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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 list-last
- list-last/mk-rec
is used by
ocs-same-length-all,
ocs-same-length-mklist,
ocs-mklist,
perm-mklist,
- list-last/mk-elem
is used by
ocs-mklist,
perm-mklist,
- list-last/mk-empty
is used by
perm-mklist,
- list-last/mk-zero
is used by
ocs-same-length-all,
ocs-same-length-mklist,
ocs-mklist,
perm-mklist,
- list-last/rev-e
is used by
perm-rmdup-rev,
perm-rev,
- list-last/rev-empty
is used by
perm-rmdup-rev,
- list-last/rev-in
is used by
perm-rmdup-rev,
- list-last/rev-r
is used by
perm-rev,
Used from specification nat
- nat/add-01
is used by
ocs-sw,
ocs-same-length-all,
ocs-same-length-mklist,
perm-put-del1,
ocs-mklist,
ocs-put-02,
oc-del-01,
perm-mklist,
- nat/add-num-01
is used by
ocs-put,
- nat/add-num-03
is used by
ocs-dups-ex,
- nat/elim-pred-c
is used by
ocs-put,
in-put,
del-04,
ocs-put-01,
del-05,
perm-put-del1,
ocs-put-02,
oc-del-01,
del1,
- nat/eq-02
is used by
ocs-sw,
- nat/fle
is used by
oc-del-02,
subsize,
subdel-01,
del-02,
subapp-02,
subdel,
subapp-03,
oc,
trans,
- nat/fle-01
is used by
subsize,
oc,
- nat/gr-def
is used by
ocs-dups-ex,
- nat/le-add
is used by
delapp,
app-all-beg,
- nat/le-def
is used by
ocs-sw,
rest,
del,
app-beg-end,
subdel-03,
app-end-end,
delapp,
c,
subrec-01,
oc-del-02,
ocnodups,
subsize,
oc-del,
subdel-01,
del-02,
perm-all,
subrec,
nodups,
subapp-02,
size-perm,
ocnodups-01,
ocone,
ref,
app-beg-beg,
subdel,
subdel-02,
subapp-03,
diff,
sub-del,
filter,
trans,
ad,
- nat/le-ls-simp
is used by
app-beg-end,
subdel-03,
app-end-end,
c,
oc-del-02,
perm-all,
subrec,
app-beg-beg,
diff,
filter,
trans,
- nat/le-num-06
is used by
perm-dups,
in-01,
subrec,
- nat/le-one
is used by
subdel-02,
- nat/lels
is used by
ocs-sw,
ocs-put,
in-put,
subdel-03,
ocs-put-01,
subsize,
subrec,
ocs-put-02,
- nat/lels-02
is used by
l,
perm-all,
ocone,
- nat/lep
is used by
app-all-beg,
- nat/lep-02
is used by
rest,
app-beg-end,
app-end-end,
c,
subrec-01,
subsize,
app-beg-beg,
ad,
- nat/ler
is used by
delapp,
perm-all,
- nat/let
is used by
subdel-03,
- nat/lez
is used by
in-put,
subrec-01,
subempty,
diff,
filter,
- nat/lez-01
is used by
subdel-03,
ocnodups,
subsize,
in,
diff,
filter,
- nat/ls
is used by
delapp,
oc-del-02,
oc-del,
- nat/ls-01
is used by
subdel-01,
del-02,
ad,
- nat/ls-02
is used by
subdel-03,
delapp,
subrec,
subdel-02,
- nat/ls-03
is used by
del,
del-02,
subdel-02,
ad,
- nat/ls-le-simp
is used by
ocs-sw,
del,
del-02,
subrec,
subdel-02,
sub-del,
- nat/one-02
is used by
ocnodups,
- nat/pred-03
is used by
ocs-sw,
in-put,
del-04,
del,
subdel-03,
delapp,
oc-del-02,
del-05,
oc-del,
