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Lemma dependency for Specification storearrays

A lemma (entry) may depend on lemmas (entries) below its position, but never on lemmas above its position. This means the list is a topological order of the dependency graph. An entry 'all subs proved' means that all used lemmas are (transitively) proved.

Name: Status: Subs proved? Used:
getbar-putbar-01provedall subs proved getbar-putbar-same-01, putByteArray-all, getByteArray-all, putbar-len,
getbar-putbar-same-01provedall subs proved getbar-put-lower, putBar-rec, getbar-rec, bar-empty-01, putBar-empty,
putbar-getbar-leprovedall subs proved getbar-put-lower, getbar-rec, putBar-rec, bar-empty-01, putBar-empty,
getintarray-put-upper-02provedall subs proved getintarray-put-upper,
getintarray-put-upper-01provedall subs proved getintarray-put-upper,
getintarray-put-other-03provedall subs proved getintarray-put-upper, getintarray-put-lower,
getintarray-put-other-02provedall subs proved getintarray-put-upper, getintarray-put-lower, getintarray-def,
getbar-putprovedall subs proved getbar-put-other, getbar-put-lower, get-put-01, getbar-ref,
getintarray-put-upperprovedall subs proved getarray-put-05, getintarray,
getbar-put-lowerprovedall subs proved getbar-put-other,
getbar-put-02provedall subs proved getbar-put-other,
getbar-putbar-sameprovedall subs proved putbar-getbar, putBar-at-len, putByteArray-all, getByteArray-all,
getbyte-putbyteprovedall subs proved putbar-getbar, putBar-at-len, getByteArray-all,
getbar-put-otherprovedall subs proved getarray-put-01, getarray-put, getarray-put-02, getByteArray,
putbar-lenprovedall subs proved putbar-len-01, putByteArray-all,
putbar-getbarprovedall subs proved putar-getar, putByteArray, getByteArray,
getintarray-put-lowerprovedall subs proved getarray-put, getintarray,
getarray-put-05provedall subs proved getarray-put-01, getarray-put, getarray-put-02,
sublist-getbarprovedall subs proved bar-sublist, getByteArray-all,
getbar-union-02provedall subs proved getbar-union-03,
getbar-unionprovedall subs proved getbar-union-01,
bar-firstnprovedall subs proved bar-sublist,
bar-eq-subprovedall subs proved bar-neq-soffset,
putbar-len-01provedall subs proved putBar-at-len,
putar-getarprovedall subs proved getarray-put-01, getarray-offset-02, putar-at, getArray-one, getArray-rec, putArray-rec, get-zero, putArray-empty,
getbar-union-03provedall subs proved getarray-union, getByteArray,
getbar-union-01provedall subs proved getarray-union, getByteArray, getByteArray-all,
getarray-putprovedall subs proved getarray-put-01,
bar-sublistprovedall subs proved bar-len-03, getbar-anyrec,
bar-neq-soffsetprovedall subs proved bar-neq-same, bar-len-02, bar-empty, getbar-anyrec,
getarray-put=setprovedall subs proved getarray-put-01, get-length, get-zero, getArray-one, getArray-rec,
getbar-appeq-01provedall subs proved getbar-appeq,
getbar-length-01provedall subs proved getbar-len-02,
getbar-restn-01provedall subs proved bar-len-03, getbar-anyrec, getByteArray-all,
getbytearray-put-index-lengthprovedall subs proved getbar-len-03, bar-zero, getbar-len-01, bar-length,
getbytearray-putbar-lengthprovedall subs proved get-length-02, get-length-01, getByteArray, putBar-at-len, getByteArray-all,
putBar-lastrecprovedall subs proved putBar-rec, putBar-empty, putBar-one, putBar-rew,
putbar-put-modeprovedall subs proved putBar-at-mode, putByteArray-all,
bar-neq-sameprovedall subs proved bar-neq,
getbar-appeqprovedall subs proved bar-len-02,
getbar-len-02provedall subs proved bar-len-02,
bar-len-03provedall subs proved bar-len-02,
