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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 nat-basic
- nat-basic/addex
is used by
eq-add2n-1-eq-le,
le-addex,
le-add-01,
le-add-02,
- nat-basic/lf-07
is used by
fle,
- nat-basic/pls
is used by
pls,
- nat-basic/succ
is used by
num-01,
- nat-basic/a
is used by
sub-add-01,
eq-add2n-1-eq-le,
le-num-02,
le-num-01,
le-num-03,
pls,
eq-pred,
num-02,
num-01,
sub-ls,
l-num-01,
l-num-02,
le-addex,
l-num-03,
sub-succ,
le-one,
le-add-01,
l-num-06,
le-add-02,
succ-04,
eqle-one,
succ-02,
succ-01,
pred-01,
pred-02,
pred-03,
eq-pred-01,
zero-01,
succ-05,
le-add,
less-01,
less-02,
less-03,
eq,
less,
ls-pred,
leprf,
ls-add-not,
ls-add-not-01,
ls-add-not-02,
ls-add-not-03,
add,
sub-le-rew,
add-02,
add-03,
add-01,
sub-same,
rec,
lels-04,
zero,
elim-pred-c,
ls,
shift-01,
le,
lep-01,
lep-02,
succ,
one-01,
neq-01,
prop,
add-le-right2-ls,
add-ls-right2-le,
cancel-01,
elim-sub,
prop-02,
prop-05,
prop-04,
ls-03,
ls-02,
sub-ls-rew,
ls-04,
ls-07,
ls-06,
prop-07,
prop-06,
ls-01,
les,
sub-add,
add-sub-less,
lep,
pred,
neq-add1,
lepr,
eq-03,
le-sum,
le-num-06,
add-num-03,
add-num-04,
add-num-01,
eq-01,
add-num-02,
eq-02,
- nat-basic/add-base
is used by
zero-01,
le-add,
less-03,
less,
ls-add-not-01,
shift-01,
lep-01,
lep-02,
neq-01,
elim-sub,
le-sum,
- nat-basic/c
is used by
sub-add-01,
eq-add2n-1-eq-le,
le-num-02,
le-num-01,
le-num-03,
pls,
eq-pred,
num-02,
num-01,
sub-ls,
l-num-01,
l-num-02,
le-addex,
l-num-03,
sub-succ,
le-one,
le-add-01,
l-num-06,
le-add-02,
succ-04,
eqle-one,
succ-02,
succ-01,
pred-01,
pred-02,
pred-03,
eq-pred-01,
zero-01,
succ-05,
le-add,
less-01,
less-02,
less-03,
eq,
less,
ls-pred,
leprf,
ls-add-not,
ls-add-not-01,
ls-add-not-02,
ls-add-not-03,
add,
sub-le-rew,
add-02,
add-03,
add-01,
sub-same,
rec,
lels-04,
zero,
elim-pred-c,
ls,
shift-01,
le,
lep-01,
lep-02,
succ,
one-01,
neq-01,
prop,
add-le-right2-ls,
add-ls-right2-le,
cancel-01,
elim-sub,
prop-02,
prop-05,
prop-04,
ls-03,
ls-02,
sub-ls-rew,
ls-04,
ls-07,
ls-06,
prop-07,
prop-06,
ls-01,
les,
sub-add,
add-sub-less,
lep,
pred,
neq-add1,
lepr,
shift,
eq-03,
le-sum,
le-num-06,
add-num-03,
add-num-04,
add-num-01,
eq-01,
add-num-02,
eq-02,
- nat-basic/elim-pred-c
is used by
pred-03,
- nat-basic/eq-01
is used by
eq-add2n-1-eq-le,
num-02,
le-addex,
sub-succ,
le-add-02,
add,
add-03,
sub-same,
rec,
neq-01,
cancel-01,
elim-sub,
prop-02,
prop-05,
sub-add,
add-sub-less,
eq-01,
