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View the specification.
View theorem base summary,
View theorem base listing,
the used properties by spec,
the dependency list,
the symbol table,
Used simplifier rules/spec theorems by specification
Used from specification real-abs
- real-abs/antr
is used by
zero-neq-01,
square-le,
zero-gr-01,
zero-ge-add-02,
- real-abs/forward-lele
is used by
pnls-negpos,
pnls-posneg,
ple-pos-better,
ple-pos,
pnls-pos,
square-le,
- real-abs/forward-lels
is used by
mult-gt-both,
- real-abs/forward-lsle
is used by
pls-neg,
pls-pos,
- real-abs/gr-def
is used by
le-pos,
le-neg,
- real-abs/le-def
is used by
inv-ge-pos,
square-le-04,
invmult-ge-neg,
inv-ge-neg,
invmult-ge-pos,
- real-abs/lele-add-notgr
is used by
square-ls-02,
square-ls-04,
- real-abs/lels
is used by
invmult-gr-pos,
square-le-04,
pnls-negpos,
pnls-posneg,
inv-gr-neg,
zero-neq-01,
ple-pos,
invmult-gr-neg,
pnls-pos,
square-le,
inv-gr-pos,
zero-ge-add-02,
- real-abs/lsls-add-notge
is used by
square-ls-02,
- real-abs/sub-le-01
is used by
invmult-le-pos-add,
invmult-le-neg-add,
- real-abs/transrew
is used by
pnle-neg,
square-le,
- real-abs/transrew-01
is used by
pnle-pos,
- real-abs/zero-gs
is used by
square-gez-01,
- real-abs/Abs-pos
is used by
abs-ite,
- real-abs/abs-02
is used by
le-same-05,
- real-abs/abs-16
is used by
le-same-06,
square-le-04,
- real-abs/abs-add
is used by
abs-ite,
- real-abs/abs-one
is used by
square-ls-one,
square-le-one,
square-ge-one,
square-gr-one,
square-eq-one,
- real-abs/absle
is used by
square-le-04,
square-ls-02,
- real-abs/antr
is used by
pls-neg,
le-same-02,
ls-pos,
zero-ls-03,
square-le-04,
ls-neg,
abs-ls-same,
invmult-ls-pos,
square-le,
zero-gr-01,
pnle-pos,
- real-abs/forward-le
is used by
ls-two-02,
- real-abs/forward-le-01
is used by
ls-two,
square-le-04,
square-gr-one,
square-ls-02,
- real-abs/forward-le-05
is used by
square-ls-one,
square-le-04,
square-eq-01,
square-le,
mult-gt-both,
pnle-pos,
ls-two-01,
square-ls-02,
zero-ge-add-02,
mods-ls,
- real-abs/forward-lele
is used by
square-interval-01,
pls-neg,
square-ls-one,
square-le-one,
square-ge-one,
pnls-negpos,
pnls-posneg,
square-interval,
ple-pos-better,
zero-gr-add-01,
square-zero-01a,
abs-ls-same,
square-zero-01,
pnls-pos,
square-le,
pnle-pos,
- real-abs/forward-lels
is used by
square-interval-01,
pnls-neg,
pnle-neg,
pls-neg,
ls-pos-02,
square-ls-one,
pls-pos-02,
square-le-one,
square-ge-one,
ple-neg,
square-interval,
zero-gr-add-01,
square-zero-01a,
abs-ls-same,
square-gr-one,
square-zero-01,
square-le,
est-nle,
square-ls-01,
zero-gr-03,
- real-abs/forward-lsle
is used by
ls-same-05,
square-ls-one,
le-same-01,
pls-pos-01,
ls-two,
zero-ls-02,
square-le-one,
