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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
- nat-inf-basic/disj
is used by
add-inf-02,
- nat-inf-basic/inj
is used by
eq-natinf-to-nat-2-1,
- nat-inf-basic/sel
is used by
prime-add-fin,
- nat-inf-basic/disj
is used by
zerols-neqzero,
sum-zero-fin,
sum-zero,
sum-notinf,
rem-seln-on-add,
prime-add-fin,
onels-neqzero,
ls-one,
less-less-leftsucc,
lele-refl,
inf-less,
add-less-fin-01,
add-less,
add-inf-02,
add-inf-01,
add-cancel-03,
add-cancel-02,
add-cancel-01,
- nat-inf-basic/inj
is used by
zerols-neqzero,
sum-zero-fin,
sum-zero,
onels-neqzero,
ls-one,
less-less-leftsucc,
lele-refl,
eqsucc-ls,
add-less-fin-01,
add-cancel-num-02,
add-cancel-03,
add-cancel-02,
- nat-inf-basic/sel
is used by
rem-seln-on-add,
prime-add-fin,
Used from specification nat
- nat/add
is used by
add-cancel-num-01,
- nat/anti
is used by
add-cancel-num-02,
- nat/elim-sub
is used by
add-ls-cancel-num-04,
add-ls-cancel-num-03,
add-ls-cancel-num-02,
add-ls-cancel-num-01,
add-cancel-num-04,
add-cancel-num-03,
add-cancel-num-01,
- nat/fle
is used by
lsle-trans,
leq-notgradd,
- nat/fle-01
is used by
lsle-trans,
ls-lsadd,
- nat/le-add
is used by
add-less-fin-01,
- nat/le-ls-simp
is used by
lsle-trans,
- nat/lels
is used by
lsle-trans,
ls-lsadd,
lele-refl,
add-ls-cancel-01,
add-less-fin-01,
add-cancel-num-02,
- nat/lels-03
is used by
add-cancel-num-04,
- nat/ler
is used by
lele-refl,
- nat/let
is used by
lsle-trans,
- nat/ls-le-simp
is used by
add-ls-cancel-01,
Used from specification nat-basic2
- nat-basic2/addex
is used by
less-notgeqinf,
- nat-basic2/a
is used by
sum-zero-fin,
sum-zero,
rem-seln-on-add,
num-add,
ls-succ,
ls-natinf-to-nat-3-3,
ls-natinf-to-nat-3-2,
ls-natinf-to-nat-3-1,
ls-natinf-to-nat-2-3,
ls-natinf-to-nat-1-3,
ls-lsadd,
less-succ-leq,
less-notgeqinf,
less-less-leftsucc,
leq-notgradd,
eqsum-notless,
eq-natinf-to-nat-3-3,
eq-natinf-to-nat-3-2,
eq-natinf-to-nat-3-1,
add-not-less,
add-ls-cancel-num-04,
add-ls-cancel-num-03,
add-ls-cancel-num-02,
add-ls-cancel-num-01,
add-ls-cancel-01,
add-less-fin-01,
add-cancel-num-04,
add-cancel-num-03,
add-cancel-num-02,
add-cancel-num-01,
add-cancel-03,
add-cancel-01,
add-assoc,
add-all-zero,
- nat-basic2/add-base
is used by
add-all-zero,
- nat-basic2/c
is used by
sum-zero-fin,
sum-zero,
rem-seln-on-add,
num-add,
ls-succ,
ls-natinf-to-nat-3-3,
ls-natinf-to-nat-3-2,
ls-natinf-to-nat-3-1,
ls-natinf-to-nat-2-3,
ls-natinf-to-nat-1-3,
ls-lsadd,
less-succ-leq,
less-notgeqinf,
less-less-leftsucc,
leq-notgradd,
inf-inseq-reduce,
eqsum-notless,
eq-natinf-to-nat-3-3,
eq-natinf-to-nat-3-2,
eq-natinf-to-nat-3-1,
add-not-less,
add-ls-cancel-num-04,
add-ls-cancel-num-03,
add-ls-cancel-num-02,
add-ls-cancel-num-01,
add-ls-cancel-01,
add-less-fin-01,
add-comm,
add-cancel-num-04,
add-cancel-num-03,
add-cancel-num-02,
add-cancel-num-01,
add-cancel-03,
add-cancel-01,
add-assoc,
add-all-zero,
- nat-basic2/eq
is used by
add-cancel-03,
- nat-basic2/eq-01
is used by
rem-seln-on-add,
add-cancel-01,
- nat-basic2/l
is used by
eqsum-notless,
add-ls-cancel-01,
- nat-basic2/l-02
is used by
ls-lsadd,
leq-notgradd,
add-not-less,
- nat-basic2/oz
is used by
sum-zero-fin,
- nat-basic2/s
is used by
less-succ-leq,
less-less-leftsucc,
add-cancel-num-02,
- nat-basic2/succ
is used by
sum-zero-fin,
add-cancel-num-02,
add-cancel-01,
- nat-basic2/z-01
is used by
sum-zero-fin,
Used from specification nat-basic1
- nat-basic1/f
is used by
lsle-trans,
ls-lsadd,
less-notgeqinf,
leq-notgradd,
add-cancel-num-04,
add-cancel-num-02,
- nat-basic1/less-1
is used by
add-cancel-num-02,
- nat-basic1/ls-02
is used by
ls-trans,
lele-refl,
- nat-basic1/neq-01
is used by
less-less-leftsucc,
lele-refl,
- nat-basic1/one
is used by
onels-neqzero,
- nat-basic1/one-01
is used by
ls-one,
- nat-basic1/ref-1
is used by
ls-notlssucc,
ls-irref,
add-less-fin-01,
- nat-basic1/zero
is used by
zerols-neqzero,
- nat-basic1/zero-01
is used by
not-less-zero,