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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-del
- list-del/partition/get-append-grt
is used by
resetcount-elem,
NEWPARTS-theorem,
- list-del/partition/get-append-less
is used by
resetcnt-mod-cnt,
NEWPARTS-theorem,
- list-del/partition/get-in
is used by
NEWPARTS-theorem,
- list-del/partition/get-numrec
is used by
partitions-mod-count,
Fok-mod-cnt,
- list-del/partition/get-rec
is used by
NEWPARTS-theorem,
- list-del/partition/get-zero
is used by
NEWPARTS-theorem,
- list-del/partition/in-get
is used by
REFINEONE-theorem,
NEWPARTS-theorem,
- list-del/partition/put-at
is used by
partitions-mod-count,
REFINEONE-theorem,
Fok-mod-cnt,
- list-del/partition/put-length
is used by
REFINEONE-theorem,
- list-del/partition/put-rec-02
is used by
partitions-mod-count,
Fok-mod-cnt,
- list-del/partition/get-app
is used by
NEWPARTS-theorem,
- list-del/partition/get-append-grt
is used by
resetcnt-mod-cnt,
NEWPARTS-theorem,
- list-del/partition/get-append-grt-02
is used by
NEWPARTS-theorem,
- list-del/partition/get-append-less
is used by
resetcount-elem,
NEWPARTS-theorem,
- list-del/partition/get-in
is used by
REFINEONE-theorem,
- list-del/partition/get-last-03
is used by
NEWPARTS-theorem,
- list-del/partition/get-succ
is used by
resetcount-elem,
partitions-mod-count,
NEWPARTS-theorem,
Fok-mod-cnt,
- list-del/partition/get-zero-01
is used by
resetcount-elem,
partitions-mod-count,
NEWPARTS-theorem,
Fok-mod-cnt,
- list-del/partition/one-03
is used by
resetcount-elem,
resetcnt-mod-cnt,
NEWPARTS-theorem,
Fok-mod-cnt,
- list-del/partition/put-app-left
is used by
resetcnt-mod-cnt,
- list-del/partition/put-at-eq
is used by
partitions-mod-count,
REFINEONE-theorem,
Fok-mod-cnt,
- list-del/partition/put-length
is used by
partitions-mod-count,
REFINEONE-theorem,
Fok-mod-cnt,
- list-del/partition/put-one
is used by
resetcnt-mod-cnt,
Fok-mod-cnt,
- list-del/partition/put-succ
is used by
resetcnt-mod-cnt,
- list-del/partition/put-zero
is used by
partitions-mod-count,
Fok-mod-cnt,
Used from specification array
Used from specification nat-basic1
- nat-basic1/f
is used by
split-init-2,
resetcnt-mod-cnt,
partitions-mod-count,
one-oc,
nodups-oc-2,
nodups-oc,
nodups-numoc,
no-oc,
elem-does-occur,
REFINEONE-theorem,
REFINE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
Fok-lem,
- nat-basic1/lf
is used by
partitions-mod-count,
nodups-oc-2,
nodups-oc,
REFINEONE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat-basic1/lf-01
is used by
partitions-mod-count,
nodups-oc,
REFINEONE-theorem,
NEWPARTS-theorem,
- nat-basic1/lf-02
is used by
partitions-mod-count,
one-oc,
nodups-oc,
nodups-numoc,
REFINEONE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat-basic1/ls-02
is used by
one-oc,
nodups-oc,
no-oc,
REFINEONE-theorem,
NEWPARTS-theorem,
- nat-basic1/ls-03
is used by
REFINEONE-theorem,
- nat-basic1/neq-01
is used by
one-oc,
REFINEONE-theorem,
NEWPARTS-theorem,
- nat-basic1/one
is used by
nodups-perm,
nodups-numoc,
NEWPARTS-theorem,
- nat-basic1/one-01
is used by
resetcount-elem,
resetcnt-mod-cnt,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat-basic1/ref-1
is used by
one-oc,
no-oc,
REFINEONE-theorem,