square-ge-one,
square-le-03,
square-interval,
square-eq-02,
mult-pos,
zero-gr-add-01,
ple-pos,
square-zero-01a,
abs-ls-same,
square-gr-one,
square-zero-02,
square-zero-01,
square-le,
zero-gr-01,
square-ls-03a,
ls-two-01,
square-le-05a,
pls-pos,
zero-ge-add-01,
zero-ge-add-02,
- real-abs/gr-def
is used by
square-lez,
le-pos,
ls-pos,
ls-neg,
zero-neq-01,
le-neg,
zero-gr-01,
- real-abs/le-def
is used by
square-interval-01,
invmult-le-pos-add,
le-pos,
le-abs,
zero-ge-case,
pls-neg,
le-same-04,
le-same-01,
le-same-02,
square-le-one,
invmult-le-neg,
square-ge-one,
inv-ge-pos,
square-le-04,
square-le-03,
zero-ge-01,
invmult-le-neg-add,
pzero-ls,
zero-ge-02,
zero-ge-03,
zero-le-case,
inv-le-neg,
pnls-negpos,
invmult-ge-neg,
pnls-posneg,
ple-neg,
square-interval,
square-eq-02,
ple-pos-better,
inv-le-pos,
ple-pos,
square-zero-01a,
le-neg,
invmult-le-pos,
square-zero-02,
square-zero-01,
pnls-pos,
abs-le-one-multiple,
square-le,
zero-le-01,
zero-le-02,
zero-le-03,
inv-ge-neg,
invmult-ge-pos,
twice-le-zero,
mult-gt-both,
square-ls-03a,
square-gez-01,
est-nle,
square-gez,
pnle-pos,
ls-two-03,
ls-two-01,
le-same,
square-le-05a,
pls-pos,
zero-ge-add-01,
zero-ge-add-02,
- real-abs/le-num
is used by
ls-two,
square-interval,
twice-le-zero,
- real-abs/lels
is used by
square-interval-01,
square-lez,
invmult-le-pos-add,
ls-same-05,
abs-not-neg,
invmult-ls-neg,
pls-neg,
ls-pos-02,
square-ls-one,
le-same-02,
pls-pos-01,
pls-pos-02,
ls-pos,
ls-two,
zero-ls-03,
zero-ls-02,
zero-ls-01,
invmult-ls-pos-add,
square-le-one,
abs-ls-multiple-one,
invmult-gr-pos,
square-ge-one,
inv-ge-pos,
square-le-04,
invmult-ls-neg-add,
invmult-le-neg-add,
pzero-ls,
twice-ls-zero,
square-abs,
inv-ls-neg,
invmult-ge-neg,
square-eq,
zero-gr-case,
ls-neg,
square-interval,
noeth-zero-ls,
mult-pos,
inv-ls-pos,
inv-gr-neg,
pzero-gr,
invmult-gr-neg,
le-neg,
abs-ls-same,
square-gr-one,
invmult-ls-pos,
square-minus,
square-le,
zero-gr-01,
zero-gr-02,
square-ls,
inv-ge-neg,
mult-gt-one,
invmult-ge-pos,
zero-ls-case,
abs-eqall,
mult-gt-both,
inv-gr-pos,
square-ls-01,
ls-two-02,
abs-ls-one-multiple,
square-ls-02,
pls-pos,
zero-ge-add-02,
mods-ls,
zero-gr-03,
- real-abs/lels-02
is used by
zero-ge-case,
abs-not-neg,
le-same-02,
pls-pos-01,
pls-pos-02,
zero-ls-02,
zero-ge-02,
zero-ge-03,
zero-le-case,
pnls-negpos,
square-eq,
pnls-posneg,
zero-gr-case,
ple-pos-better,
zero-neq-01,
square-zero-02,
square-zero-01,
pnls-pos,
square-le,
zero-gr-01,
zero-gr-02,
zero-le-02,
zero-le-03,
zero-ls-case,
abs-eqall,
mult-gt-both,
est-nle,
pnle-pos,
zero-gr-03,
- real-abs/lels-03
is used by
square-interval-01,
invmult-le-pos-add,
le-pos,
le-abs,
ls-same-05,
abs-not-neg,
invmult-ls-neg,
pnle-neg,
square-ls-one,
