Browsing Interface : Welcome guest : log in 		[  Home |  Graph |  LogLearn |  Editor |  ]  KB:  Language: 
  Formal Language: 

KB Term:  Term intersection
English Word: 

Sigma KEE - equal
equal

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


(=>
    (equal ?THING1 ?THING2)
    (forall (?ATTR)
        (<=>
            (property ?THING1 ?ATTR)
            (property ?THING2 ?ATTR))))		 Merge.kif 254-259
(=>
    (equal ?ATTR1 ?ATTR2)
    (forall (?THING)
        (<=>
            (property ?THING ?ATTR1)
            (property ?THING ?ATTR2))))		 Merge.kif 261-266
(=>
    (equal ?THING1 ?THING2)
    (forall (?CLASS)
        (<=>
            (instance ?THING1 ?CLASS)
            (instance ?THING2 ?CLASS))))		 Merge.kif 268-273
(=>
    (equal ?CLASS1 ?CLASS2)
    (forall (?THING)
        (<=>
            (instance ?THING ?CLASS1)
            (instance ?THING ?CLASS2))))		 Merge.kif 275-280
(=>
    (and
        (equal ?LIST1 ?LIST2)
        (equal ?LIST1
            (ListFn @ROW1))
        (equal ?LIST2
            (ListFn @ROW2)))
    (equal
        (ListOrderFn
            (ListFn @ROW1) ?NUMBER)
        (ListOrderFn
            (ListFn @ROW2) ?NUMBER)))		 Merge.kif 289-296
(=>
    (and
        (range ?FUNCTION ?CLASS)
        (equal
            (AssignmentFn ?FUNCTION @ROW) ?VALUE))
    (instance ?VALUE ?CLASS))		 Merge.kif 305-309
(=>
    (and
        (rangeSubclass ?FUNCTION ?CLASS)
        (equal
            (AssignmentFn ?FUNCTION @ROW) ?VALUE))
    (subclass ?VALUE ?CLASS))		 Merge.kif 331-335
(=>
    (and
        (contraryAttribute @ROW)
        (equal ?ATTR1
            (ListOrderFn
                (ListFn @ROW) ?NUMBER1))
        (equal ?ATTR2
            (ListOrderFn
                (ListFn @ROW) ?NUMBER2))
        (not
            (equal ?NUMBER1 ?NUMBER2))
        (property ?OBJ ?ATTR1))
    (not
        (property ?OBJ ?ATTR2)))		 Merge.kif 468-476
(=>
    (equal ?F
        (FrontFn ?O))
    (not
        (overlapsSpatially ?F
            (BackFn ?O))))		 Merge.kif 907-912
(=>
    (equal ?B
        (BackFn ?O))
    (not
        (overlapsSpatially ?B
            (FrontFn ?O))))		 Merge.kif 914-919
(=>
    (and
        (equal ?X
            (AttrFn ?CLASS ?ATTR))
        (instance ?I ?X))
    (and
        (instance ?I ?CLASS)
        (subclass ?X ?CLASS)
        (attribute ?I ?ATTR)))		 Merge.kif 1871-1879
(=>
    (and
        (increasesLikelihood ?FORMULA1 ?FORMULA2)
        (equal
            (ProbabilityFn ?FORMULA2) ?NUMBER1)
        (conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2))
    (greaterThan ?NUMBER2 ?NUMBER1))		 Merge.kif 2715-2720
(=>
    (and
        (decreasesLikelihood ?FORMULA1 ?FORMULA2)
        (equal
            (ProbabilityFn ?FORMULA2) ?NUMBER1)
