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Lemma dependency for Specification int-abs

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:
abs-10provedall subs proved abs-zero, lsone, sub-ls,
abs-le-succprovedall subs proved succ-02, numlelsdel, forward-le-02, numls-03, sub-sub-03, sub-zero, sub-le, Minus-def, abs-08, num-subadd, sub-sub, abs-05, le-def, Abs-pos,
absp-01provedall subs proved abs-ls-02,
absls-05provedall subs proved sub-add-09, sub-sub, mone-01, sub-add-01, num-subadd, Minus-def, abs-08, abs-05, mone-06, numls-02, elim-sub, le-def, sub-pred, succ-02, sub-ls, abs-16, abs-09,
abs-ls-02provedall subs proved sub-ls-01, abssub-02, sub-eq, abs-06, Abs-pos, elim-sub, le-def,
abs-05provedall subs proved le-def, numle-03, abseq, sub-eq, sub-sub, Abs-neg,
abs-zeroprovedall subs proved abs-06, le-def,
abs-04provedall subs proved numadd, absle, abs-12,
zero-notprovedall subs proved sub-ls-01, abs-06, Abs-pos, abs-16, zero-gels-01, forward-le-02, forward-le-05, sub-ls, Minus-def, abs-08, le-def,
absls-04provedall subs proved sub-eq-01, sub-eq, abs-06, sub-pred, le-def, sub-ls-01, abs-16, abs-09,
absaprovedall subs proved Abs-pos, abseq, sub-add, sub-add-01, sub-zero, zero-gels-01, forward-le-02, sub-eq, Minus-def, abs-08, le-def,
abseqprovedall subs proved Abs-pos, sub-sub-03, sub-zero, Minus-def, abs-08, le-def, abs-16,
abs-09provedall subs proved lels-03, lsone, le-def, sub-le-01, abs-18, abs-16,
abs-06provedall subs proved forward-le-05, abs-16, zero-gels-01, sub-ls-01, Minus-def, abs-08,
abs-12provedall subs proved zero-gs, le-def, abs-18, absle,
absone-02provedall subs proved abs-succ, le-def,
numabsposprovedall subs proved absle,
abs-21provedall subs proved sub-sub-03, absneg-01, Abs-pos, sub-zero, zero-gels-01, forward-le-02, abs-08, sub-eq, Minus-def,
absnegprovedall subs proved sub-sub-03, sub-zero, sub-eq, Minus-def, absneg-01,
abssub-04provedall subs proved sub-add, sub-add-01, abssub,
abs-ls-01provedall subs proved zero-gels-01, abs-ls-03, abs-16, le-def,
absneg-02provedall subs proved sub-sub-03, sub-zero, sub-eq, Minus-def, absneg-01,
absoneprovedall subs proved abs-succ, le-def,
abs-sub-02provedall subs proved succ-01, sub-le-01, sub-add-05, sub-add-01, sub-le, abssub-01, abssub-02,
abs-one-01provedall subs proved lsone, abs-16, lels-03, mone-06, numls-03, sub-ls-01, Minus-def, abs-08, le-def,
abssub-03provedall subs proved sub-add, sub-add-01, abssub,
abs-negprovedall subs proved Abs-pos, abs-16, forward-le-02, sub-eq, abs-08, elim-sub, Minus-def,
abspprovedall subs proved zero-gels-01, abs-ls-03, abs-16, le-def,
abs-01provedall subs proved Abs-pos, sub-sub-03, sub-zero, sub-eq, Minus-def, abs-08, abssub-02,
abssub-01provedall subs proved succ-01, sub-le-01, abs-18,
abssubprovedall subs proved lenls, le-def, sub-le-01, abs-18,
abssub-02provedall subs proved le-def, sub-le-01, abs-18,
absneg-01provedall subs proved sub-sub-03, sub-zero, Minus-def, abs-08, le-def, abs-18, sub-eq,
abs-16provedall subs proved le-def, abs-18,
abs-succprovedall subs proved numls-03, le-def, succ-02, Abs-pos, lels-03, mone-06, sub-ls, num-subadd, sub-sub, sub-add-09, mone-01, sub-add-01, numadd-01, sub-eq, Minus-def, abs-08, zero-gels-01, forward-le-02,
absleprovedall subs proved zero-gels-04, abs-18,
abs-19provedall subs proved absls-01, le-def,
