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Lemma dependency for Specification list-del

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:
lastN-dups-01provedall subs proved lastN-all, lastN-dups,
lastN-dupsprovedall subs proved lastN-all, lastN-append-01,
firstN-dups-01provedall subs proved firstN-dups-03,
firstN-dupsprovedall subs proved firstN-dups-02,
firstn-at-in-dupsprovedall subs proved get-firstn, first-length, in-get, dups-def, firstN-in-05,
sublist-mklist-01provedall subs proved sublist-mklist, sublist-append,
sublist-appendprovedall subs proved sublist-def, first-append-01, rest-append,
sublist-mklistprovedall subs proved first-mklist, rest-mklist-01, sublist-def,
lastN-append-01provedall subs proved lastN-rec-02,
firstN-in-05provedall subs proved firstN-in-01,
firstN-dups-02provedall subs proved firstN-in-04, firstN-dups-04,
firstN-dups-03provedall subs proved firstN-in-04, firstN-dups-04,
lastn-firstn-in-01provedall subs proved firstN-lastN-in,
firstn-restn-inprovedall subs proved rest-in, rest-in-01, elim-firstn-restn, firstN-in, restN-rec, firstN-rec, restN-zero, firstN-zero,
firstN-dups-05provedall subs proved firstN-dups-04,
lastn-firstn-inprovedall subs proved firstN-lastN-in,
firstN-lastN-in-01provedall subs proved firstN-lastN-in,
sublist-moveprovedall subs proved first-append-01, rest-append, elim-firstn-restn, restN-rec, firstn-firstn, firstN-rec, first-num, rest-rec, firstN-zero, restN-zero, sublist-def,
lastn-restnprovedall subs proved lastN-rec-02, rest-rec, lastN-zero, restN-zero,
lastn-mklistprovedall subs proved lastn-mklist-03, lastN-rec-02, lastN-zero,
restn-less-2provedall subs proved restN-rec, restn-less,
restn-lessprovedall subs proved restN-len, get-last-04, elim-firstn-restn, get-succ, restN-zero, get-zero, restN-rec,
rest-mklist-01provedall subs proved rest-mklist,
dups-defprovedall subs proved get-in, get-nodups, get-zero, in-get, get-succ,
lastn-mklist-03provedall subs proved lastN-all,
lastN-rec-02provedall subs proved lastN-rest,
first-append-01provedall subs proved rest-len, first-append,
firstN-in-04provedall subs proved firstN-in,
firstN-dups-04provedall subs proved firstN-in, firstN-rec, firstN-zero,
rest-in-01provedall subs proved rest-in,
firstN-in-01provedall subs proved firstN-in,
firstN-lastN-inprovedall subs proved firstN-lastN,
lastn-mklist-02provedall subs proved lastN-append,
sub-len-01provedall subs proved firstn-length-04, first-append, restN-zero, sublist-def,
del-rmdup-01provedall subs proved del-rmdup,
lastN-rest-01provedall subs proved lastN-append,
firstN-in-02provedall subs proved firstN-in,
firstN-in-03provedall subs proved firstN-in,
dups-first-last-splitprovedall subs proved firstn-last-eq,
pos-get-01provedall subs proved pos-get,
put-firstn-restnprovedall subs proved first-all-01, put-one, firstN-len, put-last, put-app-right, put-app-left, first-append, put-succ, firstN-zero, put-zero, firstN-rec-01, elim-firstn-restn, restN-rec,
elim-lastn-butlastnprovedall subs proved restN-len, lastn-restn-01, firstN-len, blastN-firstN, lastn-length-01, lastN-blastN,
firstn-butlast-introprovedall subs proved first-append,
nodups-rmposnodupsprovedall subs proved rmtoobigpos, rmpos-in, delpos-rec, delpos-base, delpos-empty,
first-mklist-02provedall subs proved first-mklist-04, first-append,
firstn-lastprovedall subs proved get-last-04, elim-firstn-restn, get-succ, get-zero, firstN-zero, firstN-rec,