        (conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2))
    (lessThan ?NUMBER2 ?NUMBER1))		 Merge.kif 2732-2737
(=>
    (and
        (independentProbability ?FORMULA1 ?FORMULA2)
        (equal
            (ProbabilityFn ?FORMULA2) ?NUMBER1)
        (conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2))
    (equal ?NUMBER2 ?NUMBER1))		 Merge.kif 2749-2754
(=>
    (and
        (equal ?LIST3
            (ListConcatenateFn ?LIST1 ?LIST2))
        (not
            (equal ?LIST1 NullList))
        (not
            (equal ?LIST2 NullList))
        (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 3194-3213
(=>
    (and
        (equal ?R
            (SubListFn ?S ?E ?L))
        (equal
            (SubtractionFn ?E ?S) 0))
    (equal ?R NullList))		 Merge.kif 3281-3288
(=>
    (and
        (equal ?R
            (SubListFn ?S ?E ?L))
        (equal
            (SubtractionFn ?E ?S) 1))
    (equal ?R
        (ListFn
            (ListOrderFn ?L ?S))))		 Merge.kif 3290-3299
(=>
    (and
        (equal ?R
            (SubListFn ?S ?E ?L))
        (greaterThan
            (SubtractionFn ?E ?S) 1))
    (equal ?R
        (ListConcatenateFn
            (ListFn
                (ListOrderFn ?L ?S))
            (SubListFn
                (AdditionFn 1 ?S) ?E ?L))))		 Merge.kif 3301-3313
(=>
    (equal
        (LastFn ?LIST) ?ITEM)
    (exists (?NUMBER)
        (and
            (equal
                (ListLengthFn ?LIST) ?NUMBER)
            (equal
                (ListOrderFn ?LIST ?NUMBER) ?ITEM))))		 Merge.kif 3323-3328
(=>
    (and
        (equal
            (ListLengthFn ?LIST) ?NUMBER)
        (equal
            (ListOrderFn ?LIST ?NUMBER) ?ITEM))
    (equal
        (LastFn ?LIST) ?ITEM))		 Merge.kif 3330-3334
(=>
    (and
        (instance ?LIST List)
        (not
            (equal ?LIST NullList)))
    (equal
        (FirstFn ?LIST)
        (ListOrderFn ?LIST 1)))		 Merge.kif 3343-3348
(=>
    (and
        (equal ?A
            (ListSumFn ?L))
        (equal 1
            (ListLengthFn ?L)))
    (equal ?A
        (ListOrderFn ?L 1)))		 Merge.kif 3363-3367
(=>
    (and
        (equal ?A
            (ListSumFn ?L))
        (greaterThan
            (ListLengthFn ?L) 1))
    (equal ?A
        (AdditionFn
            (FirstFn ?L)
            (ListSumFn
                (SubListFn 2
                    (ListLengthFn ?L) ?L)))))		 Merge.kif 3369-3379
(=>
    (and
        (equal ?A
            (AverageFn ?L))
        (greaterThan
            (ListLengthFn ?L) 0))
    (equal ?A
        (DivisionFn
            (ListSumFn ?L)
            (ListLengthFn ?L))))		 Merge.kif 3388-3395
(=>
    (and
        (equal ?A
            (AverageFn ?L))
        (inList ?N ?L))
    (instance ?N Number))		 Merge.kif 3397-3401