REFINE-theorem,
NEWPARTS-theorem,
- nat-basic1/trans-1
is used by
partitions-mod-count,
nodups-oc-2,
nodups-oc,
REFINEONE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat-basic1/zero
is used by
nodups-oc,
NEWPARTS-theorem,
- nat-basic1/zero-01
is used by
split-init-2,
resetcnt-mod-cnt,
one-oc,
nodups-oc,
no-oc,
Fok-mod-cnt,
Used from specification partelem
- partelem/inj
is used by
NEWPARTS-theorem,
- partelem/sel-03
is used by
REFINEONE-theorem,
- partelem/sel-04
is used by
REFINEONE-theorem,
- partelem/sel-05
is used by
REFINEONE-theorem,
- partelem/elim
is used by
startorfin-reset,
split-init-2,
partitions-mod-count,
REFINEONE-theorem,
REFINE-theorem,
NEWPARTS-theorem,
MAIN-theorem,
Fok-lem,
- partelem/inj
is used by
resetcount-elem,
partitions-mod-count,
REFINEONE-theorem,
- partelem/sel-03
is used by
startorfin-reset,
split-init-2,
partitions-mod-count,
in-mod-count,
REFINEONE-theorem,
REFINE-theorem,
NEWPARTS-theorem,
Fok-lem,
- partelem/sel-04
is used by
startorfin-reset,
partitions-mod-count,
in-mod-count,
REFINEONE-theorem,
NEWPARTS-theorem,
Fok-lem,
- partelem/sel-05
is used by
split-init-2,
REFINEONE-theorem,
REFINE-theorem,
NEWPARTS-theorem,
MAIN-theorem,
- partelem/upd-03
is used by
resetcount-elem,
resetcnt-mod-cnt,
resetcnt-idem,
member-reset,
REFINEONE-theorem,
REFINE-theorem,
Used from specification nat-basic2
- nat-basic2/a
is used by
split-init-2,
resetcount-elem,
resetcnt-mod-cnt,
resetcnt-length,
partitions-mod-count,
one-oc,
nodups-oc,
no-oc,
REFINEONE-theorem,
REFINE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat-basic2/ax-08
is used by
split-init-2,
one-oc,
nodups-oc,
no-oc,
REFINE-theorem,
NEWPARTS-theorem,
- nat-basic2/between
is used by
NEWPARTS-theorem,
- nat-basic2/c
is used by
split-init-2,
resetcount-elem,
resetcnt-mod-cnt,
resetcnt-length,
partitions-mod-count,
one-oc,
nodups-oc,
no-oc,
REFINEONE-theorem,
REFINE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat-basic2/eq
is used by
NEWPARTS-theorem,
- nat-basic2/eq-01
is used by
resetcnt-length,
REFINEONE-theorem,
NEWPARTS-theorem,
- nat-basic2/eq-inc-neq
is used by
NEWPARTS-theorem,
- nat-basic2/eqs
is used by
NEWPARTS-theorem,
- nat-basic2/l
is used by
REFINEONE-theorem,
NEWPARTS-theorem,
- nat-basic2/l-01
is used by
REFINEONE-theorem,
NEWPARTS-theorem,
- nat-basic2/l-02
is used by
NEWPARTS-theorem,
- nat-basic2/neq-01
is used by
NEWPARTS-theorem,
- nat-basic2/nls-fst
is used by
nodups-oc,
- nat-basic2/one
is used by
one-oc,
nodups-oc,
- nat-basic2/one-03
is used by
one-oc,
- nat-basic2/oz
is used by
resetcount-elem,
resetcnt-mod-cnt,
partitions-mod-count,
no-oc,
REFINEONE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat-basic2/s
is used by
resetcnt-mod-cnt,
partitions-mod-count,
one-oc,
nodups-oc,
no-oc,
REFINEONE-theorem,
REFINE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat-basic2/succ
is used by
one-oc,
nodups-oc-2,
nodups-oc,
no-oc,
REFINEONE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat-basic2/succ-03
is used by
REFINEONE-theorem,
NEWPARTS-theorem,
- nat-basic2/z-01
is used by
nodups-oc,
no-oc,
Used from specification array-perm
- array-perm/array_of_nat/perm-def
is used by
nodups-perm,
- array-perm/array_of_nat/perm-swap
