)
                (not
                    (properPart ?PART ?OBJ2))))))
Merge.kif 9244-9253
(=>
    (equal ?OBJ3
        (MereologicalProductFn ?OBJ1 ?OBJ2))
    (forall (?PART)
        (<=>
            (part ?PART ?OBJ3)
            (and
                (part ?PART ?OBJ1)
                (part ?PART ?OBJ2)))))
Merge.kif 9224-9231
(=>
    (equal ?OBJ3
        (MereologicalSumFn ?OBJ1 ?OBJ2))
    (forall (?PART)
        (<=>
            (part ?PART ?OBJ3)
            (or
                (part ?PART ?OBJ1)
                (part ?PART ?OBJ2)))))
Merge.kif 9203-9210
(=>
    (equal ?THING1 ?THING2)
    (forall (?ATTR)
        (<=>
            (property ?THING1 ?ATTR)
            (property ?THING2 ?ATTR))))
Merge.kif 258-263
(=>
    (equal ?THING1 ?THING2)
    (forall (?CLASS)
        (<=>
            (instance ?THING1 ?CLASS)
            (instance ?THING2 ?CLASS))))
Merge.kif 272-277

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


(<=>
    (and
        (accountHolder ?Account ?Agent)
        (instance ?Agent Corporation))
    (instance ?Account CorporateAccount))
FinancialOntology.kif 962-966 A cognitive agent holds account a financial account and the cognitive agent is an instance of corporation if and only if the financial account is an instance of corporate account
(<=>
    (and
        (accountHolder ?Account ?Agent)
        (instance ?Agent Human))
    (instance ?Account PersonalAccount))
FinancialOntology.kif 940-944 A cognitive agent holds account a financial account and the cognitive agent is an instance of human if and only if the financial account is an instance of personal account
(<=>
    (and
        (agreementPeriod ?Account ?Period)
        (finishes ?End ?Period))
    (maturityDate ?Account ?End))
FinancialOntology.kif 601-605 A time interval is an agreement period of a financial account and a day finishes the time interval if and only if the day is a maturity date of the financial account
(<=>
    (and
        (altitude ?AIRCRAFT ?OBJ2 ?QUANTITY)
        (surface ?OBJ2 PlanetEarth)
        (instance ?AIRCRAFT Aircraft))
    (absoluteHeight ?AIRCRAFT ?QUANTITY))
MilitaryDevices.kif 1462-1467 The altitude of an aircraft is a self connected object and the self connected object is a surface of planet earth and the aircraft is an instance of aircraft if and only if an altitude measure is the absolute height of the aircraft
(<=>
    (and
        (attribute ?INDIVIDUAL ?CH)
        (instance ?CH Christian))
    (member ?INDIVIDUAL Christianity))
People.kif 797-801 An attribute is an attribute of an object and the attribute is an instance of christian if and only if the object is a member of christianity
(<=>
    (and
        (equal
            (AbsoluteValueFn ?NUMBER1) ?NUMBER2)
        (instance ?NUMBER1 RealNumber)
        (instance ?NUMBER2 RealNumber))
    (or
        (and
            (instance ?NUMBER1 NonnegativeRealNumber)
            (equal ?NUMBER1 ?NUMBER2))
        (and
            (instance ?NUMBER1 NegativeRealNumber)
            (equal ?NUMBER2
                (SubtractionFn 0 ?NUMBER1)))))
Merge.kif 4578-4589 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 and the real number)
(<=>
    (and
        (equal ?LIST3
            (ListConcatenateFn ?LIST1 ?LIST2))
        (not
            (equal ?LIST1 NullList))
        (not
            (equal ?LIST2 NullList)))
    (forall (?NUMBER1 ?NUMBER2)
        (=>
            (and
                (lessThanOrEqualTo ?NUMBER1
                    (ListLengthFn ?LIST1))
                (lessThanOrEqualTo ?NUMBER2
                    (ListLengthFn ?LIST2))
                (instance ?NUMBER1 PositiveInteger)
                (instance ?NUMBER2 PositiveInteger))
            (and
                (equal
                    (ListOrderFn ?LIST3 ?NUMBER1)
                    (ListOrderFn ?LIST1 ?NUMBER1))
                (equal
                    (ListOrderFn ?LIST3
                        (AdditionFn
                            (ListLengthFn ?LIST1) ?NUMBER2))
                    (ListOrderFn ?LIST2 ?NUMBER2))))))
Merge.kif 2972-2988 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
(<=>
    (and
        (instance ?AGENT SentientAgent)
        (attribute ?AGENT Living))
    (exists (?ATTR)
        (and
            (instance ?ATTR ConsciousnessAttribute)
            (attribute ?AGENT ?ATTR))))
Merge.kif 16951-16958 An object is an instance of sentient agent and living is an attribute of the object if and only if there exists an attribute such that the attribute is an instance of consciousness attribute and the attribute is an attribute of the object
(<=>
    (and