get-nodupsprovedall subs proved get-in, get-zero, get-numrec,
lastN-restprovedall subs proved restN-rec, lastn-restn-01,
rest-mklistprovedall subs proved rest-mklist-03,
in-getprovedall subs proved get-app, get-in,
rmpos-inprovedall subs proved get-in, delpos-rec, delpos-base, get-zero, get-append-grt, one-03, delnr-one,
get-last-04provedall subs proved get-last, get-append-less, get-numrec, get-zero,
lastn-length-01provedall subs proved rest-len, lastn-restn-01,
pos-getprovedall subs proved get-in, pos-n, pos-y, get-zero, get-append-grt,
firstN-lastNprovedall subs proved restN-rec, firstN-rec-01, restN-zero, firstN-zero, lastn-restn-01,
firstn-last-eqprovedall subs proved firstn-restn-eq, lastn-restn-01,
rest-inprovedall subs proved elim-firstn-restn, restN-rec, restN-zero,
firstN-inprovedall subs proved elim-firstn-restn, firstN-rec-01, firstN-zero,
del-rmdupprovedall subs proved in-del-new, del-n, in-03, del-y, del-e,
first-appendprovedall subs proved firstN-len, elim-firstn-restn, firstN-rec, firstN-zero,
lastN-appendprovedall subs proved restN-len, lastn-restn-01,
lastN-allprovedall subs proved restN-zero, lastn-restn-01,
lastn-mklist-01provedall subs proved restN-len, lastn-restn-01,
rmdup-lastprovedall subs proved in-del-new, del-n, del-y, del-e,
get-last-nonemptyprovedall subs proved get-last2,
sublist-atprovedall subs proved get-restn, rest-len, get-firstn, sublist-def,
lastN-exprovedall subs proved first-length, lastn-restn-01, lastN-zero, firstrestex,
get-revprovedall subs proved one-03, get-butlast, get-append-grt, get-zero, get-append-less,
get-last-03provedall subs proved get-last,
delete-dupsprovedall subs proved in-del-new, del-n, in-03, del-y, del-e,
put-sw-inprovedall subs proved put-in, get-in, put-succ, put-zero, get-zero, get-rec,
rmdup-del1-delprovedall subs proved del1-n, in-del-new, del-n, in-03, del1-y, del-y, del-e, del1-e,
sublist-two-numprovedall subs proved sublist-def, sublist-first-skip, restN-zero,
put-in-01provedall subs proved del1-n, put-in, get-in, get-succ, put-zero, get-zero, put-rec, del1-y, del1-e,
del-rmdup-length-nleprovedall subs proved in-03, size-rmdup-del,
size-rmdup-delprovedall subs proved in-01, in, del-n, in-03, del-y, del-e,
sublist-first-skipprovedall subs proved rest-len, firstn-firstn, restn-firstn-better, sublist-def,
first-mklist-04provedall subs proved first-all-01,
rest-mklist-03provedall subs proved rest-mklist-02,
get-lastprovedall subs proved get-succ, one-03,
get-append-lessprovedall subs proved get-succ, get-zero, get-rec,
get-butlastprovedall subs proved get-succ, get-rec, one-03, get-zero,
get-firstnprovedall subs proved get-succ, get-zero, firstN-rec, get-rec, firstN-zero, one-03, firstn-one-02,
lastN-blastNprovedall subs proved num-lastN, lastN-zero,
get-inprovedall subs proved get-zero, get-rec,
elim-firstn-restnprovedall subs proved restN-len, firstN-len, first-length, firstn-restn-eq,
get-last2provedall subs proved get-succ, one-03,
in-del-newprovedall subs proved in, in-01,
lastn-restn-01provedall subs proved restN-append, lastN-rec, rest-empty, lastN-zero,
del-rev-01provedall subs proved del-rev,
restn-atprovedall subs proved get-restn,
at-lastprovedall subs proved get-rec, one-03,
put-sameprovedall subs proved putset-same,
sublist-lenrecprovedall subs proved get-rec-01, sub-rec-01, restN-zero, sublist-def, firstN-rec, sublist-lenrec-01,