le-same-05,
le-same-04,
le-same-01,
zero-ls-02,
invmult-ls-pos-add,
abs-ls-multiple-one,
invmult-gr-pos,
square-ge-one,
inv-ge-pos,
invmult-ls-neg-add,
zero-ge-01,
invmult-le-neg-add,
pzero-ls,
zero-ge-02,
zero-ge-03,
inv-ls-neg,
invmult-ge-neg,
square-eq,
zero-gr-case,
noeth-zero-ls,
inv-ls-pos,
inv-gr-neg,
invmult-gr-neg,
le-neg,
abs-ls-same,
square-gr-one,
abs-le-one-multiple,
square-lez-01,
square-le,
zero-gr-02,
zero-le-01,
zero-le-02,
zero-le-03,
square-ls,
inv-ge-neg,
mult-gt-one,
invmult-ge-pos,
zero-ls-case,
inv-gr-pos,
pnle-pos,
abs-ls-one-multiple,
square-le-05a,
zero-ge-add-02,
mods-ls,
zero-gr-03,
- real-abs/lenls
is used by
square-interval-01,
square-lez,
invmult-le-pos-add,
le-pos,
pnls-neg,
le-abs,
le-same-04,
le-same-01,
pls-pos-01,
pls-pos-02,
ls-pos,
square-le-one,
abs-ls-multiple-one,
invmult-le-neg,
inv-ge-pos,
square-le-04,
zero-ge-01,
invmult-le-neg-add,
pzero-ls,
square-abs,
inv-ls-neg,
inv-le-neg,
pnls-negpos,
invmult-ge-neg,
pnls-posneg,
ple-neg,
ls-neg,
square-interval,
ple-pos-better,
mult-pos,
inv-le-pos,
zero-gr-add-01,
ple-pos,
square-zero-01a,
pzero-gr,
le-neg,
invmult-le-pos,
square-gr-one,
square-zero-01,
pnls-pos,
abs-le-one-multiple,
square-le,
zero-gr-01,
zero-le-01,
inv-ge-neg,
invmult-ge-pos,
abs-eqall,
est-nle,
abs-ls-one-multiple,
le-same,
pls-pos,
zero-ge-add-01,
zero-gr-03,
- real-abs/lep
is used by
ls-dist-06,
num-distr-le1,
- real-abs/lep-01
is used by
square-ls-one,
num-distr-add-le2,
square-ge-one,
square-interval,
square-zero-01a,
abs-ls-same,
ls-dist-05,
square-le,
num-distr-le2,
- real-abs/lep-02
is used by
num-distr-add-le1,
le-dist,
le-dist-02,
le-dist-01,
square-interval,
num-distr-addboth-le1,
num-distr-addboth-le2,
- real-abs/ler
is used by
pls-neg,
le-same-05,
le-same-02,
ls-pos,
square-lez-01,
invmult-ls-pos,
square-le,
zero-gr-01,
zero-gr-03,
- real-abs/lsle-add-notge
is used by
square-le-04,
- real-abs/negle-07
is used by
square-ge-one,
abs-ls-same,
square-le,
- real-abs/negle-13
is used by
le-abs,
le-same-05,
le-same-04,
square-le-one,
abs-ls-multiple-one,
square-gr-one,
abs-le-one-multiple,
square-le,
zero-le-01,
abs-ls-one-multiple,
- real-abs/notle-pos
is used by
mods-ls,
- real-abs/sub-le
is used by
invmult-ge-neg-add,
invmult-le-neg-add,
invmult-ge-pos-add,
- real-abs/sub-le-01
is used by
invmult-le-pos-add,
le-abs,
le-same-05,
le-same-04,
abs-ls-multiple-one,
invmult-ge-neg-add,
abs-le-one-multiple,
square-le,
abs-ls-one-multiple,
- real-abs/zero-gels
is used by
square-ls-03a,
- real-abs/zero-gels-01
is used by
zero-ls-02,
pzero-ls,
square-eq-02,
zero-gr-add-01,
pzero-gr,
square-le,
zero-gr-01,
zero-ge-add-01,
zero-ge-add-02,
- real-abs/zero-gels-03
is used by
square-interval,