Display limited to 25 items. Show next 25

Display limited to 25 items. Show next 25

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


(=>
    (immediateInstance ?ENTITY ?CLASS)
    (not
        (exists (?SUBCLASS)
            (and
                (subclass ?SUBCLASS ?CLASS)
                (not
                    (equal ?SUBCLASS ?CLASS))
                (instance ?ENTITY ?SUBCLASS)))))		 Merge.kif 98-104
(=>
    (immediateSubclass ?CLASS1 ?CLASS2)
    (not
        (exists (?CLASS3)
            (and
                (subclass ?CLASS3 ?CLASS2)
                (subclass ?CLASS1 ?CLASS3)
                (not
                    (equal ?CLASS2 ?CLASS3))
                (not
                    (equal ?CLASS1 ?CLASS3))))))		 Merge.kif 154-161
(=>
    (and
        (equal ?LIST1 ?LIST2)
        (equal ?LIST1
            (ListFn @ROW1))
        (equal ?LIST2
            (ListFn @ROW2)))
    (equal
        (ListOrderFn
            (ListFn @ROW1) ?NUMBER)
        (ListOrderFn
            (ListFn @ROW2) ?NUMBER)))		 Merge.kif 289-296
(=>
    (exhaustiveAttribute ?CLASS @ROW)
    (forall (?ATTR1)
        (=>
            (instance ?ATTR1 ?CLASS)
            (exists (?ATTR2)
                (and
                    (inList ?ATTR2
                        (ListFn @ROW))
                    (equal ?ATTR1 ?ATTR2))))))		 Merge.kif 501-509
(=>
    (exhaustiveAttribute ?ATTRCLASS @ROW)
    (not
        (exists (?EL)
            (and
                (instance ?EL ?ATTRCLASS)
                (not
                    (exists (?ATTR ?NUMBER)
                        (and
                            (equal ?EL ?ATTR)
                            (equal ?ATTR
                                (ListOrderFn
                                    (ListFn @ROW) ?NUMBER)))))))))		 Merge.kif 511-523
(=>
    (greaterThanByQuality ?E1 ?E2 ?ATT)
    (not
        (equal ?E2 ?E1)))		 Merge.kif 756-759
(=>
    (instance ?ATOM Atom)
    (forall (?NUCLEUS1 ?NUCLEUS2)
        (=>
            (and
                (part ?NUCLEUS1 ?ATOM)
                (part ?NUCLEUS2 ?ATOM)
                (instance ?NUCLEUS1 AtomicNucleus)
                (instance ?NUCLEUS2 AtomicNucleus))
            (equal ?NUCLEUS1 ?NUCLEUS2))))		 Merge.kif 1195-1204
(=>
    (instance ?MIXTURE Mixture)
    (exists (?PURE1 ?PURE2)
        (and
            (instance ?PURE1 PureSubstance)
            (instance ?PURE2 PureSubstance)
            (not
                (equal ?PURE1 ?PURE2))
            (piece ?PURE1 ?MIXTURE)
            (piece ?PURE2 ?MIXTURE))))		 Merge.kif 1263-1271
(=>
    (instance ?OBJ CorpuscularObject)
    (exists (?SUBSTANCE1 ?SUBSTANCE2)
        (and
            (subclass ?SUBSTANCE1 Substance)
            (subclass ?SUBSTANCE2 Substance)
            (material ?SUBSTANCE1 ?OBJ)
            (material ?SUBSTANCE2 ?OBJ)
            (not
                (equal ?SUBSTANCE1 ?SUBSTANCE2)))))		 Merge.kif 1304-1312
(=>
    (instance ?PROCESS DualObjectProcess)
    (exists (?OBJ1 ?OBJ2)
        (and
            (patient ?PROCESS ?OBJ1)
            (patient ?PROCESS ?OBJ2)
            (not
                (equal ?OBJ1 ?OBJ2)))))		 Merge.kif 1731-1737
(=>
    (and
        (instance ?PROC SingleAgentProcess)
        (agent ?PROC ?AGENT1)
        (agent ?PROC ?AGENT2))
    (and
        (equal ?AGENT1 ?AGENT2)
        (not
            (exists (?AGENT3)
                (and
                    (agent ?PROC ?AGENT3)
                    (not
                        (equal ?AGENT3 ?AGENT1)))))))		 Merge.kif 1748-1760
(<=>
    (lessThanOrEqualTo ?NUMBER1 ?NUMBER2)