firstn-prefix-02provedall subs proved firstn-prefix,
firstn-prefix-03provedall subs proved firstn-prefix,
put-butlastprovedall subs proved put-app-left,
firstn-prefix-04provedall subs proved firstn-prefix, firstN-rec,
lastn-neqprovedall subs proved lastN-in-01,
lastN-inprovedall subs proved lastN-in-01,
put-atprovedall subs proved get-zero, get-succ, get-rec, put-zero, put-rec,
sublist-restn-02provedall subs proved rest-len, first-all-01, sublist-def,
restn-size-lastprovedall subs proved restN-len, restN-rec, restN-zero,
dupsprovedall subs proved del1-in, del1-n, del1-y, del1-e,
sublist-append-02-01provedall subs proved restN-zero, sublist-def, sublist-append-02,
restn-prefixprovedall subs proved restN-len,
sublist-allprovedall subs proved sub-zero,
get-mklistprovedall subs proved get-mklist-01, one-03, get-rec,
get-last-01provedall subs proved get-succ, one-03,
rest-subprovedall subs proved restN-rec, first-all-01, restN-zero, sublist-def,
sublist-emptyprovedall subs proved sub-zerozero, firstN-empty, restN-zero, sublist-def,
first-mklist-01provedall subs proved first-mklist,
first-mklist-03provedall subs proved first-mklist,
sub-lenprovedall subs proved firstn-length-04, restN-zero, sublist-def,
put-del1-inprovedall subs proved del1-n, put-in-02, put-in, get-succ, get-zero, del1-y, put-zero, put-rec,
sublist-lastprovedall subs proved restN-rec, restn-apprec, rest-rest1, get-rec-01, restn-first-get, firstN-zero, firstN-rec, sublist-def,
sublist-prefixprovedall subs proved restN-rec, restn-apprec, rest-rest1, first-num, firstN-zero, firstN-rec, sublist-def,
lastn-neq-01provedall subs proved lastN-in-01, lastN-rec, lastN-zero,
sublist-mklist-02provedall subs proved first-mklist, restN-zero, sublist-def,
lastn-one-01provedall subs proved lastn-one,
sublist-goodprovedall subs proved firstN-len, restN-len, sublist-def,
lastn-oneprovedall subs proved lastN-zero, lastn-rec,
rest-mklist-02provedall subs proved rest-mklist-04, restN-append,
restn-first-getprovedall subs proved get-succ, get-zero, restN-zero, rest-rec,
rest-rest1provedall subs proved restN-zero, rest-rec,
put-in-02provedall subs proved put-zero, put-rec,
first-mklistprovedall subs proved firstN-rec-01, firstN-zero,
put-inprovedall subs proved get-succ, get-zero, put-zero, put-rec,
sub-zerozeroprovedall subs proved firstN-zero, restN-zero, sublist-num,
firstn-one-02provedall subs proved firstN-zero, first-num,
get-mklist-01provedall subs proved get-rec-01, get-zero-01,
rest-appendprovedall subs proved restN-append,
blastN-firstNprovedall subs proved firstN-rec-01, firstN-zero,
put-lastprovedall subs proved put-one, put-app-right,
sub-zeroprovedall subs proved first-all, restN-zero, sublist-def,
sublist-append-02provedall subs proved firstn-app, restN-zero, sublist-def,
del1-inprovedall subs proved in-01-01, in-04,
first-all-01provedall subs proved first-all,
in-01provedall subs proved del-n, del-y, del-e, in-02,
lastN-in-01provedall subs proved lastn-rec, lastN-zero,
put-app-leftprovedall subs proved put-succ, put-zero, put-rec-02,
firstn-prefixprovedall subs proved firstN-zero, firstN-rec-01, firstN-empty,
sublist-lenrec-01provedall subs proved get-succ, firstN-rec, get-zero, firstN-zero, restN-zero, sublist-def, sub-zerorec-01,
sub-rec-01provedall subs proved sublist-def, sub-rec,
num-lastNprovedall subs proved lastN-rec-01,