subdel-01,
del-02,
perm-put-del1,
subrec,
ocs-put-02,
subdel-02,
ocs-del1-if,
oc-del-01,
del1,
ad,
- nat/sub-ls
is used by
subdel-03,
oc-del-02,
subrec,
ad,
- nat/succ-01
is used by
ocs-put,
in-put,
subdel-03,
delapp,
ocs-put-01,
subsize,
subrec,
ocs-put-02,
subdel-02,
Used from specification list-set
- list-set/diff-y
is used by
oc-diff-01,
- list-set/filt-y
is used by
oc-filt,
- list-set/subset
is used by
subperm,
subperm-01,
- list-set/diff-e
is used by
oc-diff-01,
- list-set/diff-n
is used by
oc-diff-01,
- list-set/filt-e
is used by
oc-filt,
- list-set/filt-n
is used by
oc-filt,
- list-set/notin-01
is used by
oc-diff,
- list-set/notin-02
is used by
oc-filt-01,
- list-set/sub-in
is used by
subperm-01,
- list-set/sub-notin
is used by
subperm,
Used from specification list-dup
- list-dup/adjoin-notin
is used by
oc-adjoin,
adjoin,
- list-dup/dups
is used by
perm-dups,
ocs-dups-ex,
- list-dup/dups-eqsize-02
is used by
size-perm,
- list-dup/adjoin-in
is used by
oc-adjoin,
adjoin,
- list-dup/app-01-02
is used by
perm-dups-03,
- list-dup/app-05
is used by
perm-dups-02,
- list-dup/in-08
is used by
adjoin,
- list-dup/rec
is used by
ocnodups,
ocs-dups-ex,
oc-dups,
- list-dup/rm-empty
is used by
perm-rmdup-rev,
- list-dup/rm-in-02
is used by
perm-rmdup-rev,
- list-dup/rmdup-e
is used by
perm-rmdup-rev,
Used from specification list-getput
Used from specification list-data
- list-data/elim-list-c
is used by
delapp,
perm-mklist,
- list-data/l
is used by
ocs-sw,
ocs-put,
in-put,
perm-swap,
l,
ocs-put-01,
subsize,
perm-put-del1,
perm-put,
ocs-put-02,
perm-switch,
- list-data/size-nil
is used by
ocs-same-length-all,
ocs-not-more,
ocs-same-length-mklist,
subsize,
ocs-put-02,
Used from specification nat-basic
- nat-basic/a
is used by
ocs-sw,
ocs-put,
ocs-same-length-all,
rest,
in-put,
del-04,
app-beg-end,
subdel-03,
app-end-end,
oc-diff-01,
delapp,
ocs-not-more,
c,
ocs-put-01,
subrec-01,
perm-dups,
oc-del-02,
ocs-same-length-mklist,
ocnodups,
subsize,
ocappend,
del-05,
oc-del,
in-01,
subdel-01,
ocs-del-length,
del-02,
perm-put-del1,
subrec,
subapp-02,
ocs-mklist,
ocs-put-02,
ocs-del-del1,
app-beg-beg,
subdel-02,
oc-filt,
in-05,
subapp-03,
ocs-del1,
ocs-dups-ex,
one,
oc-del-01,
app-all-beg,
perm-mklist,
notin,
del1,
oc-dups,
del1-01,
ad,
- nat-basic/add-base
is used by
ocs-sw,
ocs-put,
ocs-same-length-all,
in-put,
oc-diff-01,
ocs-not-more,
ocs-put-01,
subrec-01,
ocs-same-length-mklist,
ocnodups,
ocappend,
ocs-del-length,
perm-put-del1,
subrec,
ocs-mklist,
ocs-put-02,
ocs-del-del1,
oc-filt,
oc-del-01,
perm-mklist,
notin,
del1,
oc-dups,
del1-01,
- nat-basic/c
is used by
ocs-sw,
ocs-put,
ocs-same-length-all,
rest,
in-put,