square-le,
- real-abs/zero-gels-04
is used by
pnls-negpos,
pnls-posneg,
square-le,
- real-abs/zero-gs
is used by
square-zero-02,
Used from specification real-basic
- real-basic/add-assoc
is used by
square-le-05,
- real-basic/add-zero
is used by
mult-zero,
- real-basic/blst-01
is used by
square-zero,
square-eq-01,
mult-pos,
square-lez-01,
- real-basic/eqint-add
is used by
num-distr-add-le2,
num-distr-add-le1,
num-distr-add-ls2,
num-distr-add-ls1,
num-distr,
num-distr-eq2,
num-distr-eq1,
num-distr-ls2,
num-distr-ls1,
num-distr-addboth-eq2,
num-distr-addboth-eq1,
num-distr-addboth-le1,
num-distr-addboth-le2,
num-distr-add-eq2,
num-distr-add-eq1,
num-distr-addboth-ls1,
num-distr-addboth-ls2,
num-distr-le2,
num-distr-le1,
- real-basic/eqint-neg
is used by
two-sub,
- real-basic/neg-09
is used by
le-pos,
le-neg,
- real-basic/negeq
is used by
square-le,
- real-basic/negradd-ls
is used by
invmult-ls-pos-add,
invmult-ls-neg-add,
- real-basic/trans-lem
is used by
mods-zero-07,
ple-neg,
square-le,
- real-basic/trans-lem3
is used by
pnls-neg,
- real-basic/add-assoc
is used by
square-interval-01,
mult-zero,
invmult-le-pos-add,
le-pos,
le-abs,
ls-pos-02,
square-ls-one,
le-same-05,
le-same-04,
num-distr-add-le2,
num-distr-add-le1,
ls-pos,
succ-rsplit,
num-distr-add-ls2,
num-distr-add-ls1,
invmult-ls-pos-add,
square-le-one,
abs-ls-multiple-one,
minus-left,
two-le-04,
two-le-03,
two-le-02,
two-le-01,
square-ge-one,
square-le-05,
square-le-04,
mods-zero-07,
square-le-03,
invmult-ls-neg-add,
invmult-ge-neg-add,
le-dist,
invmult-le-neg-add,
num-distr,
eq-succ-01,
num-distr-eq2,
num-distr-eq1,
ls-add-02,
ls-add-03,
le-dist-02,
le-dist-01,
ls-neg,
succ-rmerge,
square-eq-01,
square-interval,
square-eq-02,
minus-one,
square-eq-03,
invmult-ge-pos-add,
zero-gr-add-01,
add-mult-two,
num-distr-ls2,
invmult-gr-neg-add,
num-distr-ls1,
square-zero-01a,
le-neg,
inv-mult-add-eq,
ls-dist-02,
ls-dist-01,
eq-nonzero,
abs-ls-same,
ls-dist-06,
square-gr-one,
square-zero-02,
ls-dist-05,
square-zero-01,
ls-dist-04,
ls-dist-03,
mult-add-greater,
two-sub,
abs-le-one-multiple,
num-distr-addboth-eq2,
num-distr-addboth-eq1,
eq-succ,
invmult-gr-pos-add,
square-le,
eq-dist,
zero-le-01,
num-distr-addboth-le1,
num-distr-addboth-le2,
square-eq-one,
two-sub-04,
two-sub-05,
abs-ite,
two-sub-02,
two-sub-03,
square-ls-04a,
abs-eqall,
two-sub-01,
twice-le-zero,
succ-lsplit,
two-ls-04,
two-ls-03,
num-distr-add-eq2,
square-ls-03a,
two-ls-02,
two-ls-01,
num-distr-add-eq1,
ls-dist,
two-le,
square-ls-01,
two-ls,
num-distr-addboth-ls1,
abs-ls-one-multiple,
num-distr-addboth-ls2,
square-ls-02,
square-ls-03,
square-ls-04,
square-le-05a,
num-distr-le2,
zero-ge-add-01,
num-distr-le1,
zero-ge-add-02,