abssub-05provedall subs proved zero-gels-01, abs-18, elim-sub, le-def, succ-02,
minus-01provedall subs proved sub-add-09, sub-sub, mone-01, sub-add-01, sub-eq, num-subadd, Minus-def,
absone-01provedall subs proved numls-02, forward-le-05, Abs-pos, sub-ls, mone-01, sub-add-09, sub-sub, minus-add, sub-add-01, numadd-01, sub-eq, Minus-def, abs-08, zero-gels-01, forward-le-02,
abs-03provedall subs proved absls, le-def,
abs-17provedall subs proved le-def, numle-02, abs-18,
absprovedall subs proved zero-gels, le-def, abs-18,
abs-11provedall subs proved absls, numls-03, forward-le-02,
absle-01provedall subs proved absls-02, le-def,
negoneprovedall subs proved sub-add-09, sub-sub, mone-01, sub-add-01, sub-eq, num-subadd, sub-pred, Minus-def,
abs-subprovedall subs proved absls-01, elim-sub,
absls-02provedall subs proved forward-le-05, Abs-pos, sub-ls-01, sub-zero, zero-gels-01, forward-le-02, sub-ls, Minus-def, abs-08, le-def,
abs-ls-03provedall subs proved zero-gels-01, sub-ls-01, Minus-def, abs-08, elim-sub,
abslsprovedall subs proved Abs-pos, sub-ls, Minus-def, abs-08, zero-gels-01, forward-le-02,
mone-01provedall subs proved numsub, sub-add-01, sub-eq, minus-add,
abs-18provedall subs proved Abs-pos, le-def, sub-eq, Minus-def, abs-08,
absls-01provedall subs proved Abs-pos, sub-ls, Minus-def, abs-08,
absls-03provedall subs proved sub-ls-01, Minus-def, abs-08, Abs-pos,
abs-07provedall subs proved Abs-pos, sub-eq, Minus-def, abs-08,
absls-06provedall subs proved sub-ls-01, Minus-def, abs-08, Abs-pos,
sub-add-08provedall subs proved numsub, sub-add-01, sub-add-05, sub-eq, sub-sub,
abs-lsprovedall subs proved sub-ls-01, sub-zero, Minus-def, abs-08, zero-gels-01, numls-03, forward-le-02, sub-ls,
k-sub-rec1provedall subs proved numadd, sub-add-02, sub-add-01, sub-eq, sub-sub-04, sub-pred,
lerprovedall subs proved numsub, sub-add-01, sub-le, sub-pred, le-def, numle-01,
abs-15provedall subs proved forward-le-02, forward-le-05, sub-ls, Minus-def, abs-08, le-def,
sub-add-07provedall subs proved numadd, sub-add-02, sub-add-01, sub-eq,
ls-rew-succprovedall subs proved succ-01,
ple-01provedall subs proved sub-ls, sub-add-01, sub-pred, succ-02, forward-le-05, le-def,
subsubprovedall subs proved sub-sub-03, sub-zero, Minus-def, sub-add-09, sub-eq, sub-sub,
neg-eqprovedall subs proved sub-zero-01, minus-sub, Minus-def,
sub-add-04provedall subs proved numsub, sub-add-01, sub-eq, sub-add-05, sub-sub,
abs-ls-04provedall subs proved sub-ls, Minus-def, abs-08, zero-gels-01, forward-le-02, le-def,
abs-addprovedall subs proved sub-sub-03, sub-zero, Minus-def, abs-08,
leprprovedall subs proved succ-01, sub-le-01, sub-pred,
numabsnegprovedall subs proved sub-sub-03, sub-zero, sub-eq, Minus-def, abs-08,
abs-14provedall subs proved forward-le-05, forward-le-02, sub-ls, Minus-def, abs-08,
k-sub-rec2provedall subs proved sub-add, sub-add-01, sub-add-06, sub-eq, sub-sub, sub-pred,
sub-add-03provedall subs proved numadd, sub-add-02, sub-sub-04,
le-recprovedall subs proved notle-pos, sub-le-01, succ-01, le-def,
minusprovedall subs proved numadd, minus-neg, minus-sub, num-subadd, sub-sub, Minus-def,
minus-02provedall subs proved sub-add, sub-add-01, sub-eq, sub-zero, Minus-def, minus-sub,
neg-11provedall subs proved sub-sub-03, sub-zero, Minus-def, sub-add-09, sub-eq, sub-sub,
