SymmetricRelation - Sigma Knowledge base Browser

appearance as argument number 1

(disjoint SymmetricRelation AntisymmetricRelation)	Merge.kif 2238-2238	Symmetric relation is disjoint from antisymmetric relation
(documentation SymmetricRelation ChineseLanguage "一个 BinaryRelation ?REL 属于对称关系只是当且仅当所有的 ?INST1 和 ?INST2 是 (?REL ?INST1 ?INST2) 意味着 (?REL ?INST2 ?INST1)。")	chinese_format.kif 1837-1838
(documentation SymmetricRelation EnglishLanguage "A BinaryRelation ?REL is symmetric just iff (?REL ?INST1 ?INST2) imples (?REL ?INST2 ?INST1), for all ?INST1 and ?INST2.")	Merge.kif 2240-2242
(subclass SymmetricRelation BinaryRelation)	Merge.kif 2237-2237	Symmetric relation is a subclass of binary relation

appearance as argument number 2

(instance cohabitant SymmetricRelation)	Mid-level-ontology.kif 22927-22927	cohabitant is an instance of symmetric relation
(instance conjugate SymmetricRelation)	Mid-level-ontology.kif 6452-6452	conjugate is an instance of symmetric relation
(instance connected SymmetricRelation)	Merge.kif 9467-9467	connected is an instance of symmetric relation
(instance connectedEngineeringComponents SymmetricRelation)	Merge.kif 15942-15942	connected engineering components is an instance of symmetric relation
(instance consistent SymmetricRelation)	Merge.kif 16753-16753	consistent is an instance of symmetric relation
(instance coworker SymmetricRelation)	Mid-level-ontology.kif 22904-22904	coworker is an instance of symmetric relation
(instance diplomaticRelations SymmetricRelation)	Government.kif 4543-4543	diplomatic relations is an instance of symmetric relation
(instance disjoint SymmetricRelation)	Merge.kif 394-394	disjoint is an instance of symmetric relation
(instance domesticPartner SymmetricRelation)	Mid-level-ontology.kif 23311-23311	domestic partner is an instance of symmetric relation
(instance enemy SymmetricRelation)	MilitaryProcesses.kif 2450-2450	enemy is an instance of symmetric relation
(instance friend SymmetricRelation)	Mid-level-ontology.kif 22892-22892	friend is an instance of symmetric relation
(instance independentProbability SymmetricRelation)	Merge.kif 2609-2609	independent probability is an instance of symmetric relation
(instance inverse SymmetricRelation)	Merge.kif 109-109	inverse is an instance of symmetric relation
(instance legalRelation SymmetricRelation)	Merge.kif 16368-16368	legal relation is an instance of symmetric relation
(instance meetsSpatially SymmetricRelation)	Merge.kif 9532-9532	meets spatially is an instance of symmetric relation
(instance mutualAcquaintance SymmetricRelation)	Merge.kif 16395-16395	mutual acquaintance is an instance of symmetric relation
(instance mutualStranger SymmetricRelation)	Mid-level-ontology.kif 23296-23296	mutual stranger is an instance of symmetric relation
(instance neighbor SymmetricRelation)	Mid-level-ontology.kif 6623-6623	neighbor is an instance of symmetric relation
(instance oppositeDirection SymmetricRelation)	Mid-level-ontology.kif 17937-17937	opposite direction is an instance of symmetric relation
(instance orthogonalTests SymmetricRelation)	UXExperimentalTerms.kif 4649-4649	managed orthogonal is an instance of symmetric relation
(instance overlapsPartially SymmetricRelation)	Merge.kif 9579-9579	overlap partially is an instance of symmetric relation
(instance overlapsSpatially SymmetricRelation)	Merge.kif 9542-9542	overlap spatially is an instance of symmetric relation
(instance overlapsTemporally SymmetricRelation)	Merge.kif 8193-8193	overlap temporally is an instance of symmetric relation
(instance relatedEvent SymmetricRelation)	Merge.kif 3744-3744	related event is an instance of symmetric relation
(instance sibling SymmetricRelation)	Merge.kif 16313-16313	sibling is an instance of symmetric relation

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antecedent

(=>
    (instance ?REL SymmetricRelation)
    (forall (?INST1 ?INST2)
        (=>
            (?REL ?INST1 ?INST2)
            (?REL ?INST2 ?INST1))))

Merge.kif 2244-2249

If an entity is an instance of symmetric relation,
then for all another entity and a third entity
- if the entity the other entity and the third entity,
- then the entity the third entity and the other entity

consequent

(=>
    (equivalenceRelationOn ?RELATION ?CLASS)
    (and
        (instance ?RELATION TransitiveRelation)
        (instance ?RELATION SymmetricRelation)
        (reflexiveOn ?RELATION ?CLASS)))

Merge.kif 3690-3695

If a binary relation is an equivalence relation on a class,
then the binary relation is an instance of transitive relation and the binary relation is an instance of symmetric relation and the binary relation is reflexive on the class

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