is used by
REFINEONE-theorem,
- array-perm/array_of_nat/nonzero-numoc
is used by
elem-below-occurs,
- array-perm/array_of_nat/numoc-base
is used by
one-oc,
nodups-oc,
no-oc,
- array-perm/array_of_nat/numoc-rec
is used by
one-oc,
nodups-oc,
no-oc,
- array-perm/array_of_nat/perm-refl
is used by
REFINEONE-theorem,
REFINE-theorem,
- array-perm/array_of_nat/perm-trans
is used by
REFINE-theorem,
Used from specification list
- list/partition/Last
is used by
NEWPARTS-theorem,
- list/list_of_nat/Last
is used by
REFINEONE-theorem,
REFINE-theorem,
- list/partition/Nil
is used by
NEWPARTS-theorem,
- list/list_of_nat/a
is used by
REFINEONE-theorem,
REFINE-theorem,
- list/partition/a
is used by
split-init-2,
resetcount-elem,
resetcnt-mod-cnt,
resetcnt-length,
resetcnt-idem,
partitions-mod-count,
member-reset,
divides-reset,
divides-XornoX-head,
REFINE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
- list/partition/app
is used by
resetcnt-mod-cnt,
NEWPARTS-theorem,
Fok-mod-cnt,
- list/list_of_nat/app
is used by
REFINE-theorem,
- list/partition/app-01
is used by
resetcnt-mod-cnt,
- list/partition/app-02-ant
is used by
NEWPARTS-theorem,
- list/list_of_nat/app-03
is used by
REFINE-theorem,
- list/partition/app-03
is used by
resetcnt-mod-cnt,
NEWPARTS-theorem,
- list/partition/app-05
is used by
NEWPARTS-theorem,
- list/list_of_nat/app-05
is used by
REFINE-theorem,
- list/partition/c
is used by
split-init-2,
resetcount-elem,
resetcnt-mod-cnt,
resetcnt-length,
resetcnt-idem,
partitions-mod-count,
member-reset,
divides-reset,
REFINE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
- list/list_of_nat/c
is used by
REFINE-theorem,
- list/partition/c-04
is used by
resetcnt-mod-cnt,
- list/partition/c-06
is used by
resetcnt-idem,
REFINE-theorem,
- list/partition/e
is used by
NEWPARTS-theorem,
- list/partition/e-01
is used by
resetcnt-mod-cnt,
partitions-mod-count,
NEWPARTS-theorem,
Fok-mod-cnt,
- list/list_of_nat/e-01
is used by
REFINE-theorem,
- list/partition/e-02
is used by
NEWPARTS-theorem,
- list/partition/e-03
is used by
NEWPARTS-theorem,
- list/partition/first-02
is used by
NEWPARTS-theorem,
- list/partition/fr
is used by
NEWPARTS-theorem,
- list/partition/in-06
is used by
member-reset,
- list/partition/in-14
is used by
NEWPARTS-theorem,
- list/partition/in-15
is used by
NEWPARTS-theorem,
- list/list_of_nat/in-17
is used by
REFINEONE-theorem,
- list/partition/in-17
is used by
split-init-2,
member-reset,
divides-reset,
divides-XornoX-head,
REFINE-theorem,
NEWPARTS-theorem,
- list/list_of_nat/in-append
is used by
REFINEONE-theorem,
- list/partition/in-append
is used by
split-init-2,
member-reset,
divides-reset,
divides-XornoX-head,
REFINE-theorem,
NEWPARTS-theorem,
- list/list_of_nat/in-empty
is used by
split-init-2,
REFINE-theorem,
- list/partition/in-empty
is used by
split-init-2,
member-reset,
empty-divides,
NEWPARTS-theorem,
- list/partition/inapp-02
is used by
NEWPARTS-theorem,
- list/partition/len
is used by
resetcnt-mod-cnt,
resetcnt-length,
partitions-mod-count,
NEWPARTS-theorem,
Fok-mod-cnt,
- list/list_of_nat/len
is used by
REFINE-theorem,
- list/partition/len-02
is used by
resetcount-elem,
resetcnt-mod-cnt,
resetcnt-length,