numlsf-02provedall subs proved succ-01,
sub-sub-02provedall subs proved numadd, sub-add-02, sub-add-01, sub-eq, sub-sub-04,
numlsfprovedall subs proved succ-01,
neg-02provedall subs proved sub-zero-01, minus-sub, Minus-def,
betprovedall subs proved num-between,
num-betweenprovedall subs proved lels-03, succ-02, le-def, numle-01,
minus-negprovedall subs proved sub-add, sub-add-01, sub-eq, sub-zero, Minus-def,
sub-eq-01provedall subs proved sub-sub-03,
minus-subprovedall subs proved sub-add, sub-add-01, sub-eq, sub-sub-04, Minus-def,
succ-01provedall subs proved lels-03, succ-02, le-def,
minus-addprovedall subs proved sub-zero-01, sub-sub-04, Minus-def,
sub-add-09provedall subs proved sub-sub-03, sub-zero, sub-eq, Minus-def,
sub-predprovedall subs proved numsub, sub-add-01,
sub-add-02provedall subs proved numadd, sub-add,
sub-add-05provedall subs proved numsub, sub-add-01, sub-eq, sub-add-06,
num-subaddprovedall subs proved sub-add, sub-add-01, sub-add-06, sub-eq, sub-sub,
abs-08provedall subs proved sub-sub-03, sub-zero, sub-eq, Minus-def, Abs-neg,
numlefprovedall subs proved le-def, succ-02, sub-ls,
neg-addprovedall subs proved sub-sub-03, sub-zero, Minus-def,
sub-sub-01provedall subs proved sub-add, sub-add-01, sub-add-06, sub-eq, sub-sub,
neg-01provedall subs proved sub-ls-01, sub-zero, sub-ls, Minus-def,
num-eq-shiftprovedall subs proved sub-eq, sub-zero, Minus-def, sub-add, sub-add-01,
mone-04provedall subs proved le-def, mone-06, numle-02,
mone-07provedall subs proved forward-le-02, lels-03, mone-06, le-def, numadd-01,
neg-09provedall subs proved sub-ls-01, sub-zero, Minus-def,
minus-rewprovedall subs proved sub-add, sub-add-01, sub-eq, sub-zero, Minus-def,
neg-15provedall subs proved sub-add, sub-add-01, sub-eq, sub-zero, Minus-def,
subnegprovedall subs proved sub-zero-01, sub-sub-04, Minus-def,
negaddprovedall subs proved sub-ls-01, sub-zero, sub-ls, Minus-def,
neg-03provedall subs proved sub-sub-03, sub-zero, Minus-def,
neg-06provedall subs proved sub-sub-03, sub-zero, sub-eq, Minus-def,
neg-12provedall subs proved sub-eq, sub-zero, Minus-def,
numlef-01provedall subs proved le-def, succ-02, sub-ls,
sub-sameprovedall subs proved sub-add, sub-sub-04,
sub-minusprovedall subs proved sub-add, sub-add-01, sub-eq, sub-sub-04, sub-zero, sub-sub, Minus-def,
mone-03provedall subs proved numadd-01, sub-eq, Minus-def,
lesprovedall subs proved lels-03, succ-02, le-def, numle-01,
le-rew-succprovedall subs proved le-def, succ-02,
abs-sub-01provedall subs proved Abs-pos, numls-03, sub-add, numls-02, numadd-01, elim-sub, le-def,
neg-08provedall subs proved sub-ls, sub-zero, Minus-def,
numle-03provedall subs proved le-def, sub-le-01,
numle-02provedall subs proved le-def, sub-le,
numadd-01provedall subs proved sub-eq, sub-add,
numle-01provedall subs proved le-def, sub-le-01, sub-add-01,
numsubprovedall subs proved sub-add, sub-add-01, sub-eq,
sub-subprovedall subs proved sub-add, sub-add-01, sub-eq, sub-add-06,
sub-zeroprovedall subs proved sub-add, sub-add-01, sub-eq,
sub-sub-03provedall subs proved sub-eq,
sub-sub-04provedall subs proved sub-add, sub-add-01, sub-eq,
sub-zero-01provedall subs proved sub-eq,
succ-02provedall subs proved numls-01, le-def,
numaddprovedall subs proved sub-eq, sub-add-01,
negeqprovedall subs proved sub-eq, Minus-def,