getarray-unionprovedall subs proved getArray-zero, getarray-offset-02,
getbar-len-03provedall subs proved getbar-len-01, bar-length,
putBar-rewprovedall subs proved putBar-at-fskey, putBar-at, putbar-atref-01, putbar-byte, putbar-atother-01, putBar-in,
getarray-put-01provedall subs proved getarray-offset-02, getArray-zero, get-rec-01,
putBar-at-lenprovedall subs proved putBar-at-fskey,
putBar-at-modeprovedall subs proved putBar-at-fskey,
putbytearray-subset-newprovedall subs proved putbytearray-subset-new-01, putByteArray-all,
putbar-overrideprovedall subs proved putbar-put-override, putBar-rec, putBar-empty,
putBar-at-typeprovedall subs proved putBar-at-fskey,
getintarray-zeroprovedall subs proved getintarray-empty-02, getintarray-def,
getintarray-max-rec-01provedall subs proved getintarray-empty-02, getintarray-rec-last,
getintarray-max-recprovedall subs proved getintarray-empty-02, getintarray-rec-last,
getintarray-length-01provedall subs proved getintarray-length, getintarray-def,
getintarray-atprovedall subs proved get-get, get-length, getintarray, getintarray-empty-02,
getbytearray-subsetprovedall subs proved bar-at, bar-empty, bar-len-02, is_arrayref,
getbytearray-oneprovedall subs proved getbar-one, getByteArray-all,
getbytearray-length-zeroprovedall subs proved bar-zero,
getbar-restn-04provedall subs proved bar-restn, bar-len-02,
getbar-restn-02provedall subs proved bar-len-02, bar-restn, getByteArray-all,
getbar-restnprovedall subs proved getbar-len-01, bar-length,
getbar-modprovedall subs proved getbar-mod-01, getByteArray-all,
getbar-lengthprovedall subs proved getbar-len-01, bar-length,
getbar-5recprovedall subs proved getarray-offset-02, getByteArray,
getbar-3recprovedall subs proved getarray-offset-02, getByteArray,
getbar-2recprovedall subs proved getarray-offset-02, getByteArray,
getba-neqprovedall subs proved getba-neq-01, getByteArray-all,
getarray-inprovedall subs proved get-empty, getArray-all, getarray-length, getarray-get,
comp-copyprovedall subs proved copy-between, copy-at, get-alleq, Comp-get-02,
arrayComp-08provedall subs proved get-alleq, Comp-get-02,
arrayComp-05provedall subs proved get-alleq, Comp-get-02,
putbytearray-subset-new-01provedall subs proved putarray-subset-new-01, putByteArray,
putbar-put-overrideprovedall subs proved putByteArray-put-switch-01, putBar-empty, putBar-rec,
putbar-byteprovedall subs proved putar-at, putByteArray,
putBar-at-fskeyprovedall subs proved putBar-at, putbar-atref-01,
getintarray-lengthprovedall subs proved get-length-01, getintarray,
getintarray-empty-02provedall subs proved getintarray-empty, getintarray-empty-01, getintarray-rec-first,
getbar-oneprovedall subs proved bar-empty-01, getbar-rec,
bar-zeroprovedall subs proved bar-empty-01, bar-empty, getbar-rec, getByteArray-all,
getbar-mod-01provedall subs proved extension,
bar-lengthprovedall subs proved get-length-01, getByteArray, getByteArray-all,
getba-neq-01provedall subs proved bar-empty-01, getbar-rec,
getarray-offset-02provedall subs proved getArray-one, getarray-offset,
getarray-lengthprovedall subs proved get-length-01, getArray-all,
getbar-anyrecprovedall subs proved bytevalues, getarray-offset, getByteArray,
bar-neqprovedall subs proved get-length-01, bytevalues, getarray-offset, getByteArray,
bar-len-02provedall subs proved get-length-01, getByteArray,
Comp-get-02provedall subs proved Comp-get, arrayComp, Comp-get-01,
bar-at-01provedall subs proved bar-at, getByteArray-all,
copy-succprovedall subs proved copy-in-upper, copy-in-upper-01, copy-in-lower, copy-in-between, copy-in, copy-upper, copy-lower, copy-between, copy-at, copy-upper-01, copy-infs, copy-atfield, arrayCopy-rec,
