build open-axiom
6757 (|OneDimensionalArrayAggregate| S) |category| (((|OneDimensionalArrayAggregate| |#1|) (|Category|) (|Type|)) (T |OneDimensionalArrayAggregate|)) (T T) (|Join| (|FiniteLinearAggregate| |t#1|) (|ShallowlyMutableAggregate| |t#1|)) "aggcat.spad" ((~= (#1=((|Boolean|) $ $) 18 (|has| |#1| . #2=((|BasicType|))) ELT)) (|swap!| (((|Void|) $ #3=(|Integer|) #3#) 35 (|has| $ (|ShallowlyMutableAggregate| |#1|)) ELT)) (|sorted?| ((#4=(|Boolean|) (|Mapping| #4# |#1| |#1|) $) 96 T ELT) ((#4# $) 90 (|has| |#1| . #5=((|OrderedSet|))) ELT)) (|sort!| (($ (|Mapping| #4# |#1| |#1|) . #6=($)) 87 (|has| $ (|ShallowlyMutableAggregate| |#1|)) ELT) (#7=($ $) 86 (AND (|has| |#1| . #5#) (|has| $ (|ShallowlyMutableAggregate| |#1|))) ELT)) (|sort| (($ (|Mapping| #4# |#1| |#1|) . #6#) 97 T ELT) (#7# 91 (|has| |#1| . #5#) ELT)) (|setelt| ((|#1| $ #3# |#1|) 47 (|has| $ (|ShallowlyMutableAggregate| |#1|)) ELT) ((|#1| $ #8=(|UniversalSegment| #3#) |#1|) 55 (|has| $ (|ShallowlyMutableAggregate| |#1|)) ELT)) (|select| (($ (|Mapping| #9=(|Boolean|) |#1|) . #10=($)) 69 (|has| $ (|FiniteAggregate| |#1|)) ELT)) (|sample| (#11=($) 6 T CONST)) (|reverse!| (#7# 88 (|has| $ (|ShallowlyMutableAggregate| |#1|)) ELT)) (|reverse| (#7# 98 T ELT)) (|removeDuplicates| (($ $) 71 (AND (|has| |#1| . #12=((|BasicType|))) (|has| $ (|FiniteAggregate| |#1|))) ELT)) (|remove| (($ |#1| $) 70 (AND (|has| |#1| . #12#) (|has| $ (|FiniteAggregate| |#1|))) ELT) (($ (|Mapping| #9# |#1|) . #10#) 68 (|has| $ (|FiniteAggregate| |#1|)) ELT)) (|reduce| ((|#1| (|Mapping| |#1| |#1| |#1|) $ |#1| |#1|) 110 (|has| |#1| . #13=((|BasicType|))) ELT) ((|#1| (|Mapping| |#1| |#1| |#1|) $ |#1|) 106 T ELT) ((|#1| (|Mapping| |#1| |#1| |#1|) $) 105 T ELT)) (|qsetelt!| ((|#1| $ #3# |#1|) 48 (|has| $ (|ShallowlyMutableAggregate| |#1|)) ELT)) (|qelt| ((|#1| $ #3#) 46 T ELT)) (|position| ((#14=(|Integer|) (|Mapping| #4# |#1|) $) 95 T ELT) ((#14# |#1| $) 94 (|has| |#1| . #15=((|BasicType|))) ELT) ((#14# |#1| $ #14#) 93 (|has| |#1| . #15#) ELT)) (|new| (($ (|NonNegativeInteger|) |#1|) 65 T ELT)) (|minIndex| ((#3# . #16=($)) 38 (|has| #3# . #17=((|OrderedSet|))) ELT)) (|min| (#18=($ $ $) 80 (|has| |#1| . #5#) ELT)) (|merge| (($ (|Mapping| #4# |#1| |#1|) $ $) 99 T ELT) (($ $ $) 92 (|has| |#1| . #5#) ELT)) (|members| (((|List| |#1|) $) 104 T ELT)) (|member?| ((#19=(|Boolean|) |#1| $) 109 (|has| |#1| . #13#) ELT)) (|maxIndex| ((#3# . #16#) 39 (|has| #3# . #17#) ELT)) (|max| (#18# 81 (|has| |#1| . #5#) ELT)) (|map!| (($ (|Mapping| |#1| |#1|) $) 112 T ELT)) (|map| (($ (|Mapping| |#1| |#1|) $) 26 T ELT) (($ (|Mapping| |#1| |#1| |#1|) $ $) 60 T ELT)) (|latex| (((|String|) $) 21 (|has| |#1| . #20=((|SetCategory|))) ELT)) (|insert| (($ |#1| $ #3#) 57 T ELT) (($ $ $ #3#) 56 T ELT)) (|indices| (((|List| #3#) $) 41 T ELT)) (|index?| ((#21=(|Boolean|) #3# $) 42 T ELT)) (|hash| (((|SingleInteger|) $) 20 (|has| |#1| . #20#) ELT)) (|first| ((|#1| $) 37 (|has| #3# . #17#) ELT)) (|find| (((|Union| |#1| "failed") (|Mapping| #19# |#1|) $) 107 T ELT)) (|fill!| (($ $ |#1|) 36 (|has| $ (|ShallowlyMutableAggregate| |#1|)) ELT)) (|every?| ((#19# (|Mapping| #19# |#1|) . #22=($)) 102 T ELT)) (|eval| (($ $ (|List| (|Equation| |#1|))) 25 (AND (|has| |#1| (|Evalable| |#1|)) (|has| |#1| . #20#)) ELT) (($ $ (|Equation| |#1|)) 24 (AND (|has| |#1| (|Evalable| |#1|)) (|has| |#1| . #20#)) ELT) (($ $ |#1| |#1|) 23 (AND (|has| |#1| (|Evalable| |#1|)) (|has| |#1| . #20#)) ELT) (($ $ (|List| |#1|) (|List| |#1|)) 22 (AND (|has| |#1| (|Evalable| |#1|)) (|has| |#1| . #20#)) ELT)) (|eq?