putset-sameprovedall subs proved put-succ, get-rec-01, put-zero, get-zero-01,
one-03provedall subs proved get-zero-01,
get-recprovedall subs proved get-rec-01,
get-restnprovedall subs proved get-rec-01, restN-rec, restN-zero,
firstn-length-04provedall subs proved first-length,
del-revprovedall subs proved in-03, del-n, one, del-append, del-y, del-e,
firstn-firstnprovedall subs proved firstN-rec-01, firstN-empty, firstN-rec, firstN-zero,
restN-lenprovedall subs proved restN-all, restN-append,
rest-emptyprovedall subs proved restN-all,
rmpos-sizeprovedall subs proved delpos-rec, delpos-base, delnr-one,
sublist-restnprovedall subs proved sublist-def, restn-apprec,
delete-one-leprovedall subs proved delete-one-nls,
lenprovedall subs proved len-01,
firstn-butlastprovedall subs proved firstN-zero, firstN-rec-01, firstN-rec, firstN-empty,
rmpos-getprovedall subs proved get-zero-01, get-succ, get-zero, get-append-grt, delpos-rec, delpos-base, get-rec-01,
firstn-allprefixprovedall subs proved firstN-len,
in-delprovedall subs proved in, in-02,
sublist-partprovedall subs proved restN-rec, first-all, firstN-rec, first-num, firstN-zero, restN-zero,
firstn-twiceprovedall subs proved firstN-rec, firstN-rec-01, firstN-zero,
del-one-simpprovedall subs proved in-03,
sublist-oneprovedall subs proved get-rec-01, restN-rec, get-zero-01, restN-zero, firstN-zero, first-num, sublist-def,
in-05provedall subs proved in-04,
stprovedall subs proved sw-02,
firstn-append-01provedall subs proved firstN-zero, firstN-rec-01, firstN-rec, firstN-empty,
sublist-restn-01provedall subs proved sublist-def, restn-apprec,
firstn-firstprovedall subs proved firstN-rec-01, firstN-empty,
sw-01provedall subs proved sw,
size-del-nodupsprovedall subs proved del-n, in-03, del-y, del-e,
sublist-length-01provedall subs proved first-length, restN-zero, sublist-def,
put-lengthprovedall subs proved put-zero, put-rec,
sublist-one-01provedall subs proved firstN-zero, first-num, restN-zero, sublist-num,
firstn-length-02provedall subs proved first-length,
firstn-length-03provedall subs proved first-length,
restn-nonempty-2provedall subs proved restN-zero, rest-rec,
firstn-length-01provedall subs proved first-length,
firstn-twoprovedall subs proved firstN-zero, first-num,
lastn-lastn-01provedall subs proved lastn-rec, lastN-zero,
sublist-not-empty-01provedall subs proved firstN-empty, sublist-def,
sublist-not-empty-02provedall subs proved firstN-zero, first-num, sublist-def,
restN-dupsprovedall subs proved rest-rec, restN-zero,
firstn-last-recprovedall subs proved get-rec-01, get-zero-01, firstN-zero, firstN-rec,
put-one-01provedall subs proved put-one, put-rec,
firstn-oneprovedall subs proved firstN-zero, first-num,
put-at-eqprovedall subs proved get-succ, get-zero, put-zero, put-rec-02,
inl-01provedall subs proved inl, pos-n, pos-y,
sublist-lengthprovedall subs proved first-length, sublist-def,
sublist-append-01-01provedall subs proved sublist-def, sublist-append-01,
firstn-lengthprovedall subs proved first-length,
rest-twoprovedall subs proved rest-one, rest-rec,
del1-emptyprovedall subs proved del1-n, del1-y, one-01,
firstn-appendprovedall subs proved firstN-zero, firstN-empty, firstN-rec,
firstn-app-01provedall subs proved firstn-app,
firstn-app-02provedall subs proved firstn-app,
firstn-app-exactprovedall subs proved firstN-len,