sub-lessprovedall subs proved forward-le-05, le-def, sub-le-01,
int-simp-04provedall subs proved numls-03, forward-le-05,
one-03provedall subs proved sub-eq, lsone, sub-ls-01, sub-add, sub-add-01, forward-le-05, le-def,
neg-10provedall subs proved sub-eq, Minus-def,
zerooneprovedall subs proved bet-01, le-def,
le-sub-sameprovedall subs proved le-def, sub-add, sub-add-01, sub-le,
mone-negprovedall subs proved not-mone,
rew-eqzeroprovedall subs proved sub-eq, Minus-def,
negle-13provedall subs proved le-def, sub-le, Minus-def,
add-shiftprovedall subs proved sub-eq, sub-add,
add-rewprovedall subs proved sub-eq, sub-add,
sub-shift-secondprovedall subs proved sub-add, sub-add-01, sub-eq,
sub-shiftprovedall subs proved sub-add, sub-add-01, sub-eq,
negle-07provedall subs proved le-def, sub-le-01, Minus-def,
neg-14provedall subs proved sub-eq, Minus-def,
le-add-01provedall subs proved zero-gels-01, le-def, sub-le, ge-def,
rew-eqzero-01provedall subs proved sub-eq, Minus-def,
numls-01provedall subs proved sub-ls-01, sub-add-01,
numls-02provedall subs proved sub-ls,
not-moneprovedall subs proved zero-gs, le-def,
bet-01provedall subs proved anti, lsone,
sub-eqprovedall subs proved sub-add, sub-add-01,
sub-leprovedall subs proved sub-ls-01, le-def,
numls-03provedall subs proved sub-ls-01,
sub-le-01provedall subs proved sub-ls, le-def,
neg-05provedall subs proved sub-ls, Minus-def,
negprovedall subs proved zero-gels-01, sub-ls-01, Minus-def,
ple-02provedall subs proved notle-pos,
neg-07provedall subs proved zero-gels-01, sub-ls-01, Minus-def,
le-add-06provedall subs proved zero-gels-01, le-def, ge-def, le-add-02, lels,
neg-13provedall subs proved sub-ls, Minus-def,
ex-le-addprovedall subs proved sub-ls, sub-add, sub-add-01, le-def,
sub-ls-02provedall subs proved sub-ls, sub-add-01,
minus-grprovedall subs proved sub-ls, gr-def, Minus-def,
le-add-08provedall subs proved zero-gels-01, forward-le-05, lels, ge-def, le-def, le-add-02,
not-mtwoprovedall subs proved zero-gs, le-def,
le-add-05provedall subs proved zero-gels-01, forward-le-05, le-def, ge-def, le-add-02, lels,
le-add-04provedall subs proved zero-gels-01, le-def, ge-def, le-add-02,
le-add-07provedall subs proved zero-gels-01, forward-le-05, le-def, ge-def, le-add-02, lels,
antiprovedall subs proved lenls, le-def,
lelsprovedall subs proved le-def, lenls,
le-add-02provedall subs proved zero-gels-01, le-def, ge-def,
sub-add-06provedall subs proved sub-add, elim-sub,
notle-posprovedall subs proved zero-gels-01, le-def,
zero-gsprovedall subs proved zero-gels-01, forward-le-02, le-def,
sub-lsprovedall subs proved elim-sub,
sub-add-01provedall subs proved sub-add, elim-sub,
sub-ls-01provedall subs proved elim-sub,
zero-geprovedall subs proved zero-gels-01, forward-le-02, le-def,
le-add-03provedall subs proved zero-gels-01, le-def, ge-def,
int-simp-09provedall subs proved int-simp-10,
int-simp-05provedall subs proved int-simp-06,
int-simp-02provedall subs proved int-simp-03,
int-simp-03provedall subs proved forward-le-05, le-def,
int-simp-06provedall subs proved forward-le-05, le-def,
lenlsprovedall subs proved lels-03,
int-simp-10provedall subs proved forward-le-05, le-def,
elim-subprovedall subs proved Sub-def, sub-add,
zero-gels-01provedall subs proved forward-le-02, le-def,
mone-05provedall subs proved lels-03, mone-06, le-def,