partitions-mod-count,
NEWPARTS-theorem,
Fok-mod-cnt,
- list/list_of_nat/len-02
is used by
REFINE-theorem,
Used from specification list-data
- list-data/list_of_nat/elim-list-c
is used by
REFINE-theorem,
- list-data/partition/elim-list-c
is used by
NEWPARTS-theorem,
- list-data/partition/l
is used by
resetcnt-mod-cnt,
partitions-mod-count,
REFINEONE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
Fok-lem,
- list-data/partition/length-rest
is used by
NEWPARTS-theorem,
- list-data/partition/size-01
is used by
split-init-2,
resetcnt-mod-cnt,
resetcnt-length,
Fok-mod-cnt,
Used from specification nat
- nat/one-02
is used by
nodups-numoc,
- nat/add-num-03
is used by
NEWPARTS-theorem,
- nat/anti
is used by
one-oc,
nodups-oc,
no-oc,
REFINEONE-theorem,
NEWPARTS-theorem,
- nat/cancel-01
is used by
NEWPARTS-theorem,
- nat/elim-pred-c
is used by
resetcount-elem,
resetcnt-mod-cnt,
partitions-mod-count,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat/elim-sub
is used by
NEWPARTS-theorem,
- nat/eq
is used by
NEWPARTS-theorem,
- nat/eq-01
is used by
NEWPARTS-theorem,
- nat/eqle-one
is used by
REFINEONE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat/fle
is used by
partitions-mod-count,
REFINEONE-theorem,
NEWPARTS-theorem,
- nat/fle-01
is used by
partitions-mod-count,
nodups-oc,
REFINEONE-theorem,
NEWPARTS-theorem,
Fok-lem,
- nat/l-num-01
is used by
NEWPARTS-theorem,
- nat/le-add
is used by
REFINEONE-theorem,
NEWPARTS-theorem,
- nat/le-ls-simp
is used by
partitions-mod-count,
nodups-oc,
REFINEONE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat/le-one
is used by
REFINEONE-theorem,
NEWPARTS-theorem,
- nat/lels
is used by
resetcnt-mod-cnt,
partitions-mod-count,
one-oc,
nodups-oc,
no-oc,
REFINEONE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat/lels-01
is used by
partitions-mod-count,
nodups-perm,
nodups-numoc,
REFINEONE-theorem,
NEWPARTS-theorem,
- nat/lels-02
is used by
nodups-oc,
NEWPARTS-theorem,
- nat/lels-03
is used by
one-oc,
nodups-oc,
REFINEONE-theorem,
NEWPARTS-theorem,
- nat/lels-04
is used by
REFINEONE-theorem,
- nat/lep
is used by
REFINEONE-theorem,
NEWPARTS-theorem,
- nat/lep-02
is used by
REFINEONE-theorem,
NEWPARTS-theorem,
- nat/ler
is used by
elem-does-occur,
REFINEONE-theorem,
NEWPARTS-theorem,
- nat/les
is used by
REFINEONE-theorem,
NEWPARTS-theorem,
- nat/let
is used by
partitions-mod-count,
REFINEONE-theorem,
NEWPARTS-theorem,
Fok-lem,
- nat/lez
is used by
resetcnt-mod-cnt,
partitions-mod-count,
nodups-oc,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat/lez-01
is used by
resetcnt-mod-cnt,
Fok-mod-cnt,
- nat/ls-01
is used by
NEWPARTS-theorem,
- nat/ls-le-simp
is used by
split-init-2,
partitions-mod-count,
REFINEONE-theorem,
REFINE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat/not-zero
is used by
Fok-mod-cnt,
- nat/one-02
is used by
nodups-perm,
- nat/pred-03
is used by
partitions-mod-count,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat/succ-01
is used by
resetcnt-mod-cnt,
partitions-mod-count,
nodups-oc,
REFINEONE-theorem,
NEWPARTS-theorem,
Fok-mod-cnt,
- nat/zero
is used by
NEWPARTS-theorem,
Used from specification set-union
Used from specification store
Used from specification set-basic