    (or
        (equal ?NUMBER1 ?NUMBER2)
        (lessThan ?NUMBER1 ?NUMBER2)))		 Merge.kif 1970-1974
(=>
    (instance ?NUM BinaryNumber)
    (or
        (equal ?NUM 1)
        (equal ?NUM 0)))		 Merge.kif 2112-2116
(=>
    (instance ?REL AntisymmetricRelation)
    (forall (?INST1 ?INST2)
        (=>
            (and
                (?REL ?INST1 ?INST2)
                (?REL ?INST2 ?INST1))
            (equal ?INST1 ?INST2))))		 Merge.kif 2411-2418
(=>
    (instance ?REL TrichotomizingRelation)
    (forall (?INST1 ?INST2)
        (or
            (and
                (?REL ?INST1 ?INST2)
                (not
                    (equal ?INST1 ?INST2))
                (not
                    (?REL ?INST2 ?INST1)))
            (and
                (not
                    (?REL ?INST1 ?INST2))
                (equal ?INST1 ?INST2)
                (not
                    (?REL ?INST2 ?INST1)))
            (and
                (not
                    (?REL ?INST1 ?INST2))
                (not
                    (equal ?INST1 ?INST2))
                (?REL ?INST2 ?INST1)))))		 Merge.kif 2426-2441
(=>
    (and
        (independentProbability ?FORMULA1 ?FORMULA2)
        (equal
            (ProbabilityFn ?FORMULA2) ?NUMBER1)
        (conditionalProbability ?FORMULA1 ?FORMULA2 ?NUMBER2))
    (equal ?NUMBER2 ?NUMBER1))		 Merge.kif 2749-2754
(=>
    (instance ?LIST UniqueList)
    (forall (?NUMBER1 ?NUMBER2)
        (=>
            (equal
                (ListOrderFn ?LIST ?NUMBER1)
                (ListOrderFn ?LIST ?NUMBER2))
            (equal ?NUMBER1 ?NUMBER2))))		 Merge.kif 3021-3026
(=>
    (disjointDecomposition ?CLASS @ROW)
    (forall (?ITEM1 ?ITEM2)
        (=>
            (and
                (inList ?ITEM1
                    (ListFn @ROW))
                (inList ?ITEM2
                    (ListFn @ROW))
                (not
                    (equal ?ITEM1 ?ITEM2)))
            (disjoint ?ITEM1 ?ITEM2))))		 Merge.kif 3068-3077
(=>
    (and
        (valence ?REL ?NUMBER)
        (instance ?REL Predicate))
    (forall (@ROW)
        (=>
            (?REL @ROW)
            (equal
                (ListLengthFn
                    (ListFn @ROW)) ?NUMBER))))		 Merge.kif 3159-3166
(=>
    (and
        (equal ?LIST3
            (ListConcatenateFn ?LIST1 ?LIST2))
        (not
            (equal ?LIST1 NullList))
        (not
            (equal ?LIST2 NullList))
        (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 3194-3213
(=>
    (inList ?ITEM ?LIST)
    (exists (?NUMBER)
        (equal
            (ListOrderFn ?LIST ?NUMBER) ?ITEM)))		 Merge.kif 3224-3227
(=>
    (and
        (equal ?R
            (SubListFn ?S ?E ?L))
        (equal
            (SubtractionFn ?E ?S) 0))
    (equal ?R NullList))		 Merge.kif 3281-3288
(=>
    (and
        (equal ?R
            (SubListFn ?S ?E ?L))
        (equal
            (SubtractionFn ?E ?S) 1))
    (equal ?R
        (ListFn
            (ListOrderFn ?L ?S))))		 Merge.kif 3290-3299
(=>
    (and
        (equal ?R
            (SubListFn ?S ?E ?L))
        (greaterThan
            (SubtractionFn ?E ?S) 1))
    (equal ?R
        (ListConcatenateFn
            (ListFn
                (ListOrderFn ?L ?S))
            (SubListFn
                (AdditionFn 1 ?S) ?E ?L))))		 Merge.kif 3301-3313
(=>
    (equal
        (LastFn ?LIST) ?ITEM)
    (exists (?NUMBER)
        (and
            (equal
                (ListLengthFn ?LIST) ?NUMBER)
            (equal
                (ListOrderFn ?LIST ?NUMBER) ?ITEM))))		 Merge.kif 3323-3328