        (instance ?Account FinancialAccount)
        (possesses ?Agent ?Asset)
        (equal ?Account
            (AccountFn ?Asset)))
    (accountHolder ?Account ?Agent))
FinancialOntology.kif 2251-2256 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
(<=>
    (and
        (instance ?Account PersonalAccount)
        (greaterThan
            (CardinalityFn
                (KappaFn ?Agent
                    (accountHolder ?Account ?Agent))) 1))
    (instance ?Account JointAccount))
FinancialOntology.kif 951-955 An entity is an instance of personal account and the number of instances in the class described by a symbolic string is greater than 1 if and only if the entity is an instance of joint account
(<=>
    (and
        (instance ?B BodyPart)
        (holdsDuring ?T
            (attribute ?B Bare)))
    (holdsDuring ?T
        (not
            (exists (?C)
                (and
                    (instance ?C Clothing)
                    (covers ?C ?B))))))
Mid-level-ontology.kif 28362-28372 An entity is an instance of body part and Bare is an attribute of the entity holds during a time position if and only if there doesn't exist another entity such that the other entity is an instance of clothing and the other entity covers the entity holds during the time position
(<=>
    (and
        (instance ?COMBINE Combining)
        (resource ?COMBINE ?OBJ1)
        (result ?COMBINE ?OBJ2))
    (and
        (holdsDuring
            (BeginFn
                (WhenFn ?COMBINE))
            (not
                (part ?OBJ1 ?OBJ2)))
        (holdsDuring
            (EndFn
                (WhenFn ?COMBINE))
            (part ?OBJ1 ?OBJ2))))
Merge.kif 11550-11557 A process is an instance of combining and an object is a resource for the process and an entity is a result of the process if and only if the object is not a part of the entity holds during the beginning of the time of existence of the process and the object is a part of the entity holds during the end of the time of existence of the process
(<=>
    (and
        (instance ?LD LiquidDrop)
        (approximateDiameter ?LD
            (MeasureFn ?S Micrometer))
        (lessThan 500 ?S))
    (instance ?LD Droplet))
Geography.kif 6890-6896 A self connected object is an instance of liquid drop and the approximate diameter of the self connected object is a real number micrometer(s) and 500 is less than the real number if and only if the self connected object is an instance of droplet
(<=>
    (and
        (instance ?PERSON Human)
        (forall (?ORG)
            (not
                (employs ?ORG ?PERSON))))
    (attribute ?PERSON Unemployed))
Merge.kif 16047-16053 A cognitive agent is an instance of human and for all an agent the agent doesn't employ the cognitive agent if and only if unemployed is an attribute of the cognitive agent
(<=>
    (and
        (instance ?PM ParticulateMatter)
        (part ?P ?PM)
        (approximateDiameter ?P
            (MeasureFn ?S Micrometer))
        (greaterThan 10 ?S)
        (greaterThan ?S 2.5))
    (exists (?PM10)
        (and
            (instance ?PM10 CoarseParticulateMatter)
            (part ?PM10 ?PM))))
Geography.kif 6806-6817 An object is an instance of PM and a self connected object is a part of the object and the approximate diameter of the self connected object is a real number micrometer(s) and 10 is greater than the real number and the real number is greater than 2.5 if and only if there exists the object10 such that the object10 is an instance of PM10 and the object10 is a part of the object
(<=>
    (and
        (instance ?PM ParticulateMatter)
        (part ?P ?PM)
        (approximateDiameter ?P
            (MeasureFn ?S Micrometer))
        (greaterThanOrEqualTo ?S 2.5))
    (exists (?PM25)
        (and
            (instance ?PM25 FineParticulateMatter)
            (part ?PM25 ?PM))))
Geography.kif 6835-6845 An object is an instance of PM and a self connected object is a part of the object and the approximate diameter of the self connected object is a real number micrometer(s) and the real number is greater than or equal to 2.5 if and only if there exists the object25 such that the object25 is an instance of PM2.5 and the object25 is a part of the object
(<=>
    (and
        (instance ?REL TotalValuedRelation)
        (instance ?REL Predicate))
    (exists (?VALENCE)
        (and
            (instance ?REL Relation)
            (valence ?REL ?VALENCE)
            (=>
                (forall (?NUMBER ?ELEMENT ?CLASS)
                    (=>
                        (and
                            (lessThan ?NUMBER ?VALENCE)
                            (domain ?REL ?NUMBER ?CLASS)