l-02provedall subs proved l, del1-n, del1-y, del1-e, in-02-01,
l-01provedall subs proved in-02-01, l,
sublist-append-04provedall subs proved restN-rec, firstN-rec, first-num, rest-rec, firstN-zero, restN-zero, sublist-def,
sublist-append-03provedall subs proved firstN-len, restN-zero, sublist-def,
restn-appprovedall subs proved rest-app,
restn-restnprovedall subs proved restn-apprec,
restn-nonemptyprovedall subs proved rest-rec, restN-zero,
firstn-one-01provedall subs proved firstN-zero, first-num,
get-append-grt-02provedall subs proved get-append-grt,
del-del1-nodupsprovedall subs proved del1-n, del-n, del1-y, in-03, del-y, del1-e, del-e,
possize-notinprovedall subs proved pos-n, pos-y, pos-e, notin-03,
lastn-neq-02provedall subs proved lastn-length,
sublist-firsteqprovedall subs proved firstN-rec, firstN-zero, restN-zero, sublist-def, first-length,
restn-emptyprovedall subs proved rest-rec, restN-all, restN-rec, restN-zero,
lastn-lastnprovedall subs proved lastN-rec-01, lastN-rec, lastN-zero,
sub-zerolen-01provedall subs proved sub-zerolen,
sub-zerolen-02provedall subs proved sub-zerolen,
lastn-appprovedall subs proved lastN-rec, lastN-zero, lastn-rec,
firstn-last-01provedall subs proved firstN-zero, firstN-rec, firstN-empty,
restn-lastprovedall subs proved rest-rec, restN-zero,
dups-01provedall subs proved del1-n, del1-y, del1-e, in-01-01,
rest-two-01provedall subs proved rest-one-01, rest-rec,
get-appprovedall subs proved get-succ, get-zero,
rest-one-01provedall subs proved restN-zero, restN-rec,
sub-zerolenprovedall subs proved firstN-zero, sublist-def,
sub-recprovedall subs proved sublist-def, restN-rec,
del-appendprovedall subs proved del-n, del-y, del-e,
oneprovedall subs proved del-e, del-y,
lastn-lengthprovedall subs proved lastN-rec, lastN-zero,
rest-mklist-04provedall subs proved restN-rec, restN-zero,
notin-03provedall subs proved pos-n, pos-e,
rest-appprovedall subs proved restN-rec,
lastN-rec-01provedall subs proved lastN-rec,
in-02-01provedall subs proved del1-n, del1-e,
lprovedall subs proved del1-n, del1-y, del1-e,
firstn-appprovedall subs proved firstN-rec,
one-01provedall subs proved del1-y,
rmtoobigposprovedall subs proved delpos-rec, delpos-base, delpos-empty,
rest-oneprovedall subs proved restN-zero, restN-rec,
get-numrecprovedall subs proved get-succ,
sublist-append-01provedall subs proved restN-rec, sublist-def,
firstrestexprovedall subs proved restN-rec, firstN-rec, restN-zero, firstN-zero,
inlprovedall subs proved pos-n, pos-y,
put-rec-02provedall subs proved put-succ,
restN-allprovedall subs proved restN-rec, restN-zero,
lastn-recprovedall subs proved lastN-rec,
in-01-01provedall subs proved del1-n, del1-y, del1-e,
rest-recprovedall subs proved restN-rec,
put-app-rightprovedall subs proved put-succ,
put-oneprovedall subs proved put-zero,
first-lengthprovedall subs proved firstN-rec, firstN-zero,
swprovedall subs proved del-n, del-y, del-e,
put-recprovedall subs proved put-succ,
sw-02provedall subs proved del1-n, del1-y, del1-e,
firstn-restn-eqprovedall subs proved restN-rec, firstN-rec, restN-zero, firstN-zero,
in-04provedall subs proved del1-y, del1-n,
sublist-numprovedall subs proved sublist-def,
in-03provedall subs proved del-n, del-e,
first-numprovedall subs proved firstN-rec,
first-allprovedall subs proved firstN-rec, firstN-zero,
in-02provedall subs proved del-n, del-y, del-e,