mods-ls,
- real-basic/add-comm
is used by
square-interval-01,
mult-zero,
invmult-le-pos-add,
le-pos,
le-abs,
ls-pos-02,
square-ls-one,
le-same-05,
le-same-04,
num-distr-add-le2,
num-distr-add-le1,
ls-pos,
succ-rsplit,
num-distr-add-ls2,
num-distr-add-ls1,
invmult-ls-pos-add,
square-le-one,
abs-ls-multiple-one,
minus-left,
two-le-04,
two-le-03,
two-le-02,
two-le-01,
square-ge-one,
square-le-05,
square-le-04,
mods-zero-07,
square-le-03,
invmult-ls-neg-add,
invmult-ge-neg-add,
le-dist,
invmult-le-neg-add,
num-distr,
eq-succ-01,
num-distr-eq2,
num-distr-eq1,
ls-add-02,
ls-add-03,
le-dist-02,
le-dist-01,
ls-neg,
succ-rmerge,
square-eq-01,
square-interval,
square-eq-02,
minus-one,
square-eq-03,
invmult-ge-pos-add,
zero-gr-add-01,
add-mult-two,
num-distr-ls2,
invmult-gr-neg-add,
num-distr-ls1,
square-zero-01a,
le-neg,
inv-mult-add-eq,
ls-dist-02,
ls-dist-01,
eq-nonzero,
abs-ls-same,
ls-dist-06,
square-gr-one,
square-zero-02,
ls-dist-05,
square-zero-01,
ls-dist-04,
ls-dist-03,
mult-add-greater,
two-sub,
abs-le-one-multiple,
num-distr-addboth-eq2,
num-distr-addboth-eq1,
eq-succ,
invmult-gr-pos-add,
square-le,
eq-dist,
zero-le-01,
num-distr-addboth-le1,
num-distr-addboth-le2,
square-eq-one,
two-sub-04,
two-sub-05,
abs-ite,
two-sub-02,
two-sub-03,
square-ls-04a,
abs-eqall,
two-sub-01,
twice-le-zero,
succ-lsplit,
two-ls-04,
two-ls-03,
num-distr-add-eq2,
square-ls-03a,
two-ls-02,
two-ls-01,
num-distr-add-eq1,
ls-dist,
two-le,
square-ls-01,
two-ls,
num-distr-addboth-ls1,
abs-ls-one-multiple,
num-distr-addboth-ls2,
square-ls-02,
square-ls-03,
square-ls-04,
square-le-05a,
num-distr-le2,
zero-ge-add-01,
num-distr-le1,
zero-ge-add-02,
mods-ls,
- real-basic/add-in
is used by
succ-rsplit,
num-distr,
eq-succ-01,
succ-rmerge,
square-eq-02,
add-mult-two,
num-distr-addboth-eq2,
num-distr-addboth-eq1,
eq-succ,
eq-dist,
two-sub-05,
succ-lsplit,
num-distr-add-eq1,
- real-basic/add-less
is used by
ls-dist-04,
square-le,
- real-basic/add-zero
is used by
le-abs,
le-same-05,
le-same-04,
abs-ls-multiple-one,
two-le-04,
two-le-03,
two-le-02,
two-le-01,
inv-mult-add-eq,
abs-le-one-multiple,
square-le,
zero-le-01,
two-sub-04,
two-sub-03,
abs-eqall,
two-ls-04,
two-ls-03,
two-ls-02,
two-ls-01,
two-le,
two-ls,
abs-ls-one-multiple,
- real-basic/bls-01
is used by
square-lez,
pnls-neg,
le-abs,
zero-ge-case,
abs-not-neg,
pls-neg,
le-same-05,
le-same-04,
le-same-02,
ls-pos,
zero-ls-01,
square-le-one,
abs-ls-multiple-one,
zero-eq,
square-le-04,
pzero-ls,
square-abs,
zero-le-case,
square-eq,
ls-neg,
square-eq-01,
zero-neq-01,
pzero-gr,
abs-ls-same,
square-gr-one,
mult-add-greater,
abs-le-one-multiple,
invmult-ls-pos,
square-le,
zero-gr-01,
abs-eqall,
mult-gt-both,
pnle-pos,
