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Sigma KEE - lessThanOrEqualTo
lessThanOrEqualTo

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


(documentation lessThanOrEqualTo ChineseLanguage "(lessThanOrEqualTo ?NUMBER1 ?NUMBER2) 是真的以防 ?NUMBER1 的 Quantity 少于或者等于 ?NUMBER2 的 Quantity。") chinese_format.kif 1733-1734
(documentation lessThanOrEqualTo EnglishLanguage "(lessThanOrEqualTo ?NUMBER1 ?NUMBER2) is true just in case the Quantity ?NUMBER1 is less than or equal to the Quantity ?NUMBER2.") Merge.kif 1781-1783
(domain lessThanOrEqualTo 1 RealNumber) Merge.kif 1778-1778 The number 1 argument of less than or equal to is an instance of real number
(domain lessThanOrEqualTo 2 RealNumber) Merge.kif 1779-1779 The number 2 argument of less than or equal to is an instance of real number
(instance lessThanOrEqualTo BinaryPredicate) Merge.kif 1774-1774 less than or equal to is an instance of binary predicate
(instance lessThanOrEqualTo PartialOrderingRelation) Merge.kif 1775-1775 less than or equal to is an instance of partial ordering relation
(instance lessThanOrEqualTo RelationExtendedToQuantities) Merge.kif 1776-1776 less than or equal to is an instance of relation extended to quantities
(trichotomizingOn lessThanOrEqualTo RealNumber) Merge.kif 1777-1777 less than or equal to is trichotomizing on real number

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


(format ChineseLanguage lessThanOrEqualTo "%1 %n 是 lessThanOrEqualTo %2") chinese_format.kif 143-143
(format EnglishLanguage lessThanOrEqualTo "%1 is %n less than or equal to %2") english_format.kif 144-144
(inverse greaterThanOrEqualTo lessThanOrEqualTo) Merge.kif 1797-1797 greater than or equal to is an inverse of less than or equal to
(termFormat ChineseLanguage lessThanOrEqualTo "小于或等于") domainEnglishFormat.kif 34134-34134
(termFormat ChineseLanguage lessThanOrEqualTo "少于或等于") chinese_format.kif 144-144
(termFormat ChineseTraditionalLanguage lessThanOrEqualTo "小於或等於") domainEnglishFormat.kif 34133-34133
(termFormat EnglishLanguage lessThanOrEqualTo "less than or equal to") domainEnglishFormat.kif 34132-34132