extension-01provedall subs proved extension, getByteArray-all,
get-eqexprovedall subs proved get-eqex-01,
get-sublistprovedall subs proved get-rec-01, get-rest, get-first, get-empty, get-zero,
getByteArray-put-01provedall subs proved getByteArray-put,
getar-putbarprovedall subs proved getar-putbar-01, putBar-empty, putByteArray-all,
getarray-length-01provedall subs proved get-length-01,
getarray-offset-01provedall subs proved getArray-zero, getArray-one, getarray-offset,
getarray-put-07provedall subs proved getarray-put-06, getarray-put-other,
getarray-union-01provedall subs proved getarray-union-02,
getba-eqprovedall subs proved bar-empty, bar-empty-01, getbar-rec,
getbar-lenprovedall subs proved get-length-01, getByteArray, getByteArray-all,
getbar-modeprovedall subs proved get-put-02,
getbar-put-03provedall subs proved getbar-put-01,
getbar-put-04provedall subs proved get-put-02,
getbar-putbarprovedall subs proved putbar-getbar-03, putBar-empty, putByteArray-all,
getbytearray-putprovedall subs proved get-put, getByteArray-put,
getintarray-in-01provedall subs proved getintarray-in,
getintarray-in-02provedall subs proved getintarray-empty, getintarray-empty-01, getintarray-rec-last,
getintarray-oneprovedall subs proved getintarray-empty, getintarray-rec-last,
getintarray-subsetprovedall subs proved getintarray-subset-01, getintarray-def, is_arrayref,
putArray-at-inprovedall subs proved putar-at,
putarray-lengthprovedall subs proved putarray-field,
putarray-modeprovedall subs proved putarray-field,
putarray-subset-newprovedall subs proved putarray-subset-new-01, putArray-all,
putarray-typeprovedall subs proved putarray-field,
putbytearray-inprovedall subs proved putBar-in,
Comp-getprovedall subs proved get-get, arrayComp,
copy-in-lowerprovedall subs proved copy-in-between, arrayCopy-base, arrayCopy-rec,
copy-lowerprovedall subs proved copy-between, arrayCopy-base, arrayCopy-rec,
get-eqex-01provedall subs proved get-del,
get-firstprovedall subs proved get-zero, get-empty, getArray-one, getArray-rec,
getar-putbar-01provedall subs proved getarray-put-other, putBar-rec, putBar-empty,
getarray-getprovedall subs proved get-get, get-length, get-empty, getArray-all,
getarray-put-06provedall subs proved getarray-put-03, getArray-all, getarray-put-other,
getarray-union-02provedall subs proved getarray-union-03,
getarray-offsetprovedall subs proved get-empty, get-zero, getArray-one, getArray-zero, getArray-rec,
extensionprovedall subs proved get-zero, get-empty, getArray-zero, get-rec-01, getByteArray,
getbar-put-01provedall subs proved get-put,
get-put-02provedall subs proved get-put,
putbar-getbar-03provedall subs proved putar-getar-02, getByteArray, putar-atref, getByteArray-all, putByteArray,
getByteArray-putprovedall subs proved getbar-ref, getByteArray-all,
bar-atprovedall subs proved get-get, get-length, getByteArray,
getintarray-inprovedall subs proved get-get, get-length, get-empty, getintarray, getintarray-def,
get-length-01provedall subs proved get-zero, get-length,
getintarray-emptyprovedall subs proved get-zero, getintarray,
getintarray-rec-lastprovedall subs proved get-zero, getArray-one, getArray-rec, getintarray,
getintarray-subset-01provedall subs proved getarray-subset, getintarray, is_arrayref,
putBar-atprovedall subs proved putArray-at, putByteArray,
putbar-atother-01provedall subs proved putar-atother, putByteArray,
putarray-fieldprovedall subs proved putar-atref, putArray-at, putArray-rec, putArray-empty,