abs-ls-one-multiple,
zero-ge-add-02,
- real-basic/blst
is used by
square-le-04,
- real-basic/blst-01
is used by
le-abs,
zero-ge-case,
le-same-05,
le-same-04,
abs-ls-multiple-one,
zero-eq,
inv-eq,
zero-le-case,
abs-le-one-multiple,
abs-eqall,
abs-ls-one-multiple,
- real-basic/blst-02
is used by
square-eq,
square-zero,
mult-pos,
invmult-ls-pos,
- real-basic/double-neg
is used by
square-lez,
ls-neg,
le-neg,
square-le,
zero-gr-01,
zero-le-01,
abs-eqneg,
- real-basic/eq
is used by
num-distr-eq2,
num-distr-eq1,
num-distr-add-eq2,
- real-basic/eqint-add
is used by
square-interval-01,
mult-zero,
square-le-05,
mods-zero-07,
square-interval,
square-eq-02,
square-eq-03,
square-zero-01a,
square-zero-01,
two-sub-04,
two-sub-05,
two-sub-02,
two-sub-03,
square-ls-04a,
twice-le-zero,
square-ls-03a,
two-ls-02,
square-ls-03,
square-ls-04,
square-le-05a,
- real-basic/eqint-num
is used by
posint-factor,
le-abs,
inv-mult,
neq-not-zero-01,
eq-nonzero-int,
minus-left,
zero-eq,
inv-eq,
square-zero,
minus-one,
zero-neq-01,
eq-same,
eq-nonzero,
square-eq-one,
abs-ite,
abs-eqall,
zero-neq,
inv-twice,
neq-not-zero,
- real-basic/irref
is used by
ls-pos,
square-ge-one,
square-eq,
ls-neg,
abs-ls-same,
square-gr-one,
invmult-ls-pos,
square-le,
- real-basic/less-add-cancel-l
is used by
square-interval-01,
num-distr-add-ls1,
square-le-04,
ls-add-02,
ls-add-03,
square-interval,
square-zero-01a,
ls-dist-02,
ls-dist-01,
square-zero-02,
ls-dist,
num-distr-addboth-ls1,
num-distr-addboth-ls2,
- real-basic/lf-02
is used by
pls-neg,
zero-ls-03,
mods-zero-07,
pzero-ls,
square-eq,
minus-one,
mult-pos,
zero-neq-01,
pzero-gr,
abs-ls-same,
invmult-ls-pos,
square-le,
eq-same-03,
eq-same-02,
zero-neq,
- real-basic/lf-03
is used by
pls-neg,
zero-ls-03,
zero-eq,
pzero-ls,
square-eq,
zero-neq-01,
pzero-gr,
invmult-ls-pos,
square-le,
eq-same-03,
eq-same-02,
- real-basic/ls
is used by
num-distr-add-ls2,
square-le-one,
square-le-03,
square-interval,
square-eq-02,
num-distr-ls2,
square-zero-01a,
square-gr-one,
square-zero-02,
square-zero-01,
ls-dist-03,
mult-add-greater,
square-le,
square-ls-03a,
square-ls-01,
square-le-05a,
zero-ge-add-01,
- real-basic/ls-02
is used by
square-interval-01,
ls-pos-02,
mods-zero-07,
square-interval,
minus-one,
zero-gr-add-01,
num-distr-ls1,
square-zero-01a,
abs-ls-same,
ls-dist-04,
square-le,
- real-basic/ls-num
is used by
le-abs,
ls-same-05,
zero-ge-case,
square-ls-one,
le-same-04,
le-same-01,
zero-ls-03,
zero-ls-02,
square-le-one,
abs-ls-multiple-one,
ls-negint,
le-negint,
ls-forward,
square-ge-one,
le-posint,
mods-zero-07,
pzero-ls,
twice-ls-zero,
zero-le-case,
eq-pos,
square-zero,
square-interval,
square-eq-02,
minus-one,
square-zero-01a,
pzero-gr,
ls-posint,