del-04,
app-beg-end,
subdel-03,
app-end-end,
oc-diff-01,
delapp,
ocs-not-more,
c,
ocs-put-01,
subrec-01,
perm-dups,
oc-del-02,
ocs-same-length-mklist,
ocnodups,
subsize,
ocappend,
del-05,
oc-del,
in-01,
subdel-01,
ocs-del-length,
del-02,
perm-put-del1,
subrec,
subapp-02,
ocs-mklist,
shift-02,
ocs-put-02,
ocs-del-del1,
app-beg-beg,
subdel-02,
oc-filt,
in-05,
subapp-03,
ocs-del1,
ocs-dups-ex,
one,
oc-del-01,
app-all-beg,
perm-mklist,
notin,
del1,
oc-dups,
del1-01,
ad,
- nat-basic/eq-01
is used by
ocs-put,
del-04,
oc-diff-01,
ocs-put-01,
ocs-same-length-mklist,
ocappend,
ocs-del-length,
oc-filt,
del1,
del1-01,
- nat-basic/eq-02
is used by
ocs-sw,
del-05,
- nat-basic/f
is used by
ocs-sw,
ocs-put,
in-put,
perm-swap,
del,
app-beg-end,
subdel-03,
app-end-end,
delapp,
l,
ocs-not-more,
c,
ocs-put-01,
oc-del-02,
subsize,
oc-del,
subdel-01,
del-02,
perm-put-del1,
perm-all,
subrec,
nodups,
subapp-02,
perm-put,
size-perm,
ocs-put-02,
app-beg-beg,
subdel,
subdel-02,
subapp-03,
diff,
sub-del,
oc,
filter,
trans,
perm-switch,
oc-dups,
ad,
- nat-basic/l
is used by
ocs-not-more,
subdel-01,
ad,
- nat-basic/l-02
is used by
delapp,
oc-del,
subapp-02,
subapp-03,
- nat-basic/less-zero
is used by
delapp,
subsize,
ocs-put-02,
- nat-basic/lf
is used by
subdel-03,
subrec,
- nat-basic/lf-01
is used by
perm-all,
- nat-basic/lf-02
is used by
ocs-sw,
perm-all,
- nat-basic/ls-02
is used by
l,
perm-all,
- nat-basic/nls-fst
is used by
ocs-not-more,
- nat-basic/one
is used by
in-put,
ocnodups,
ocone,
ocs-del1,
ocs-dups-ex,
- nat-basic/one-01
is used by
ocs-sw,
del,
subdel-03,
delapp,
oc-del-02,
oc-del,
subdel-01,
del-02,
subrec,
nodups,
size-perm,
ocnodups-01,
ocone,
subdel-02,
oc-dups,
ad,
- nat-basic/one-03
is used by
in-put,
ocs-del1,
ocs-dups-ex,
oc-dups,
- nat-basic/one-06
is used by
ocs-del-del1,
- nat-basic/oz
is used by
ocs-put,
ocs-same-length-all,
in-put,
ocs-put-01,
ocs-same-length-mklist,
ocs-mklist,
ocs-put-02,
oc-del-01,
app-all-beg,
perm-mklist,
del1,
- nat-basic/pred
is used by
perm-put-del1,
- nat-basic/refl-nat
is used by
rest,
ocs-same-length-mklist,
subsize,
oc-del,
subdel-01,
del-02,
perm-all,
ref,
subdel-02,
oc,
ad,
- nat-basic/s-04
is used by
ocs-put,
in-put,
ocs-put-01,
ocs-same-length-mklist,
subsize,
subdel-01,
del-02,
subrec,
ocs-put-02,
ad,
- nat-basic/succ
is used by
subdel-03,
subrec,
ocs-put-02,
perm-mklist,
- nat-basic/trans-nat
is used by
subdel-03,
subrec,
- nat-basic/z-01
is used by
subdel-01,
in-05,
oc-del-01,
ad,
- nat-basic/z-02
is used by
delapp,
subsize,
- nat-basic/zero
is used by
diff,
filter,
Used from specification list
- list/c-06
is used by
ocs-same-length-all,
ocs-same-length-mklist,