putar-atprovedall subs proved putar-atother, putArray-rec, putArray-empty,
bar-empty-01provedall subs proved get-zero, getByteArray,
putByteArray-put-switch-01provedall subs proved putByteArray-put-switch, putBar-rec,
putBar-inprovedall subs proved putArray-in, putByteArray,
putarray-subset-new-01provedall subs proved putArray-in, putar-inref, putar-atref,
stsub-copyprovedall subs proved copy-in-01, copy-in, copy-at,
putbytearray-initprovedall subs proved pubBar-init,
putbar-inref-01provedall subs proved putbar-inref, putByteArray-all,
putbar-inother-01provedall subs proved putar-inother, putByteArray, putByteArray-all,
putbar-inotherprovedall subs proved putar-inother, putByteArray,
putbar-infs-01provedall subs proved putbar-infs, putByteArray-all,
putbar-getbar-02provedall subs proved putar-getar-02, putByteArray, getByteArray,
putbar-getbar-01provedall subs proved putar-getar-01, putByteArray, getByteArray,
putbar-atotherprovedall subs proved putar-atother, putByteArray, putByteArray-all,
putByteArray-appendprovedall subs proved putByteArray-put-switch, putBar-rec, putBar-empty,
putArray-putprovedall subs proved putArray-put-switch, putAr-lastrec, putArray-rec, putArray-one, putArray-empty,
isarrayref-putbar-otherprovedall subs proved putbar-inref, is_arrayref,
getintarray-put-other-01provedall subs proved getintarray-put-other, getintarray-def,
getbar-restn-03provedall subs proved bar-restn, getByteArray-all,
getbar-lastrecprovedall subs proved bytevalues, get-zero, getArray-one, getArray-rec, getByteArray,
getarray-supersetprovedall subs proved is_arrayref, getarray-subset,
getarray-putbarprovedall subs proved getarray-putbar-01, getarray-put-02, putBar-rec, putBar-empty, putByteArray-all,
getarray-copy-01provedall subs proved getarray-copy-02,
getarray-copyprovedall subs proved getarray-copy-02, copy-length, getArray-all,
getar-atprovedall subs proved get-length, getByteArray, get-get,
getArray-rec-01provedall subs proved get-zero, getArray-one, getArray-rec,
get-rest-01provedall subs proved get-rest,
get-put-05provedall subs proved get-put,
get-eqex-02provedall subs proved get-eqex-03,
get-ateq-01provedall subs proved get-ateq,
copy-refprovedall subs proved copy-in-01,
copy-bet-betprovedall subs proved copy-bet-up, copy-upper, arrayCopy-rec,
copy-at-01provedall subs proved copy-ident, copy-between,
copy-arrefprovedall subs proved copy-in, is_arrayref,
bar-len-01provedall subs proved get-zero, getArray-one, getByteArray,
at=get-offsetprovedall subs proved get-zero, get-length, getArray-one, getArray-rec,
pubBar-initprovedall subs proved putBar-rec, putBar-empty,
putar-inotherprovedall subs proved putar-inref, putArray-rec, putArray-empty,
putbar-infsprovedall subs proved putar-infs, putByteArray,
putar-getar-02provedall subs proved getarray-put-02, putArray-rec, putArray-empty,
putar-getar-01provedall subs proved getarray-put-02, putar-atref, getArray-zero, get-rec-01, putArray-rec, putArray-empty,
putar-atotherprovedall subs proved putar-atref, putArray-rec, putArray-empty,
putByteArray-put-switchprovedall subs proved putBar-rec, putBar-empty,
putBar-oneprovedall subs proved putBar-empty, putBar-rec,
putArray-inprovedall subs proved putar-inref, putar-rew, putArray-rec, putArray-empty,
putbar-atref-01provedall subs proved putar-atref, putByteArray,
putArray-atprovedall subs proved putar-atfs,
putAr-lastrecprovedall subs proved putArray-rec, putArray-empty, putar-rew,
putbar-inrefprovedall subs proved putar-inref, putByteArray,
getintarray-put-otherprovedall subs proved getarray-put-02, getintarray,