int-simp-01provedall subs proved forward-le-05,
mone-08provedall subs proved lels-03, mone-06, le-def,
lep-02provedall subs proved le-def, le-add,
discard-add2-lels-leftprovedall subs proved forward-le-05, le-def,
forward-le-01provedall subs proved forward-le-02, le-def,
forward-leprovedall subs proved forward-le-05, le-def,
forward-le-04provedall subs proved forward-le-05, le-def,
int-add-posprovedall subs proved forward-le-05, le-def,
int-add-pos-01provedall subs proved forward-le-05, le-def,
leoneprovedall subs proved lels-03, lsone, le-def,
sub-same-01provedall subs proved sub-add,
forward-le-03provedall subs proved forward-le-02, le-def,
int-simp-08provedall subs proved forward-le-05, le-def,
le-threeprovedall subs proved le-def, forward-le-05, numlsf-01,
lstwoprovedall subs proved lstwo-01,
mone-02provedall subs proved numlelsdel,
lstwo-01provedall subs proved le-def,
numlsf-01provedall subs proved le-def,
zero-gelsprovedall subs proved le-def,
zero-gels-04provedall subs proved le-def,
sub-addprovedall subs proved Sub-def,
le-addprovedall subs proved le-def,
forward-le-02provedall subs proved le-def,
numlelsdelprovedall subs proved le-def,
forward-le-05provedall subs proved le-def,
lsoneprovedall subs proved le-def,
mone-06provedall subs proved le-def,
lels-03provedall subs proved le-def,
estimate-add2-le-rightprovedall subs proved le-def,
estimate-add1-ls-leftprovedall subs proved le-def,
numlslsdel-03provedall subs proved le-def,
estimate-add2-le-leftprovedall subs proved le-def,
numleledel-01provedall subs proved le-def,
numlsledelprovedall subs proved le-def,
int-simp-07provedall subs proved le-def,
int-add-same-posprovedall subs proved gr-def,
estimate-add1-lsle-leftprovedall subs proved le-def,
zero-gels-03provedall subs proved le-def,
estimate-add1-le-rightprovedall subs proved le-def,
estimate-add2-lsle-rightprovedall subs proved le-def,
lep-01provedall subs proved le-def,
pls-01provedall subs proved le-def,
geprovedall subs proved ge-def, le-def,
transrewprovedall subs proved le-def,
add-pos-geprovedall subs proved ge-def,
estimate-add1-le-leftprovedall subs proved le-def,
zero-ge-01provedall subs proved le-def,
estimate-add2-lsle-leftprovedall subs proved le-def,
numlslsdel-02provedall subs proved le-def,
numleledelprovedall subs proved le-def,
forward-leleprovedall subs proved le-def,
estimate-add2-ls-leftprovedall subs proved le-def,
pleprovedall subs proved le-def,
ple-04provedall subs proved le-def,
zero-gels-02provedall subs proved le-def,
forward-lsleprovedall subs proved le-def,
estimate-add1-lsle-rightprovedall subs proved le-def,
estimate-add2-ls-rightprovedall subs proved le-def,
int-simp-11provedall subs proved le-def,
ple-03provedall subs proved le-def,
numlelsdel-01provedall subs proved le-def,
forward-lelsprovedall subs proved le-def,
numlslsdel-01provedall subs proved le-def,
zero-eqprovedall subs proved le-def,
lels-02provedall subs proved le-def,
lepprovedall subs proved le-def,
estimate-add1-ls-rightprovedall subs proved le-def,
plsprovedall subs proved le-def,
numlslsdelprovedall subs proved le-def,
ttwoprovedall subs proved le-def,
transrew-01provedall subs proved le-def,
numlsledel-01provedall subs proved le-def,
Abs-negaxiom
ge-defaxiom
Sub-defaxiom
gr-defaxiom
Abs-posaxiom
Minus-defaxiom
le-defaxiom