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


(<=>
    (lessThanOrEqualTo ?NUMBER1 ?NUMBER2)
    (or
        (equal ?NUMBER1 ?NUMBER2)
        (lessThan ?NUMBER1 ?NUMBER2)))		 Merge.kif 1785-1789 A real number is less than or equal to another real number if and only if the real number is equal to the other real number or the real number is less than the other real number
(=>
    (and
        (attribute ?Order LimitOrder)
        (partyToAgreement ?Order ?Broker)
        (attribute ?Broker Broker)
        (orderFor ?Order Buying ?Object)
        (measure ?Object ?Quantity)
        (limitPrice ?Order
            (MeasureFn ?LimitPrice ?U))
        (instance ?U UnitOfCurrency)
        (askPrice ?Object
            (MeasureFn ?Price ?U) ?Time)
        (lessThanOrEqualTo ?Price ?LimitPrice))
    (holdsObligation
        (KappaFn ?Buy
            (and
                (instance ?Buy Buying)
                (patient ?Buy ?Object)
                (measure ?Object ?Quantity)
                (equal
                    (WhenFn ?Buy) ?BuyingTime)
                (overlapsTemporally ?Time ?BuyingTime))) ?Broker))		 FinancialOntology.kif 1979-2000
(=>
    (and
        (commemoratesDate ?HOLIDAY
            (DayFn ?DAY
                (MonthFn ?MONTH
                    (YearFn ?YEAR))))
        (instance ?DATE ?HOLIDAY)
        (subclass ?HOLIDAY FixedHoliday)
        (lessThanOrEqualTo ?YEAR ?LATER-YEAR))
    (instance ?DATE
        (DayFn ?DAY
            (MonthFn ?MONTH
                (YearFn ?LATER-YEAR)))))		 Government.kif 606-612
(=>
    (and
        (instance ?AREA
            (MaritimeClaimsTerritorialSeaFn ?PLACE))
        (width ?AREA
            (MeasureFn ?WIDTH ?UNIT))
        (distance ?OBJ ?PLACE
            (MeasureFn ?DISTANCE ?UNIT))
        (lessThanOrEqualTo ?DISTANCE ?WIDTH))
    (located ?OBJ ?AREA))		 Geography.kif 873-879
(=>
    (and
        (instance ?GUN Gun)
        (instance ?U UnitOfLength)
        (effectiveRange ?GUN
            (MeasureFn ?LM ?U))
        (distance ?GUN ?O
            (MeasureFn ?LM1 ?U))
        (instance ?O Organism)
        (not
            (exists (?O2)
                (between ?O ?O2 ?GUN)))
        (lessThanOrEqualTo ?LM1 ?LM))
    (capability
        (KappaFn ?KILLING
            (and
                (instance ?KILLING Killing)
                (patient ?KILLING ?O))) instrument ?GUN))		 Mid-level-ontology.kif 1354-1372
(=>
    (and
        (instance ?GUN Gun)
        (instance ?U UnitOfLength)
        (effectiveRange ?GUN
            (MeasureFn ?LM ?U))
        (distance ?GUN ?O
            (MeasureFn ?LM1 ?U))
        (not
            (exists (?O2)
                (between ?O ?O2 ?GUN)))
        (lessThanOrEqualTo ?LM1 ?LM))
    (capability
        (KappaFn ?DAMAGING
            (and
                (instance ?DAMAGING Damaging)
