ListFn - Sigma Knowledge base Browser

appearance as argument number 1

(documentation ListFn ChineseLanguage "这是一个可以接受任何数量的参数，然后交出含有跟哪些参数完全相同顺序的 Function。")	Merge.kif 3133-3134
(documentation ListFn EnglishLanguage "A Function that takes any number of arguments and returns the List containing those arguments in exactly the same order.")	Merge.kif 3131-3132
(domain ListFn 1 Entity)	Merge.kif 3128-3128	The number 1 argument of list is an instance of entity
(instance ListFn Function)	Merge.kif 3126-3126	List is an instance of function
(instance ListFn VariableArityRelation)	Merge.kif 3127-3127	List is an instance of variable arity relation
(range ListFn List)	Merge.kif 3130-3130	The range of list is an instance of list

appearance as argument number 2

(format ChineseLanguage ListFn "(%*[,])")	chinese_format.kif 261-261
(format EnglishLanguage ListFn "(%*[,])")	english_format.kif 159-159
(termFormat ChineseLanguage ListFn "表列函数")	chinese_format.kif 262-262	"表列函数" is the printable form of list in ChineseLanguage
(termFormat EnglishLanguage ListFn "list")	domainEnglishFormat.kif 6199-6199	"list" is the printable form of list in english language