inprovedall subs proved del-y, del-n,
firstN-lenprovedall subs proved firstN-rec, firstN-zero,
get-rec-01provedall subs proved get-succ,
get-append-grtprovedall subs proved get-succ,
get-zero-01provedall subs proved get-zero,
firstN-emptyprovedall subs proved firstN-rec, firstN-zero,
firstN-rec-01provedall subs proved firstN-rec,
len-01provedall subs proved pos-n, pos-y, pos-e,
delete-one-nlsprovedall subs proved del1-n, del1-y, del1-e,
restn-apprecprovedall subs proved restN-rec, restN-zero,
delnr-oneprovedall subs proved delpos-base,
restn-firstn-betterprovedall subs proved restN-rec, firstN-rec, restN-zero,
rest-lenprovedall subs proved restN-rec, restN-zero,
sub-zerorec-01provedall subs proved restN-zero, sublist-def, firstN-rec,
restN-appendprovedall subs proved restN-rec, restN-zero,
from-restprovedall subs proved restN-rec, pos-n, fromE-no, pos-y, fromE-yes, restN-zero, pos-e, fromE-empty,
appprovedall subs proved del1-n, del1-y, del1-e,
sublist-not-emptyprovedall subs proved firstN-rec, sublist-def,
from-notinprovedall subs proved fromE-no, fromE-empty,
delpos-inprovedall subs proved delpos-rec, delpos-base, delpos-empty,
restn-restprovedall subs proved restN-zero, restN-rec,
lastN-emptyprovedall subs proved lastN-rec, lastN-zero,
firstn-restnprovedall subs proved sublist-def,
first-subprovedall subs proved restN-zero, sublist-def,
sublist-rec-01provedall subs proved firstN-rec, restN-zero, sublist-def,
del1-delprovedall subs proved del-n, del1-n, del-y, del1-y, del-e, del1-e,
weak-firstN-recprovedall subs proved firstN-rec,
app-01provedall subs proved del1-n,
app-05provedall subs proved pos-n, pos-y, pos-e,
del-one-simp-differentprovedall subs proved del-e, del-n,
del-del1-switchprovedall subs proved del-y, del1-n, del1-y, del-n, del1-e, del-e,
get-add-numprovedall subs proved get-succ,
del1-firstprovedall subs proved del1-y,
pos-equalprovedall subs proved pos-n, pos-y, pos-e,
list-select-not-firstprovedall subs proved get-succ,
del1-del-switchprovedall subs proved del1-y, del-n, del-y, del1-n, del-e, del1-e,
del-delprovedall subs proved del-n, del-y, del-e,
extensionprovedall subs proved get-succ, get-zero,
put-zero-01provedall subs proved put-zero,
restn-firstnprovedall subs proved restN-rec, firstN-rec, restN-zero,
getprovedall subs proved get-succ, pos-n, get-zero, pos-y, pos-e,
app-05-negprovedall subs proved pos-n,
weak-restN-recprovedall subs proved restN-rec,
sublist-recprovedall subs proved firstN-rec, restN-zero, sublist-def,
append-modprovedall subs proved put-succ,
sublist-num-01provedall subs proved firstN-rec, restN-zero, sublist-def,
firstN-num-recprovedall subs proved firstN-rec,
del-lengthprovedall subs proved del-n, del-y, del-e,
pos-oneprovedall subs proved pos-y,
one-01-01provedall subs proved del1-e, del1-n,
delpos-atsizeidprovedall subs proved delpos-rec, delpos-empty,
del-n-simpprovedall subs proved del-n,
sub-zerorecprovedall subs proved restN-zero, sublist-def, firstN-rec,
put-zeroprovedall subs proved
del1-eaxiom
del1-yaxiom
del1-naxiom
fromE-emptyaxiom
pos-eaxiom
fromE-yesaxiom
pos-yaxiom
fromE-noaxiom
pos-naxiom
restN-recaxiom
del-eaxiom
del-yaxiom
del-naxiom
put-succprovedall subs proved
delpos-emptyaxiom
delpos-baseaxiom
delpos-recaxiom
sublist-defaxiom
restN-zeroaxiom
firstN-zeroaxiom
get-zeroprovedall subs proved
firstN-recaxiom
get-succprovedall subs proved
lastN-zeroaxiom
lastN-recaxiom