                (patient ?DAMAGING ?O))) instrument ?GUN))		 Mid-level-ontology.kif 1333-1350
(=>
    (and
        (instance ?H Human)
        (holdsDuring ?T1
            (age ?H
                (MeasureFn ?N YearDuration)))
        (lessThanOrEqualTo ?N 1))
    (holdsDuring ?T1
        (instance ?H HumanBaby)))		 Mid-level-ontology.kif 367-372
(=>
    (and
        (instance ?H Human)
        (holdsDuring ?T1
            (age ?H
                (MeasureFn ?N YearDuration)))
        (lessThanOrEqualTo ?N 14))
    (holdsDuring ?T1
        (instance ?H HumanChild)))		 Mid-level-ontology.kif 294-299
(=>
    (and
        (instance ?ZEPHYR WindFlow)
        (instance ?PLACE Object)
        (partlyLocated ?ZEPHYR ?PLACE)
        (elevation ?ZEPHYR
            (MeasureFn ?X FootLength))
        (lessThanOrEqualTo ?X 500)
        (measure ?ZEPHYR
            (SpeedFn ?DIST ?TIME)))
    (surfaceWindSpeed ?PLACE
        (SpeedFn ?DIST ?TIME)))		 Weather.kif 148-157
(=>
    (and
        (maximumPayloadCapacity ?V
            (MeasureFn ?WEIGHT ?UNITWEIGHT))
        (maximumPayloadHeightWidth ?V
            (MeasureFn ?HEIGHT ?UNITHEIGHT)
            (MeasureFn ?WIDTH ?UNITWIDTH))
        (instance ?O SelfConnectedObject)
        (weight ?O
            (MeasureFn ?WEO ?WEOU))
        (width ?O
            (MeasureFn ?WO ?WOU))
        (height ?O
            (MeasureFn ?HO ?HOU))
        (equal ?WEOU ?UNITWEIGHT)
        (equal ?WOU ?UNITWIDTH)
        (equal ?HOU ?UNITHEIGHT)
        (lessThanOrEqualTo ?WEO ?WEIGHT)
        (lessThanOrEqualTo ?WO ?WIDTH)
        (lessThanOrEqualTo ?HO ?HEIGHT))
    (capability
        (KappaFn ?TRANSPORT
            (and
                (instance ?TRANSPORT Transportation)
                (patient ?TRANSPORT ?O))) instrument ?V))		 MilitaryDevices.kif 144-169
(=>
    (and
        (navigableForDraft ?WATERWAY
            (MeasureFn ?AMOUNT Meter))
        (ladenDraft ?SHIP
            (MeasureFn ?DRAFT Meter))
        (lessThanOrEqualTo ?AMOUNT ?DRAFT))
    (not
        (capability
            (TripFn ?SHIP) path ?WATERWAY)))		 Transportation.kif 2667-2672
(=>
    (and
        (navigableForShippingTonnage ?WATERWAY
            (MeasureFn ?TONNAGE LongTon))
        (instance ?VESSEL WaterVehicle)
        (vesselDisplacement ?VESSEL
            (MeasureFn ?DWT LongTon))
        (lessThanOrEqualTo ?DWT ?TONNAGE))
    (capability
        (TripFn ?VESSEL) path ?WATERWAY))		 Transportation.kif 2644-2650
(=>
    (and
        (orientation ?OBJ ?REGION Outside)
        (instance ?ZONE
            (PerimeterAreaFn ?REGION))
        (instance ?ZONE UniformPerimeterArea)
        (width ?ZONE
            (MeasureFn ?LIMIT ?UNIT))
        (distance ?OBJ ?REGION
            (MeasureFn ?FAR ?UNIT))
        (instance ?UNIT UnitOfMeasure)
        (lessThanOrEqualTo
            (SubtractionFn ?FAR ?LIMIT) 0))
    (located ?OBJ ?ZONE))		 Geography.kif 851-860