antecedent

(=> (and (contraryAttribute @ROW1) (identicalListItems (ListFn @ROW1) (ListFn @ROW2))) (contraryAttribute @ROW2))	Merge.kif 522-526	If @ROW1 is the opposite of and (@ROW2) is an identical list items of (@ROW1), then @ROW2 is the opposite of
(=> (and (defaultMaxValue ?R ?ARG ?N) (?R @ARGS) (equal ?VAL (ListOrderFn (ListFn @ARGS) ?ARG))) (modalAttribute (greaterThan ?N ?VAL) Likely))	Merge.kif 18835-18840	If defaultMaxValue a predicate, a positive integer and a quantity and the predicate @ARGS and another entity is equal to the positive integerth element of (@ARGS), then the statement the quantity is greater than the other entity has the modal force of likely
(=> (and (defaultMinValue ?R ?ARG ?N) (?R @ARGS) (equal ?VAL (ListOrderFn (ListFn @ARGS) ?ARG))) (modalAttribute (greaterThan ?VAL ?N) Likely))	Merge.kif 18820-18825	If defaultMinValue a predicate, a positive integer and a quantity and the predicate @ARGS and another entity is equal to the positive integerth element of (@ARGS), then the statement the other entity is greater than the quantity has the modal force of likely
(=> (and (defaultValue ?R ?ARG ?N) (?R @ARGS) (equal ?VAL (ListOrderFn (ListFn @ARGS) ?ARG))) (modalAttribute (equal ?N ?VAL) Likely))	Merge.kif 18850-18855	If defaultValue a predicate, a positive integer and a quantity and the predicate @ARGS and another entity is equal to the positive integerth element of (@ARGS), then the statement the quantity is equal to the other entity has the modal force of likely
(=> (and (exactCardinality ?REL ?ARG 1) (instance ?REL Predicate) (?REL @ARGS) (equal ?X (ListOrderFn (ListFn @ARGS) ?ARG)) (equal ?Y (ListOrderFn (ListFn @ARGS) ?ARG))) (equal ?X ?Y))	Media.kif 2108-2115	If there can be 1 values to argument a positive integer of a relation and the relation is an instance of predicate and the relation @ARGS and another entity is equal to the positive integerth element of (@ARGS) and a fourth entity is equal to the positive integerth element of (@ARGS), then the other entity is equal to the fourth entity
(=> (and (exactCardinality ?REL ?ARG 1) (instance ?REL Predicate) (?REL @ARGS) (equal ?X (ListOrderFn (ListFn @ARGS) ?ARG))) (not (exists (?Y) (and (equal ?Y (ListOrderFn (ListFn @ARGS) ?ARG)) (not (equal ?X ?Y))))))	Media.kif 2095-2105	If there can be 1 values to argument a positive integer of a relation and the relation is an instance of predicate and the relation @ARGS and another entity is equal to the positive integerth element of (@ARGS), then there doesn't exist a fourth entity such that the fourth entity is equal to the positive integerth element of (@ARGS) and the other entity is not equal to the fourth entity
(=> (and (instance (LatitudeFn ?DIRECTION @ROW) Region) (equal (ListOrderFn (ListFn @ROW) 1) (MeasureFn ?NUM AngularDegree))) (lessThanOrEqualTo ?NUM 90))	Geography.kif 427-431	If the region a directional attribute of @ROW is an instance of region and 1th element of (@ROW) is equal to a real number angular degree(s), then the real number is less than or equal to 90
(=> (and (instance (LongitudeFn ?DIRECTION @ROW) Region) (equal (ListOrderFn (ListFn @ROW) 1) (MeasureFn ?NUM AngularDegree))) (lessThanOrEqualTo ?NUM 180))	Geography.kif 467-471	If the meridian at @ROW a directional attribute is an instance of region and 1th element of (@ROW) is equal to a real number angular degree(s), then the real number is less than or equal to 180
(=> (and (instance ?REL IntentionalRelation) (?REL ?AGENT @ROW) (inList ?OBJ (ListFn @ROW))) (inScopeOfInterest ?AGENT ?OBJ))	Merge.kif 2859-2864	If an entity is an instance of intentional relation and the entity a cognitive agent and @ROW and a third entity is a member of (@ROW), then the cognitive agent is interested in the third entity
(=> (and (maxValue ?R ?ARG ?N) (?R @ARGS) (equal ?VAL (ListOrderFn (ListFn @ARGS) ?ARG))) (greaterThan ?N ?VAL))	Merge.kif 18804-18809	If maxValue a predicate, a positive integer and a quantity and the predicate @ARGS and another quantity is equal to the positive integerth element of (@ARGS), then the quantity is greater than the other quantity
(=> (and (minValue ?R ?ARG ?N) (?R @ARGS) (equal ?VAL (ListOrderFn (ListFn @ARGS) ?ARG))) (greaterThan ?VAL ?N))	Merge.kif 18789-18794	If minValue a predicate, a positive integer and a quantity and the predicate @ARGS and another quantity is equal to the positive integerth element of (@ARGS), then the other quantity is greater than the quantity
(=> (and (orientation ?OBJ1 ?OBJ2 ?ATTR1) (contraryAttribute @ROW) (inList ?ATTR1 (ListFn @ROW)) (inList ?ATTR2 (ListFn @ROW)) (not (equal ?ATTR1 ?ATTR2))) (not (orientation ?OBJ1 ?OBJ2 ?ATTR2)))	Merge.kif 17237-17245	If an object is a positional attribute to another object and @ROW is the opposite of and the positional attribute is a member of (@ROW) and another positional attribute is a member of (@ROW) and the positional attribute is not equal to the other positional attribute, then the object is not the other positional attribute to the other object
(=> (and (processList @ROW) (inList ?Process1 (ListFn @ROW)) (inList ?Process2 (ListFn @ROW)) (equal (ListOrderFn (ListFn @ROW) ?Number1) ?Process1) (equal (ListOrderFn (ListFn @ROW) ?Number2) ?Process2) (lessThan ?Number1 ?Number2)) (earlier (WhenFn ?Process1) (WhenFn ?Process2)))	QoSontology.kif 690-698	If the list of processes @ROW and a physical is a member of (@ROW) and another physical is a member of (@ROW) and another entity element of (@ROW) is equal to the physical and a third entity element of (@ROW) is equal to the other physical and a positive integer is less than another positive integer, then the time of existence of the physical happens earlier than the time of existence of the other physical