                            (equal ?ELEMENT
                                (ListOrderFn
                                    (ListFn @ROW) ?NUMBER)))
                        (instance ?ELEMENT ?CLASS)))
                (exists (?ITEM)
                    (?REL @ROW ?ITEM))))))
Merge.kif 2111-2128 A relation is an instance of total valued relation and the relation is an instance of predicate if and only if there exists a positive integer such that the relation is an instance of relation and the relation %&has the positive integer argument(s) and
(<=>
    (and
        (instance ?SCROLL WindowScrolling)
        (instance ?SCROLL UserSignifiedGraphicalAction))
    (instance ?SCROLL WindowScrollingByUser))
ComputerInput.kif 1804-1808 An entity is an instance of WindowScrolling and the entity is an instance of UserSignifiedGraphicalAction if and only if the entity is an instance of WindowScrollingByUser
(<=>
    (and
        (instance ?UNIT UnitOfMeasure)
        (equal ?AMOUNT
            (MeasureFn 1
                (SquareUnitFn ?UNIT))))
    (equal ?AMOUNT
        (MultiplicationFn
            (MeasureFn 1 ?UNIT)
            (MeasureFn 1 ?UNIT))))
Geography.kif 3761-3765 An unit of measure is an instance of unit of measure and a physical quantity is equal to 1 the square unit of the unit of measure(s) if and only if the physical quantity is equal to 1 the unit of measure(s) and 1 the unit of measure(s)
(<=>
    (and
        (instance ?Withdrawal Withdrawal)
        (instance ?Account FinancialAccount)
        (origin ?Withdrawal
            (CurrencyFn ?Account))
        (not
            (exists (?Penalty)
                (and
                    (instance ?Penalty Penalty)
                    (destination ?Penalty
                        (CurrencyFn ?Account))
                    (causes ?Withdrawal ?Penalty)))))
    (liquidity ?Account HighLiquidity))
FinancialOntology.kif 1754-1764 A process is an instance of withdrawal and a financial account is an instance of financial account and the process originates at the currency of the financial account and there doesn't exist another process such that the other process is an instance of penalty and the other process ends up at the currency of the financial account and the process causes the other process if and only if the liqudity of the financial account is high liquidity
(<=>
    (and
        (instance ?X Region)
        (holdsDuring ?T
            (property ?X StandardAmbientTemperaturePressure)))
    (holdsDuring ?T
        (and
            (airTemperature ?X
                (MeasureFn 298.15 KelvinDegree))
            (barometricPressure ?X
                (MeasureFn 29.530 InchMercury)))))
Weather.kif 1400-1410 An entity is an instance of region and the entity the attribute standard ambient temperature and pressure holds during a time position if and only if 298.15 kelvin degree(s) is an air temperature of the entity and 29.530 inch mercury(s) is a barometric pressure of the entity holds during the time position
(<=>
    (and
        (located ?PLACE ?AREA)
        (instance ?PLACE PostalPlace)
        (instance ?AREA PostcodeArea))
    (postPostcodeArea ?PLACE ?AREA))
Mid-level-ontology.kif 22622-22627 A PostalPlace is located at a PostcodeArea and the PostalPlace is an instance of PostalPlace and the PostcodeArea is an instance of PostcodeArea if and only if the PostalPlace is in post code the PostcodeArea
(<=>
    (and
        (located ?PLACE ?GEO)
        (instance ?PLACE PostalPlace)
        (instance ?GEO City))
    (postCity ?PLACE ?GEO))
Mid-level-ontology.kif 22595-22600 A PostalPlace is located at a city and the PostalPlace is an instance of PostalPlace and the city is an instance of city if and only if the PostalPlace is in the city
(<=>
    (and
        (located ?PLACE ?GEO)
        (instance ?PLACE PostalPlace)
        (instance ?GEO Neighborhood))
    (postNeighborhood ?PLACE ?GEO))
Mid-level-ontology.kif 22508-22513 A PostalPlace is located at a neighborhood and the PostalPlace is an instance of PostalPlace and the neighborhood is an instance of neighborhood if and only if the PostalPlace is in the neighborhood
(<=>
    (and
        (located ?PLACE ?GEO)
        (instance ?PLACE PostalPlace)
        (instance ?GEO StateOrProvince))
    (postDistrict ?PLACE ?GEO))
Mid-level-ontology.kif 22579-22584 A PostalPlace is located at a state or province and the PostalPlace is an instance of PostalPlace and the state or province is an instance of state or province if and only if the PostalPlace is in the state or province

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