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


(<=>
    (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 2983-2999 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
(<=>
    (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 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
(=>
    (and
        (equal
            (MaximalWeightedPathFn ?NODE1 ?NODE2) ?PATH)
        (equal
            (PathWeightFn ?PATH) ?NUMBER1))
    (forall (?PATH2)
        (=>
            (and
                (instance ?PATH2
                    (GraphPathFn ?NODE1 ?NODE2))
                (equal
                    (PathWeightFn ?PATH2) ?NUMBER2))
            (lessThanOrEqualTo ?NUMBER2 ?NUMBER1))))		 Merge.kif 5784-5793
(=>
    (and
        (instance
            (LatitudeFn ?DIRECTION @ROW) Region)
        (equal
            (ListOrderFn
                (ListFn @ROW) 1)
            (MeasureFn ?NUM AngularDegree)))
    (lessThanOrEqualTo ?NUM 90))		 Geography.kif 427-431
(=>
    (and
        (instance
            (LongitudeFn ?DIRECTION @ROW) Region)
        (equal
            (ListOrderFn
                (ListFn @ROW) 1)
            (MeasureFn ?NUM AngularDegree)))
    (lessThanOrEqualTo ?NUM 180))		 Geography.kif 467-474
(=>
    (and
        (instance ?AIRPORT Airport)
        (attribute ?AIRPORT LongRunwayAirport))
    (exists (?RUNWAY ?LENGTH)
        (and
            (instance ?RUNWAY Runway)
            (part ?RUNWAY ?AIRPORT)
            (length ?RUNWAY
                (MeasureFn ?LENGTH Meter))
            (or
                (greaterThanOrEqualTo ?LENGTH 2438)
                (lessThanOrEqualTo ?LENGTH 3047)))))		 Transportation.kif 1445-1457
(=>
    (and
        (instance ?AIRPORT Airport)
        (attribute ?AIRPORT MediumLengthRunwayAirport))
    (exists (?RUNWAY ?LENGTH)
        (and
            (instance ?RUNWAY Runway)
            (part ?RUNWAY ?AIRPORT)
            (length ?RUNWAY
                (MeasureFn ?LENGTH Meter))
            (or
                (greaterThanOrEqualTo ?LENGTH 1524)
                (lessThanOrEqualTo ?LENGTH 2437)))))		 Transportation.kif 1426-1438
(=>
    (and
        (instance ?AIRPORT Airport)
        (attribute ?AIRPORT ShortRunwayAirport))
    (exists (?RUNWAY ?LENGTH)
        (and
            (instance ?RUNWAY Runway)
            (part ?RUNWAY ?AIRPORT)
            (length ?RUNWAY
                (MeasureFn ?LENGTH Meter))
            (or
                (greaterThanOrEqualTo ?LENGTH 914)
                (lessThanOrEqualTo ?LENGTH 1523)))))		 Transportation.kif 1407-1419
(=>
    (and
        (instance ?AREA GeographicArea)
        (instance ?WEATHER PartlyCloudyWeather)
        (eventLocated ?WEATHER ?AREA)
        (cloudCoverFraction ?AREA ?FRACTION))
    (and
        (greaterThanOrEqualTo ?FRACTION 0.3)
        (lessThanOrEqualTo ?FRACTION 0.7)))		 Weather.kif 917-925
(=>
    (and
        (instance ?AREA GeographicArea)
        (instance ?WEATHER PartlyCloudyWeather)
        (eventLocated ?WEATHER ?AREA))
    (exists (?FRACTION)
        (and
            (cloudCoverFraction ?AREA ?FRACTION)
            (greaterThanOrEqualTo ?FRACTION 0.3)
            (lessThanOrEqualTo ?FRACTION 0.7))))		 Weather.kif 906-915
(=>
    (and
        (instance ?CITY City)
        (part ?CITY France))
    (lessThanOrEqualTo
        (CardinalityFn
            (ResidentFn ?CITY))
        (CardinalityFn
            (ResidentFn Paris))))		 CountriesAndRegions.kif 59-65
(=>
    (and
        (instance ?ELECTION
            (ElectionFn ?POLITY))
        (instance ?ACT
            (VotingFn ?ELECTION))
        (agent ?ACT ?AGENT)
        (suffrageAgeMaximum ?POLITY
            (MeasureFn ?VOTINGAGE YearDuration))
        (age ?AGENT
            (MeasureFn ?AGE YearDuration)))
    (lessThanOrEqualTo ?AGE ?VOTINGAGE))		 Government.kif 1061-1070
(=>
    (and
        (instance ?ELECTION
            (ElectionFn ?POLITY))
        (instance ?ACT
            (VotingFn ?ELECTION))
        (agent ?ACT ?AGENT)