consequent

(<=> (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 2331-2348	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 if for all another positive integer, an entity and a set or class if the other positive integer is less than the positive integer and the number the other positive integer argument of the relation is an instance of the set or class and the entity is equal to the other positive integerth element of (@ROW), then the entity is an instance of the set or class , then there exists a fourth entity such that the relation @ROW and the fourth entity
(=> (and (domain ?REL ?NUMBER ?CLASS) (instance ?REL Predicate) (?REL @ROW)) (instance (ListOrderFn (ListFn @ROW) ?NUMBER) ?CLASS))	Merge.kif 3196-3201	If the number a positive integer argument of a relation is an instance of a set or class and the relation is an instance of predicate and the relation @ROW, then the positive integerth element of (@ROW) is an instance of the set or class
(=> (and (domainSubclass ?REL ?NUMBER ?CLASS) (instance ?REL Predicate) (?REL @ROW)) (subclass (ListOrderFn (ListFn @ROW) ?NUMBER) ?CLASS))	Merge.kif 3203-3208	If the number a positive integer argument of a relation is a subclass of a set or class and the relation is an instance of predicate and the relation @ROW, then the positive integerth element of (@ROW) is a subclass of the set or class
(=> (and (exactCardinality ?REL ?ARG 1) (instance ?REL Predicate) (?REL @ARGS) (equal ?X (ListOrderFn (ListFn @ARGS) ?ARG))) (not (exists (?Y) (and (equal ?Y (ListOrderFn (ListFn @ARGS) ?ARG)) (not (equal ?X ?Y))))))	Media.kif 2095-2105	If there can be 1 values to argument a positive integer of a relation and the relation is an instance of predicate and the relation @ARGS and another entity is equal to the positive integerth element of (@ARGS), then there doesn't exist a fourth entity such that the fourth entity is equal to the positive integerth element of (@ARGS) and the other entity is not equal to the fourth entity
(=> (and (exactCardinality ?REL ?ARG 1) (instance ?REL Predicate)) (exists (?X @ARGS) (and (?REL @ARGS) (equal ?X (ListOrderFn (ListFn @ARGS) ?ARG)) (not (exists (?Y) (and (equal ?Y (ListOrderFn (ListFn @ARGS) ?ARG)) (not (equal ?X ?Y))))))))	Media.kif 2077-2092	If there can be 1 values to argument a positive integer of a relation and the relation is an instance of predicate, then there exist an entity and @ARGS such that the relation @ARGS and the entity is equal to the positive integerth element of (@ARGS) and there doesn't exist a fourth entity such that the fourth entity is equal to the positive integerth element of (@ARGS) and the entity is not equal to the fourth entity
(=> (and (exactCardinality ?REL ?ARG ?COUNT) (instance ?REL Predicate)) (exists (?S) (and (instance ?S SetOrClass) (=> (and (?REL @ARGS) (equal ?EL (ListOrderFn (ListFn @ARGS) ?ARG))) (and (instance ?EL ?S) (equal (CardinalityFn ?S) ?COUNT))))))	Media.kif 2134-2147	If there can be an integer values to argument a positive integer of a relation and the relation is an instance of predicate, then there exists a set or class such that the set or class is an instance of set or class and if the relation @ARGS and another entity is equal to the positive integerth element of (@ARGS), then the other entity is an instance of the set or class and the number of instances in the set or class is equal to the integer
(=> (and (maxCardinality ?REL ?ARG ?COUNT) (instance ?REL Predicate)) (exists (?S) (and (instance ?S SetOrClass) (=> (and (?REL @ARGS) (equal ?EL (ListOrderFn (ListFn @ARGS) ?ARG))) (and (instance ?EL ?S) (lessThanOrEqualTo (CardinalityFn ?S) ?COUNT))))))	Media.kif 2205-2218	If there can be at most an integer values to argument a positive integer of a relation and the relation is an instance of predicate, then there exists a set or class such that the set or class is an instance of set or class and if the relation @ARGS and another entity is equal to the positive integerth element of (@ARGS), then the other entity is an instance of the set or class and the number of instances in the set or class is less than or equal to the integer