getintarray-rec-firstprovedall subs proved get-rec-01, getintarray,
getintarray-empty-01provedall subs proved get-empty, getintarray,
get-length-02provedall subs proved get-empty,
bar-restnprovedall subs proved get-rec-01, getByteArray,
getbar-len-01provedall subs proved get-empty, getByteArray, getByteArray-all,
getarray-union-03provedall subs proved getArray-zero, get-rec-01,
getarray-subsetprovedall subs proved get-alleq, is_arrayref,
getarray-putbar-01provedall subs proved getarray-put-02, putBar-rec, putBar-empty,
copy-lengthprovedall subs proved copy-atfield,
getarray-copy-02provedall subs proved copy-at, get-alleq,
getarray-put-otherprovedall subs proved getarray-put-02, getArray-all,
getbar-refprovedall subs proved getarray-put-02, getByteArray,
get-restprovedall subs proved get-empty, getArray-one, getArray-zero, getArray-rec,
get-putprovedall subs proved getByteArray, get-put-01, getByteArray-all,
get-eqex-03provedall subs proved get-alleq,
get-delprovedall subs proved get-del-01, getArray-all,
get-ateqprovedall subs proved get-alleq,
copy-upper-01provedall subs proved copy-upper,
copy-in-upper-01provedall subs proved copy-in-upper,
copy-in-01provedall subs proved arrayCopy-base, arrayCopy-rec, copy-in-02,
copy-in-betweenprovedall subs proved copy-zero, copy-in-upper, arrayCopy-rec,
copy-bet-upprovedall subs proved copy-upper, arrayCopy-rec,
copy-inprovedall subs proved arrayCopy-base, arrayCopy-rec, copy-infs,
copy-betweenprovedall subs proved copy-upper, arrayCopy-rec,
getbar-recprovedall subs proved get-rec-01, getByteArray,
bar-emptyprovedall subs proved get-empty, getByteArray,
get-zeroprovedall subs proved get-empty,
get-getprovedall subs proved get-length, getArray-one, getArray-rec,
at=getprovedall subs proved get-length, getArray-one, getArray-rec,
copy-bet-lowprovedall subs proved copy-ident, copy-upper, arrayCopy-rec,
copy-length-02provedall subs proved copy-infs,
copy-modeprovedall subs proved copy-atfield,
copy-mode-01provedall subs proved copy-infs,
copy-typeprovedall subs proved copy-infs,
copy-type-01provedall subs proved copy-atfield,
get-length-04provedall subs proved get-length,
get-put-03provedall subs proved getByteArray, get-put-01,
get-put-04provedall subs proved getByteArray, get-put-01,
get-puteqprovedall subs proved get-alleq,
getarray-put-04provedall subs proved getarray-put-03,
isarrayref-putprovedall subs proved is_arrayref, arrayref-02,
putAr-get-other-01provedall subs proved putar-atref, putArray-rec, putArray-empty,
putBar-rew-01provedall subs proved putBar-rec, putBar-empty,
putBar-unrecprovedall subs proved putBar-rec,
putbar-atfsprovedall subs proved putar-atfs, putByteArray, putByteArray-all,
putbar-atfs-01provedall subs proved putar-atfs, putByteArray,
putbar-atrefprovedall subs proved putar-atref, putByteArray, putByteArray-all,
putbar-inprovedall subs proved putar-in, putByteArray,
putbar-in-01provedall subs proved putar-in-01, putByteArray,
putbar-in-02provedall subs proved putar-in-02, putByteArray,
putbar-refvalprovedall subs proved putBar-rec, putBar-empty,
Comp-get-01provedall subs proved getArray-one, getArray-zero, getArray-rec, arrayComp,
copy-identprovedall subs proved arrayCopy-base, arrayCopy-rec,
copy-in-02provedall subs proved arrayCopy-base, arrayCopy-rec,
copy-zeroprovedall subs proved arrayCopy-base,
copy-in-upperprovedall subs proved arrayCopy-base, arrayCopy-rec,
copy-infsprovedall subs proved arrayCopy-base, arrayCopy-rec,
copy-atfieldprovedall subs proved arrayCopy-base, arrayCopy-rec,
copy-upperprovedall subs proved arrayCopy-base, arrayCopy-rec,