- list/in-def
is used by
subsize,
- list/Last
is used by
perm-rev,
- list/Nil
is used by
subapp-01,
subapp,
app-all-end,
ocappend,
perm-same-prefix,
perm-last-rec,
app-end-all,
shift-03,
- list/a
is used by
ocs-put,
del-01,
ocs-same-length-all,
rest,
app-end-in,
papp-01,
subapp-01,
in-put,
in-03,
perm-common-postfix,
del,
app-beg-end,
perm-rmdup-rev,
app-end-end,
subapp,
oc-diff-01,
delapp,
ocs-not-more,
one-01,
shift,
c,
perm-mklist-del,
ocs-put-01,
subrec-01,
app-all-end,
papp,
perm-dups,
shift-01,
ocs-same-length-mklist,
ocnodups,
app-in-in,
perm-dups-03,
oc-adjoin,
subsize,
ocappend,
in-01,
subdel-01,
ocs-del-length,
papp-02,
subrec,
perm-same-prefix,
adjoin,
a,
subapp-02,
perm-rmcommon-beg-beg,
perm-shift-out2,
app-beg-in,
perm-rec,
perm-rmv-in,
perm-one,
app-in-beg,
perm-last-rec,
ocs-mklist,
shift-02,
perm-com1,
ocs-put-02,
app-beg-all,
ocs-del-del1,
perm-common-prefix,
in-02,
perm-rmv-in-list,
app-beg-beg,
app-attach,
cons,
oc-filt,
in-05,
perm-com2,
subapp-03,
app-end-all,
rec,
ocs-del1,
perm-rmcommon-beg-end,
ocs-dups-ex,
shift-03,
papp-03,
perm-rmcommon-end-end,
one,
app-in-end,
perm-rev,
oc-del-01,
rec-01,
app-all-beg,
perm-shift-in2,
perm-mklist,
notin,
del1,
empty-01,
perm-dups-02,
app-end-beg,
oc-dups,
del1-01,
ad,
- list/app
is used by
one-01,
perm-mklist-del,
perm-one,
app-beg-all,
one,
- list/app-01
is used by
ocs-mklist,
ocs-del-del1,
- list/c
is used by
ocs-put,
ocs-same-length-all,
subapp-01,
in-put,
perm-rmdup-rev,
subapp,
oc-diff-01,
delapp,
ocs-not-more,
perm-mklist-del,
ocs-put-01,
subrec-01,
app-all-end,
perm-dups,
ocs-same-length-mklist,
ocnodups,
oc-adjoin,
subsize,
ocappend,
ocs-del-length,
adjoin,
perm-rmv-in,
perm-one,
perm-last-rec,
ocs-mklist,
ocs-put-02,
ocs-del-del1,
oc-filt,
in-05,
ocs-del1,
ocs-dups-ex,
shift-03,
perm-rev,
app-all-beg,
perm-mklist,
notin,
del1,
empty-01,
oc-dups,
del1-01,
- list/c-03
is used by
perm-one,
- list/c-04
is used by
perm-one,
- list/c-07
is used by
ocs-put,
ocs-put-01,
ocs-put-02,
- list/e
is used by
perm-one,
perm-last-rec,
- list/e-01
is used by
ocs-put,
delapp,
ocs-put-01,
app-all-end,
subsize,
ocs-mklist,
ocs-put-02,
app-all-beg,
perm-mklist,
empty-01,
- list/in-01
is used by
in-put,
rec,
ocs-del1,
ocs-dups-ex,
perm-mklist,
- list/in-06
is used by
in-put,
perm-mklist-del,
notin,
- list/in-10
is used by
adjoin,
- list/in-11
is used by
subapp,
- list/in-12
is used by
subapp-01,
oc-del-01,
- list/in-14
is used by
ocs-mklist,
perm-mklist,
- list/in-17
is used by
ocs-same-length-all,
in-put,
ocs-not-more,
subrec-01,
perm-one,
perm-last-rec,
in-05,
ocs-del1,
ocs-dups-ex,
shift-03,
del1,
oc-dups,
- list/in-append
is used by
ocs-same-length-all,