Display limited to 25 items. Show next 25

Display limited to 25 items. Show next 25

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


(forall (@ROW ?ITEM)
    (equal
        (ListLengthFn
            (ListFn @ROW ?ITEM))
        (SuccessorFn
            (ListLengthFn
                (ListFn @ROW)))))		 Merge.kif 3148-3151
(forall (@ROW ?ITEM)
    (equal
        (ListOrderFn
            (ListFn @ROW ?ITEM)
            (ListLengthFn
                (ListFn @ROW ?ITEM))) ?ITEM))		 Merge.kif 3153-3157
(forall (?NUMBER)
    (equal
        (SuccessorFn ?NUMBER)
        (AdditionFn ?NUMBER 1)))		 Merge.kif 4832-4833
(forall (?NUMBER)
    (equal
        (PredecessorFn ?NUMBER)
        (SubtractionFn ?NUMBER 1)))		 Merge.kif 4848-4849
(not
    (equal BigSix GroupOf6))		 Government.kif 2907-2907
(equal
    (ReachingMilitaryAgeAnnuallyMaleFn ?AREA ?YEAR)
    (CardinalityFn
        (KappaFn ?PERSON
            (and
                (instance ?PERSON Human)
                (attribute ?PERSON Male)
                (militaryAge ?AREA ?MILITARYAGE)
                (equal ?AGEMINUSONE
                    (SubtractionFn ?AGE 1))
                (holdsDuring ?YEAR
                    (or
                        (age ?PERSON ?AGEMINUSONE)
                        (age ?PERSON ?AGE)))
                (equal ?AGE ?MILITARYAGE)
                (inhabits ?PERSON ?AREA)))))		 Military.kif 1197-1210
(and
    (instance ?YEAR
        (YearFn ?Y))
    (equal
        (ChildrenBornPerWomanFn ?AREA ?YEAR)
        (CardinalityFn
            (KappaFn ?INFANT
                (and
                    (instance ?BIRTH Birth)
                    (experiencer ?BIRTH ?INFANT)
                    (agent ?BIRTH ?WOMAN)
                    (instance ?WOMAN Human)
                    (attribute ?WOMAN Female)
                    (holdsDuring ?YEAR
                        (inhabits ?WOMAN ?AREA)))))))		 People.kif 490-503