abs-ls-same,
square-gr-one,
square-zero-02,
square-zero-01,
abs-le-one-multiple,
invmult-ls-pos,
square-minus,
zero-gr-01,
zero-gr-02,
eq-same-03,
eq-same-02,
eq-neg,
square-ls-03a,
ls-two-03,
ls-two-02,
ls-two-01,
abs-ls-one-multiple,
square-le-05a,
zero-ge-add-02,
zero-gr-03,
- real-basic/lsls-add-noteq
is used by
square-eq-01,
- real-basic/lsnum-addboth1
is used by
square-interval,
- real-basic/lsnum-addboth2
is used by
square-zero-01,
- real-basic/mone-03
is used by
minus-one,
square-zero-01,
square-eq-one,
- real-basic/neg
is used by
abs-eqall,
- real-basic/neg-01
is used by
le-abs,
le-same-04,
abs-ls-multiple-one,
abs-le-one-multiple,
abs-ls-one-multiple,
- real-basic/neg-02
is used by
square-lez,
ls-neg,
zero-neq-01,
le-neg,
square-le,
zero-gr-01,
zero-le-01,
zero-neq,
- real-basic/neg-05
is used by
abs-not-neg,
square-minus,
- real-basic/neg-09
is used by
le-pos,
ls-pos,
ls-neg,
le-neg,
abs-ls-same,
square-le,
- real-basic/neg-10
is used by
le-abs,
square-le,
zero-neq,
- real-basic/neg-12
is used by
minus-one-01,
- real-basic/neg-add
is used by
ls-neg,
le-neg,
two-sub-05,
- real-basic/neg-zero
is used by
square-minus,
- real-basic/negadd-eq
is used by
two-sub,
- real-basic/negeq
is used by
posint-factor,
minus-left,
minus-one,
square-eq-one,
abs-ite,
abs-eqall,
- real-basic/negl-ls
is used by
ls-pos-02,
square-ls-one,
square-ge-one,
abs-ls-same,
square-le,
- real-basic/negladd-ls
is used by
invmult-ls-neg-add,
invmult-gr-neg-add,
invmult-gr-pos-add,
- real-basic/negr-ls
is used by
square-gr-one,
square-le,
- real-basic/negradd-ls
is used by
invmult-ls-pos-add,
invmult-gr-neg-add,
- real-basic/sub-eq
is used by
inv-mult-add-eq,
two-sub,
two-sub-04,
two-sub-05,
two-sub-02,
abs-eqall,
two-sub-01,
- real-basic/sub-eq-01
is used by
minus-left,
inv-mult-add-eq,
eq-nonzero,
- real-basic/trans
is used by
pnls-neg,
ls-same-05,
abs-not-neg,
pnle-neg,
pls-neg,
ls-pos-02,
square-ls-one,
le-same-01,
le-same-02,
zero-ls-03,
square-ge-one,
pzero-ls,
ple-neg,
square-interval,
mult-pos,
zero-gr-add-01,
zero-neq-01,
abs-ls-same,
square-zero-02,
square-le,
zero-gr-01,
ls-two-03,
ls-two-02,
pls-pos,
zero-ge-add-02,
- real-basic/zero-01
is used by
square-le,
- real-basic/zero-07
is used by
abs-eqall,
Used from specification int-basic2
- int-basic2/add-a
is used by
square-interval-01,
mult-zero,
posint-factor,
num-distr-add-le2,
num-distr-add-le1,
num-distr-add-ls2,
num-distr-add-ls1,
square-le-05,
mods-zero-07,
num-distr-eq2,
num-distr-eq1,
square-interval,
square-eq-02,
square-eq-03,
num-distr-ls2,
num-distr-ls1,
square-zero-01a,
square-zero-01,
two-sub,
num-distr-addboth-eq2,
num-distr-addboth-eq1,
num-distr-addboth-le1,
num-distr-addboth-le2,
two-sub-04,