ocs-not-more,
subrec-01,
in-05,
ocs-del1,
ocs-dups-ex,
shift-03,
del1,
- list/in-empty
is used by
ocs-same-length-all,
perm-last-rec,
in-05,
ocs-del1,
ocs-dups-ex,
perm-mklist,
empty-01,
oc-dups,
- list/in-rec
is used by
ocs-dups-ex,
oc-dups,
- list/len
is used by
ocs-put,
ocs-same-length-all,
in-put,
ocs-not-more,
ocs-put-01,
ocs-same-length-mklist,
subsize,
- list/len-02
is used by
ocs-put,
ocs-same-length-all,
in-put,
ocs-not-more,
ocs-put-01,
ocs-same-length-mklist,
subsize,
- list/len-05
is used by
ocs-put-02,
Used from specification list-del
- list-del/del-n
is used by
ocs-del-length,
- list-del/del-rev
is used by
perm-rmdup-rev,
- list-del/del1-del-switch
is used by
perm-mklist-del,
- list-del/del1-empty
is used by
perm-last-rec,
- list-del/del1-first
is used by
perm-mklist,
- list-del/del1-n
is used by
del1-01,
- list-del/in-del-new
is used by
perm-del-01,
- list-del/put-rec-02
is used by
in-put,
ocs-put-02,
- list-del/rmdup-del1-del
is used by
perm-rmdup-rev,
- list-del/sw-02
is used by
perm-last-rec,
shift-03,
- list-del/app
is used by
subapp,
- list-del/del-e
is used by
ocs-del-length,
ocs-mklist,
- list-del/del-n
is used by
ocs-del-length,
ocs-mklist,
ocs-del-del1,
- list-del/del-y
is used by
ocs-del-length,
ocs-mklist,
ocs-del-del1,
- list-del/del1-del
is used by
subdel-03,
subdel-02,
- list-del/del1-e
is used by
subrec-01,
perm-last-rec,
perm-mklist,
del1-01,
- list-del/del1-in
is used by
del-04,
perm-put-del1,
perm-last-rec,
shift-03,
- list-del/del1-n
is used by
subrec-01,
ocs-del-del1,
rec,
ocs-del1,
perm-mklist,
del1,
del1-01,
- list-del/del1-y
is used by
subrec-01,
adjoin,
ocs-del-del1,
ocs-del1,
del1,
del1-01,
- list-del/get-in
is used by
ocs-sw,
perm-put-del1,
ocs-put-02,
- list-del/get-succ
is used by
ocs-put-02,
- list-del/get-zero
is used by
ocs-put,
ocs-put-01,
ocs-put-02,
- list-del/in-01-01
is used by
del-04,
oc-del-02,
oc-del,
perm-put-del1,
subdel-02,
shift-03,
- list-del/in-02
is used by
perm-del-in,
ocs-del,
- list-del/in-02-01
is used by
del-04,
subdel-03,
delapp,
del-05,
perm-put-del1,
ocs-del1-if,
shift-03,
oc-del-01,
- list-del/in-03
is used by
subdel-03,
ocs-del-del1,
- list-del/in-05
is used by
ocs-del1,
shift-03,
- list-del/in-del-new
is used by
perm-mklist-del,
perm-del-01,
sub-del,
- list-del/one-01
is used by
perm-one,
perm-last-rec,
- list-del/put-del1-in
is used by
perm-put-del1,
- list-del/put-in
is used by
perm-put-del1,
- list-del/put-in-02
is used by
perm-put,
- list-del/put-succ
is used by
ocs-put,
ocs-put-01,
ocs-put-02,
- list-del/put-sw-in
is used by
perm-swap,
perm-switch,
- list-del/put-zero
is used by
ocs-put,
in-put,
ocs-put-01,
ocs-put-02,