eq-02,
- nat-basic/eq-02
is used by
eq-add2n-1-eq-le,
le-addex,
less-03,
less,
zero,
neq-add1,
- nat-basic/even-02
is used by
add-02,
- nat-basic/f
is used by
eq-add2n-1-eq-le,
le-num-01,
le-num-03,
pls,
sub-ls,
l-num-02,
le-addex,
l-num-03,
sub-succ,
le-one,
le-add-01,
l-num-06,
le-add-02,
zero-01,
succ-05,
less-03,
trans-le-le,
trans-le-ls,
less,
ls-pred,
ls-add-not,
ls-add-not-01,
ls-add-not-02,
ls-add-not-03,
add-01,
lels-04,
trans-ls-le,
neq-01,
fle,
not-zero,
prop,
add-le-right2-ls,
add-ls-right2-le,
cancel-01,
elim-sub,
le-ls-simp,
sub-ls-rew,
let,
add-sub-less,
pred,
le-sum,
le-num-06,
fle-01,
- nat-basic/l
is used by
pls,
sub-ls,
l-num-01,
l-num-02,
succ-05,
less-02,
less-03,
less,
ls-add-not,
lels-04,
ls,
lep-02,
neq-01,
sub-ls-rew,
ls-04,
ls-07,
ls-01,
- nat-basic/l-01
is used by
less,
- nat-basic/l-02
is used by
le-num-03,
pls,
sub-ls,
sub-succ,
l-num-06,
succ-05,
ls-pred,
ls-add-not,
add-01,
sub-same,
lels-04,
prop-04,
add-sub-less,
lep,
le-sum,
add-num-03,
eq-01,
- nat-basic/l-04
is used by
ls-add-not,
ls-add-not-01,
ls-add-not-02,
ls-add-not-03,
- nat-basic/less-zero
is used by
l-num-03,
prop,
elim-sub,
lez-01,
lez,
pred,
le-num-06,
- nat-basic/lf
is used by
le-num-03,
sub-ls,
le-one,
l-num-06,
succ-05,
less,
ls-pred,
- nat-basic/lf-01
is used by
neq-01,
fle,
- nat-basic/ls-02
is used by
le-num-02,
le-num-01,
le-num-04,
l-num-01,
l-num-02,
l-num-04,
l-num-05,
le-rec,
less,
lels-03,
fle,
sub-ls-rew,
le-num-05,
add-num-04,
add-num-01,
add-num-02,
- nat-basic/ls-03
is used by
anti,
- nat-basic/nls-fst
is used by
l-num-03,
le-num-06,
- nat-basic/one
is used by
succ-05,
less,
- nat-basic/one-01
is used by
leprf,
one-02,
one-01,
lepr,
- nat-basic/one-06
is used by
one-01,
- nat-basic/oz
is used by
eq-add2n-1-eq-le,
pred-02,
pred-03,
one-01,
elim-sub,
pred,
neq-add1,
- nat-basic/pred
is used by
num-01,
pred-03,
- nat-basic/refl-Nat
is used by
eq-pred,
sub-ls,
eq-pred-01,
zero-01,
zero,
le-ls-simp,
ls-06,
ler,
eq-03,
- nat-basic/s-04
is used by
l-num-03,
succ-02,
succ-01,
elim-sub,
pred,
le-num-06,
- nat-basic/succ
is used by
le-num-03,
num-02,
num-01,
sub-ls,
l-num-03,
l-num-06,
pred-03,
succ-05,
less,
ls-pred,
shift-01,
lep-01,
lep-02,
one-01,
neq-01,
elim-sub,
rax,
le-sum,
le-num-06,
- nat-basic/trans-Nat
is used by
le-num-03,
sub-ls,
le-one,
l-num-06,
succ-05,
ls-pred,
- nat-basic/z-01
is used by
le-addex,
le-add-01,
le-add-02,
one-01,
- nat-basic/zero
is used by
ls-05,