(=> (and (minCardinality ?REL ?ARG ?COUNT) (instance ?REL Predicate)) (exists (?S) (and (instance ?S SetOrClass) (=> (and (?REL @ARGS) (equal ?EL (ListOrderFn (ListFn @ARGS) ?ARG))) (and (instance ?EL ?S) (greaterThanOrEqualTo (CardinalityFn ?S) ?COUNT))))))	Media.kif 2170-2183	If there are at least an integer values to argument a positive integer of a relation and the relation is an instance of predicate, then there exists a set or class such that the set or class is an instance of set or class and if the relation @ARGS and another entity is equal to the positive integerth element of (@ARGS), then the other entity is an instance of the set or class and the number of instances in the set or class is greater than or equal to the integer
(=> (and (valence ?REL ?NUMBER) (instance ?REL Predicate)) (forall (@ROW) (=> (?REL @ROW) (equal (ListLengthFn (ListFn @ROW)) ?NUMBER))))	Merge.kif 3248-3255	If a relation %&has a positive integer argument(s) and the relation is an instance of predicate, then for all @ROW if the relation @ROW, then length of (@ROW) is equal to the positive integer
(=> (contraryAttribute @ROW) (=> (inList ?ELEMENT (ListFn @ROW)) (instance ?ELEMENT Attribute)))	Merge.kif 516-520	If @ROW is the opposite of , then if another entity is a member of (@ROW), then the other entity is an instance of attribute
(=> (contraryAttribute @ROW) (forall (?ATTR1 ?ATTR2) (=> (and (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 528-538	If @ROW is the opposite of , then for all an attribute and another attribute if the attribute is equal to another entity element of (@ROW) and the other attribute is equal to a third entity element of (@ROW) and a positive integer is not equal to another positive integer, then if a fourth entity has an attribute the attribute, then the fourth entity has not an attribute the other attribute
(=> (disjointDecomposition ?CLASS @ROW) (forall (?ITEM) (=> (inList ?ITEM (ListFn @ROW)) (subclass ?ITEM ?CLASS))))	Merge.kif 3146-3151	If a class is disjointly decomposed into @ROW, then for all a set or class if the set or class is a member of (@ROW), then the set or class is a subclass of the class
(=> (disjointDecomposition ?CLASS @ROW) (forall (?ITEM1 ?ITEM2) (=> (and (inList ?ITEM1 (ListFn @ROW)) (inList ?ITEM2 (ListFn @ROW)) (not (equal ?ITEM1 ?ITEM2))) (disjoint ?ITEM1 ?ITEM2))))	Merge.kif 3153-3162	If a class is disjointly decomposed into @ROW, then for all a set or class and another set or class if the set or class is a member of (@ROW) and the other set or class is a member of (@ROW) and the set or class is not equal to the other set or class, then the set or class is disjoint from the other set or class
(=> (disjointDecomposition @ROW) (=> (inList ?ELEMENT (ListFn @ROW)) (instance ?ELEMENT Class)))	Merge.kif 628-632	If @ROW is disjointly decomposed into @ROW, then if another entity is a member of (@ROW), then the other entity is an instance of class
(=> (equal (GreatestCommonDivisorFn @ROW) ?NUMBER) (=> (inList ?ELEMENT (ListFn @ROW)) (instance ?ELEMENT Number)))	Merge.kif 5016-5021	If the greatest common divisor of @ROW is equal to an integer, then if another entity is a member of (@ROW), then the other entity is an instance of number
(=> (equal (GreatestCommonDivisorFn @ROW) ?NUMBER) (forall (?ELEMENT) (=> (inList ?ELEMENT (ListFn @ROW)) (equal (RemainderFn ?ELEMENT ?NUMBER) 0))))	Merge.kif 5023-5028	If the greatest common divisor of @ROW is equal to an integer, then for all another integer if the other integer is a member of (@ROW), then the other integer mod the integer is equal to 0
(=> (equal (GreatestCommonDivisorFn @ROW) ?NUMBER) (not (exists (?GREATER) (and (greaterThan ?GREATER ?NUMBER) (forall (?ELEMENT) (=> (inList ?ELEMENT (ListFn @ROW)) (equal (RemainderFn ?ELEMENT ?GREATER) 0)))))))	Merge.kif 5030-5038	If the greatest common divisor of @ROW is equal to an integer, then there doesn't exist another integer such that the other integer is greater than the integer and for all a third integer if the third integer is a member of (@ROW), then the third integer mod the other integer is equal to 0