two-sub-05,
two-sub-02,
two-sub-03,
square-ls-04a,
twice-le-zero,
num-distr-add-eq2,
square-ls-03a,
two-ls-02,
num-distr-add-eq1,
num-distr-addboth-ls1,
num-distr-addboth-ls2,
square-ls-03,
square-ls-04,
square-le-05a,
num-distr-le2,
num-distr-le1,
- int-basic2/add-c
is used by
square-interval-01,
mult-zero,
posint-factor,
num-distr-add-le2,
num-distr-add-le1,
num-distr-add-ls2,
num-distr-add-ls1,
square-le-05,
mods-zero-07,
num-distr-eq2,
num-distr-eq1,
square-interval,
square-eq-02,
square-eq-03,
num-distr-ls2,
num-distr-ls1,
square-zero-01a,
square-zero-01,
two-sub,
num-distr-addboth-eq2,
num-distr-addboth-eq1,
num-distr-addboth-le1,
num-distr-addboth-le2,
two-sub-04,
two-sub-05,
two-sub-02,
two-sub-03,
square-ls-04a,
twice-le-zero,
num-distr-add-eq2,
square-ls-03a,
two-ls-02,
num-distr-add-eq1,
num-distr-addboth-ls1,
num-distr-addboth-ls2,
square-ls-03,
square-ls-04,
square-le-05a,
num-distr-le2,
num-distr-le1,
- int-basic2/ls-02
is used by
num-distr-add-le2,
num-distr-add-ls2,
num-distr-eq2,
num-distr-ls2,
num-distr-addboth-eq2,
num-distr-addboth-le2,
num-distr-add-eq2,
num-distr-addboth-ls2,
num-distr-le2,
Used from specification int-abs
- int-abs/elim-sub
is used by
num-distr-add-le2,
num-distr-add-le1,
num-distr-add-ls2,
num-distr-add-ls1,
num-distr-eq2,
num-distr-eq1,
num-distr-ls2,
num-distr-ls1,
num-distr-addboth-eq2,
num-distr-addboth-eq1,
num-distr-addboth-le1,
num-distr-addboth-le2,
num-distr-add-eq2,
num-distr-add-eq1,
num-distr-addboth-ls1,
num-distr-addboth-ls2,
num-distr-le2,
num-distr-le1,
- int-abs/forward-le-01
is used by
num-distr-add-le1,
num-distr-add-ls1,
num-distr-eq1,
num-distr-ls1,
num-distr-addboth-eq1,
num-distr-addboth-le1,
num-distr-add-eq1,
num-distr-addboth-ls1,
num-distr-le1,
- int-abs/forward-le-02
is used by
posint-factor,
- int-abs/forward-le-05
is used by
num-distr-add-le2,
num-distr-add-ls2,
le-posint,
num-distr-eq2,
num-distr-ls2,
ls-posint,
num-distr-addboth-eq2,
num-distr-addboth-le2,
num-distr-add-eq2,
num-distr-addboth-ls2,
num-distr-le2,
- int-abs/gr-def
is used by
le-posint,
ls-posint,
- int-abs/lels
is used by
le-posint,
ls-posint,
- int-abs/lels-03
is used by
le-posint,
ls-posint,
- int-abs/lep
is used by
num-distr-add-le1,
num-distr-add-ls1,
num-distr-eq1,
num-distr-ls1,
num-distr-addboth-eq1,
num-distr-addboth-le1,
num-distr-add-eq1,
num-distr-addboth-ls1,
num-distr-le1,
- int-abs/neg-03
is used by
posint-factor,
- int-abs/zero-gels-01
is used by
posint-factor,
ls-negint,
le-negint,
- int-abs/zero-gels-04
is used by
num-distr-add-le1,
num-distr-add-ls1,
num-distr-eq1,
num-distr-ls1,
num-distr-addboth-eq1,
num-distr-addboth-le1,
num-distr-add-eq1,
num-distr-addboth-ls1,
num-distr-le1,