| ((#23=(|Boolean|) $ $) 10 T ELT)) (|entry?| ((#21# |#1| $) 40 (AND (|has| $ (|FiniteAggregate| |#1|)) (|has| |#1| (|BasicType|))) ELT)) (|entries| (((|List| |#1|) $) 43 T ELT)) (|empty?| ((#23# $) 7 T ELT)) (|empty| (#11# 8 T ELT)) (|elt| ((|#1| $ #3# |#1|) 45 T ELT) ((|#1| $ #3#) 44 T ELT) (($ $ #8#) 66 T ELT)) (|delete| (($ $ #3#) 59 T ELT) (($ $ #8#) 58 T ELT)) (|count| ((#24=(|NonNegativeInteger|) |#1| $) 108 (|has| |#1| . #13#) ELT) ((#24# (|Mapping| #19# |#1|) $) 103 T ELT)) (|copyInto!| (($ $ $ #14#) 89 (|has| $ (|ShallowlyMutableAggregate| |#1|)) ELT)) (|copy| (($ $) 9 T ELT)) (|convert| ((#25=(|InputForm|) $) 72 (|has| |#1| (|ConvertibleTo| #25#)) ELT)) (|construct| (($ (|List| |#1|)) 67 T ELT)) (|concat| (($ $ |#1|) 64 T ELT) (($ |#1| $) 63 T ELT) (($ $ $) 62 T ELT) (($ (|List| $)) 61 T ELT)) (|coerce| (((|OutputForm|) $) 16 (|has| |#1| (|CoercibleTo| (|OutputForm|))) ELT)) (|before?| (#1# 19 (|has| |#1| . #2#) ELT)) (|any?| ((#19# (|Mapping| #19# |#1|) . #22#) 101 T ELT)) (>= (#26=((|Boolean|) $ $) 82 (|has| |#1| . #5#) ELT)) (> (#26# 84 (|has| |#1| . #5#) ELT)) (= (#1# 17 (|has| |#1| . #2#) ELT)) (<= (#26# 83 (|has| |#1| . #5#) ELT)) (< (#26# 85 (|has| |#1| . #5#) ELT)) (|#| ((#24# $) 100 T ELT))) A1AGG (((|FiniteLinearAggregate| S) . T) ((|ShallowlyMutableAggregate| S) . T)) (((|Aggregate|) . T) ((|BasicType|) |has| |#1| (|BasicType|)) ((|CoercibleTo| (|OutputForm|)) |has| |#1| (|CoercibleTo| (|OutputForm|))) ((|Collection| |#1|) . T) (#1=(|ConvertibleTo| (|InputForm|)) |has| |#1| #1#) ((|Eltable| (|UniversalSegment| #2=(|Integer|)) $) . T) ((|Eltable| #2# |#1|) . T) ((|EltableAggregate| #2# |#1|) . T) ((|Evalable| |#1|) AND (|has| |#1| (|Evalable| |#1|)) (|has| |#1| (|SetCategory|))) ((|FiniteAggregate| |#1|) . T) ((|FiniteLinearAggregate| |#1|) . T) ((|Functorial| |#1|) . T) ((|HomogeneousAggregate| |#1|) . T) ((|IndexedAggregate| #2# |#1|) . T) ((|InnerEvalable| |#1| |#1|) AND (|has| |#1| (|Evalable| |#1|)) (|has| |#1| (|SetCategory|))) ((|LinearAggregate| |#1|) . T) (#3=(|OrderedSet|) |has| |#1| . #4=(#3#)) ((|OrderedType|) |has| |#1| . #4#) ((|SetCategory|) |has| |#1| (|SetCategory|)) ((|ShallowlyMutableAggregate| |#1|) . T) ((|Type|) . T)) ((|constructor| (NIL "One-dimensional-array aggregates serves as models for one-dimensional arrays. Categorically,{} these aggregates are finite linear aggregates with the shallowly mutable property,{} that is,{} any component of the array may be changed without affecting the identity of the overall array. Array data structures are typically represented by a fixed area in storage and therefore cannot efficiently grow or shrink on demand as can list structures (see however \\spadtype{FlexibleArray} for a data structure which is a cross between a list and an array). Iteration over,{} and access to,{} elements of arrays is extremely fast (and often can be optimized to open-code). Insertion and deletion however is generally slow since an entirely new data structure must be created for the result."))) (("documentation" 0 5944) ("ancestors" 0 5039) ("parents" 0 4965) ("abbreviation" 0 4959) ("predicates" 0 NIL) ("attributes" 0 NIL) ("signaturesAndLocals" 0 NIL) ("superDomain" 0 NIL) ("operationAlist" 0 264) ("modemaps" 0 NIL) ("sourceFile" 0 250) ("constructorCategory" 0 173) ("dualSignature" 0 167) ("constructorModemap" 0 67) ("constructorKind" 0 56) ("constructorForm" 0 21))