(=> (equal (LeastCommonMultipleFn @ROW) ?NUMBER) (=> (inList ?ELEMENT (ListFn @ROW)) (instance ?ELEMENT Number)))	Merge.kif 5095-5100	If the least common multiple of @ROW is equal to an integer, then if another entity is a member of (@ROW), then the other entity is an instance of number
(=> (equal (LeastCommonMultipleFn @ROW) ?NUMBER) (forall (?ELEMENT) (=> (inList ?ELEMENT (ListFn @ROW)) (equal (RemainderFn ?NUMBER ?ELEMENT) 0))))	Merge.kif 5102-5107	If the least common multiple of @ROW is equal to an integer, then for all another integer if the other integer is a member of (@ROW), then the integer mod the other integer is equal to 0
(=> (equal (LeastCommonMultipleFn @ROW) ?NUMBER) (not (exists (?LESS) (and (lessThan ?LESS ?NUMBER) (forall (?ELEMENT) (=> (inList ?ELEMENT (ListFn @ROW)) (equal (RemainderFn ?LESS ?ELEMENT) 0)))))))	Merge.kif 5109-5117	If the least common multiple of @ROW is equal to an integer, then there doesn't exist another integer such that the other integer is less than the integer and for all a third integer if the third integer is a member of (@ROW), then the other integer mod the third integer is equal to 0
(=> (equal ?LIST1 ?LIST2) (=> (and (equal ?LIST1 (ListFn @ROW1)) (equal ?LIST2 (ListFn @ROW2))) (forall (?NUMBER) (equal (ListOrderFn (ListFn @ROW1) ?NUMBER) (ListOrderFn (ListFn @ROW2) ?NUMBER)))))	Merge.kif 328-335	If a list is equal to another list, then if the list is equal to (@ROW1) and the other list is equal to (@ROW2), then for all a positive integer the positive integerth element of (@ROW1) is equal to the positive integerth element of (@ROW2)
(=> (exactCardinality ?REL ?ARG ?COUNT) (equal (CardinalityFn (KappaFn ?EL (and (?REL @ARGS) (equal ?EL (ListOrderFn (ListFn @ARGS) ?ARG))))) ?COUNT))	Media.kif 2123-2131	If there can be an integer values to argument another integer of a relation, then the number of instances in the class described by a symbolic string is equal to the integer
(=> (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 570-582	If @ROW are all the attributes of another kind of attribute, then there doesn't exist an entity such that the entity is an instance of another kind of attribute and there don't exist another entity and a positive integer such that the entity is equal to the other entity and the other entity is equal to the positive integerth element of (@ROW)
(=> (exhaustiveAttribute ?CLASS @ROW) (=> (equal ?ATTR1 (ListOrderFn (ListFn @ROW) ?N1)) (not (exists (?ATTR2 ?N2) (and (equal ?ATTR1 ?ATTR2) (not (equal ?N1 ?N2)))))))	Merge.kif 584-594	If @ROW are all the attributes of another kind of attribute, then if an entity is equal to another entity element of (@ROW), then there don't exist a third entity and a fourth entity such that the entity is equal to the third entity and a positive integer is not equal to the fourth entity
(=> (exhaustiveAttribute ?CLASS @ROW) (=> (inList ?ATTR (ListFn @ROW)) (instance ?ATTR Attribute)))	Merge.kif 554-558	If @ROW are all the attributes of another kind of attribute, then if an entity is a member of (@ROW), then the entity is an instance of attribute

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statement

(forall (@ROW ?ITEM) (equal (ListLengthFn (ListFn @ROW ?ITEM)) (SuccessorFn (ListLengthFn (ListFn @ROW)))))	Merge.kif 3237-3240	For all @ROW and another entity length of (@ROW and the other entity) is equal to (length of (@ROW)+1)
(forall (@ROW ?ITEM) (equal (ListOrderFn (ListFn @ROW ?ITEM) (ListLengthFn (ListFn @ROW ?ITEM))) ?ITEM))	Merge.kif 3242-3246	For all @ROW and another entity length of (@ROW and the other entity)th element of (@ROW and the other entity) is equal to the other entity
(forall (@ROW ?ITEM) (initialList (ListFn @ROW) (ListFn @ROW ?ITEM)))	Merge.kif 3395-3396	For all @ROW and another entity (@ROW) starts (@ROW and the other entity)

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