get-del-01provedall subs proved getArray-one, getArray-rec, getArray-zero,
getarray-put-03provedall subs proved getArray-one, getArray-zero, getArray-rec,
get-alleqprovedall subs proved getArray-one, getArray-zero, getArray-rec,
get-put-01provedall subs proved bytevalues, getArray-one, getArray-zero, getArray-rec, getByteArray,
get-lengthprovedall subs proved getArray-one, getArray-rec,
get-emptyprovedall subs proved getArray-one, getArray-rec, getArray-zero,
arrayref-02provedall subs proved is_arrayref,
putar-rewprovedall subs proved putArray-rec, putArray-empty,
putArray-put-switchprovedall subs proved putArray-rec, putArray-empty,
putArray-oneprovedall subs proved putArray-empty, putArray-rec,
get-rec-01provedall subs proved getArray-one, getArray-zero, getArray-rec,
getarray-put-02provedall subs proved getArray-one, getArray-zero, getArray-rec,
putar-atfsprovedall subs proved putArray-rec, putArray-empty,
putar-atrefprovedall subs proved putArray-rec, putArray-empty,
putar-inprovedall subs proved putArray-rec, putArray-empty,
putar-in-01provedall subs proved putArray-rec, putArray-empty,
putar-in-02provedall subs proved putArray-rec, putArray-empty,
putar-infsprovedall subs proved putArray-rec, putArray-empty,
putar-inrefprovedall subs proved putArray-rec, putArray-empty,
putBar-recprovedall subs proved putArray-rec, putByteArray,
putBar-emptyprovedall subs proved putArray-empty, putByteArray,
copy-atprovedall subs proved arrayCopy-base, arrayCopy-rec,
putArray-put-switch-02provedall subs proved putArray-rec, putArray-empty,
putArray-put-switch-01provedall subs proved putArray-rec, putArray-empty,
putArray-appendprovedall subs proved putArray-rec, putArray-empty,
putAr-get-otherprovedall subs proved putArray-rec, putArray-empty,
isarrayref-modprovedall subs proved is_arrayref,
isarrayref-delprovedall subs proved is_arrayref,
isarray-03provedall subs proved is_arrayref,
isarray-02provedall subs proved is_arrayref,
isarray-01provedall subs proved is_arrayref,
isarrayprovedall subs proved is_arrayref,
is_arrayref-03provedall subs proved is_arrayref,
is_arrayref-02provedall subs proved is_arrayref,
is_arrayref-01provedall subs proved is_arrayref,
getintarray-max-lenprovedall subs proved getintarray-def,
getintarray-length-rewprovedall subs proved getintarray-def,
getarray=getbytearrayprovedall subs proved getByteArray,
getarray-in-01provedall subs proved getArray-one, getArray-rec,
get-length-03provedall subs proved getArray-zero,
copy-newprovedall subs proved arrayCopy-base, arrayCopy-rec,
copy-init-02provedall subs proved arrayCopy-base, arrayCopy-rec,
copy-init-01provedall subs proved arrayCopy-base, arrayCopy-rec,
copy-initprovedall subs proved arrayCopy-base, arrayCopy-rec,
comp-nextprovedall subs proved arrayComp,
comp-negativeprovedall subs proved arrayComp,
bar-lenprovedall subs proved getArray-one, getArray-zero, getByteArray,
arrayref-01provedall subs proved is_arrayref,
arrayrefprovedall subs proved is_arrayref,
arrayComp-07provedall subs proved arrayComp,
arrayComp-06provedall subs proved arrayComp,
arrayComp-04provedall subs proved arrayComp,
arrayComp-03provedall subs proved arrayComp,
arrayComp-02provedall subs proved arrayComp,
arrayComp-01provedall subs proved arrayComp,
putArray-allaxiom
putByteArrayaxiom
putArray-emptyaxiom
putArray-recaxiom
getintarray-defaxiom
getintarrayaxiom
putByteArray-allaxiom
getArray-allaxiom
arrayCopy-recaxiom
arrayCopy-baseaxiom
bytevaluesprovedall subs proved
getByteArray-allaxiom
getByteArrayaxiom
is_arrayrefaxiom
getArray-recaxiom
getArray-zeroaxiom
getArray-oneaxiom
arrayCompaxiom