        (suffrageAgeMaximum ?POLITY
            (MeasureFn ?VOTINGAGE YearDuration)))
    (exists (?AGE)
        (and
            (age ?AGENT
                (MeasureFn ?AGE YearDuration))
            (lessThanOrEqualTo ?AGE ?VOTINGAGE))))		 Government.kif 1048-1059
(=>
    (and
        (instance ?H Hurricane)
        (instance ?SS SSHWSAttribute)
        (eventLocated ?H ?AREA)
        (believes ?A
            (property ?H ?SS))
        (speedScaleAttributeMinMax ?SS
            (MeasureFn ?MIN ?U)
            (MeasureFn ?MAX ?U))
        (instance ?U UnitOfMeasure))
    (exists (?WIND)
        (and
            (greaterThanOrEqualTo ?WIND ?MIN)
            (lessThanOrEqualTo ?WIND ?MAX)
            (believes ?A
                (equal
                    (MeasureFn ?WIND ?U)
                    (Mean1MinuteWindSpeedFn ?AREA
                        (WhenFn ?H)))))))		 Weather.kif 2360-2379
(=>
    (and
        (instance ?ICE Ice)
        (measure ?ICE
            (MeasureFn ?NUMBER CelsiusDegree)))
    (lessThanOrEqualTo ?NUMBER 0))		 Mid-level-ontology.kif 8562-8566
(=>
    (and
        (instance ?RR Railway)
        (property ?RR NarrowGauge)
        (trackWidth ?RR
            (MeasureFn ?WIDTH Meter)))
    (lessThanOrEqualTo ?WIDTH 1.435))		 Transportation.kif 453-458
(=>
    (and
        (instance ?RR Railway)
        (property ?RR StandardGauge)
        (trackWidth ?RR
            (MeasureFn ?WIDTH Meter)))
    (lessThanOrEqualTo ?WIDTH 1.44))		 Transportation.kif 435-441
(=>
    (and
        (instance ?T Tornado)
        (instance ?EF EFScaleAttribute)
        (eventLocated ?T ?AREA)
        (believes ?A
            (property ?T ?EF))
        (speedScaleAttributeMinMax ?EF
            (MeasureFn ?MIN MilesPerHour)
            (MeasureFn ?MAX MilesPerHour)))
    (exists (?GUST)
        (and
            (greaterThanOrEqualTo ?GUST ?MIN)
            (lessThanOrEqualTo ?GUST ?MAX)
            (believes ?A
                (equal
                    (MeasureFn ?GUST MilesPerHour)
                    (ThreeSecondGustSpeedFn ?AREA
                        (WhenFn ?T)))))))		 Weather.kif 2091-2109
(=>
    (and
        (instance ?W Wind)
        (instance ?BN BeaufortNumberAttribute)
        (eventLocated ?W ?AREA)
        (believes ?A
            (property ?W ?BN))
        (speedScaleAttributeMinMax ?BN
            (MeasureFn ?MIN ?U)
            (MeasureFn ?MAX ?U))
        (instance ?U UnitOfMeasure))
    (exists (?SPEED)
        (and
            (greaterThanOrEqualTo ?SPEED ?MIN)
            (lessThanOrEqualTo ?SPEED ?MAX)
            (believes ?A
                (surfaceWindSpeed ?AREA
                    (MeasureFn ?SPEED ?U))))))		 Weather.kif 349-366
(=>
    (and
        (instance ?ZONE ExclusiveFishingZone)
        (linearExtent ?ZONE
            (MeasureFn ?WIDTH NauticalMile)))
    (lessThanOrEqualTo ?WIDTH 200))		 Geography.kif 1140-1145
(=>
    (and
        (instance ?ZONE ExtendedFishingZone)
        (linearExtent ?ZONE
            (MeasureFn ?WIDTH NauticalMile)))
    (lessThanOrEqualTo ?WIDTH 200))		 Geography.kif 1172-1177
(=>
    (and
        (instance ?ZONE MaritimeExclusiveEconomicZone)
        (linearExtent ?ZONE
            (MeasureFn ?WIDTH NauticalMile)))
    (lessThanOrEqualTo ?WIDTH 200))		 Geography.kif 1108-1113
(=>
    (and
        (instance ?ZONE MaritimeShelfArea)
        (linearExtent ?ZONE
            (MeasureFn ?WIDTH NauticalMile)))
    (lessThanOrEqualTo ?WIDTH 200))		 Geography.kif 1067-1072
(=>
    (and
        (instance ?ZONE TerritorialSea)
        (linearExtent ?ZONE
            (MeasureFn ?WIDTH NauticalMile)))
    (lessThanOrEqualTo ?WIDTH 12))		 Geography.kif 1213-1218
(=>
    (and
        (lengthOfCrudeOilPipeline ?AREA
            (MeasureFn ?AMOUNT1 Meter))
        (totalPipelineInArea ?AREA
            (MeasureFn ?AMOUNT2 Meter)))
    (lessThanOrEqualTo ?AMOUNT1 ?AMOUNT2))		 Transportation.kif 721-725

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