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


(equal
    (ArcTangentFn
        (TangentFn ?X)) ?X)		 Merge.kif 5378-5378
(equal
    (ArcCosineFn
        (CosineFn ?X)) ?X)		 Merge.kif 5388-5388
(equal
    (ArcSineFn
        (SineFn ?X)) ?X)		 Merge.kif 5398-5398
(equal
    (MeasureFn ?NUMBER Centimeter)
    (MeasureFn
        (MultiplicationFn ?NUMBER 0.01) Meter))		 Merge.kif 6899-6901
(equal
    (MeasureFn ?NUMBER Millimeter)
    (MeasureFn
        (MultiplicationFn ?NUMBER 0.001) Meter))		 Merge.kif 6908-6911
(equal
    (MeasureFn ?NUMBER Kilometer)
    (MeasureFn
        (MultiplicationFn ?NUMBER 1000) Meter))		 Merge.kif 6918-6921
(equal
    (MeasureFn ?NUMBER CelsiusDegree)
    (MeasureFn
        (SubtractionFn ?NUMBER 273.15) KelvinDegree))		 Merge.kif 7127-7129
(equal
    (MeasureFn ?NUMBER CelsiusDegree)
    (MeasureFn
        (DivisionFn
            (SubtractionFn ?NUMBER 32.0) 1.8) FahrenheitDegree))		 Merge.kif 7131-7133
(equal
    (MeasureFn ?NUMBER DayDuration)
    (MeasureFn
        (MultiplicationFn ?NUMBER 24) HourDuration))		 Merge.kif 7206-7208
(equal
    (MeasureFn ?NUMBER HourDuration)
    (MeasureFn
        (MultiplicationFn ?NUMBER 60) MinuteDuration))		 Merge.kif 7214-7216
(equal
    (MeasureFn ?NUMBER MinuteDuration)
    (MeasureFn
        (MultiplicationFn ?NUMBER 60) SecondDuration))		 Merge.kif 7222-7224
(equal
    (MeasureFn 1 WeekDuration)
    (MeasureFn 7 DayDuration))		 Merge.kif 7231-7233
(equal
    (MeasureFn 1 YearDuration)
    (MeasureFn 365 DayDuration))		 Merge.kif 7258-7260
(equal
    (MeasureFn ?NUMBER Amu)
    (MeasureFn
        (MultiplicationFn ?NUMBER
            (DivisionFn
                (DivisionFn
                    (DivisionFn
                        (DivisionFn 1.6605402 1000000.0) 1000000.0) 1000000.0) 1000000.0)) Gram))		 Merge.kif 7271-7281
(equal
    (MeasureFn ?NUMBER ElectronVolt)
    (MeasureFn
        (MultiplicationFn ?NUMBER
            (DivisionFn
                (DivisionFn
                    (DivisionFn 1.60217733 1000000.0) 1000000.0) 10000000.0)) Joule))		 Merge.kif 7289-7297
(equal
    (MeasureFn ?NUMBER Angstrom)
    (MeasureFn
        (MultiplicationFn ?NUMBER
            (DivisionFn
                (DivisionFn 1.0 100000.0) 100000.0)) Meter))		 Merge.kif 7307-7313
(equal
    (MeasureFn ?NUMBER FootLength)
    (MeasureFn
        (MultiplicationFn ?NUMBER 0.3048) Meter))		 Merge.kif 7324-7326
(equal
    (MeasureFn ?NUMBER Inch)
    (MeasureFn
        (MultiplicationFn ?NUMBER 0.0254) Meter))		 Merge.kif 7331-7333
(equal
    (MeasureFn ?NUMBER Mile)
    (MeasureFn
        (MultiplicationFn ?NUMBER 1609.344) Meter))		 Merge.kif 7338-7340
(equal
    (MeasureFn ?NUMBER UnitedStatesGallon)
    (MeasureFn
        (MultiplicationFn ?NUMBER 3.785411784) Liter))		 Merge.kif 7350-7352
(equal
    (MeasureFn ?NUMBER Quart)
    (MeasureFn
        (DivisionFn ?NUMBER 4) UnitedStatesGallon))		 Merge.kif 7359-7361
(equal
    (MeasureFn ?NUMBER Pint)
    (MeasureFn
        (DivisionFn ?NUMBER 2) Quart))		 Merge.kif 7368-7370
(equal
    (MeasureFn ?NUMBER Cup)
    (MeasureFn
        (DivisionFn ?NUMBER 2) Pint))		 Merge.kif 7377-7379
(equal
    (MeasureFn ?NUMBER Ounce)
    (MeasureFn
        (DivisionFn ?NUMBER 8) Cup))		 Merge.kif 7386-7388
(equal
    (MeasureFn ?NUMBER UnitedKingdomGallon)
    (MeasureFn
        (MultiplicationFn ?NUMBER 4.54609) Liter))		 Merge.kif 7395-7397

Display limited to 25 items. Show next 25

Display limited to 25 items. Show next 25


Show full definition with tree view
Show simplified definition (without tree view)
Show simplified definition (with tree view)


Sigma web home      Suggested Upper Merged Ontology (SUMO) web home
Sigma version 3.0.0-ac69cf7a (2026-05-13) is open source software produced by Articulate Software and its partners