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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 list-del
- list-del/indexseq-stackseq/get-rec
is used by
orderedl-at,
coversi-append,
covers-rem,
- list-del/indexseq-stackseq/put-at
is used by
pushx-covers,
- list-del/get-app
is used by
pushx-cut-seq,
- list-del/get-append-less
is used by
tolist-cut-seq,
pushx-inv,
pushx-cut-seq,
pushix-to-push,
precedes-append,
- list-del/indexseq-stackseq/get-append-less
is used by
pushx-covers,
- list-del/get-last-03
is used by
tolist-single,
pushx-inv,
pushx-cut-seq,
pushix-to-push,
- list-del/indexseq-stackseq/get-last-03
is used by
pushx-covers,
- list-del/indexseq-stackseq/get-succ
is used by
theoremx-atmost-h,
pushx-nonrec,
- list-del/indexseq-stackseq/get-zero-01
is used by
theoremx-atmost-h,
pushx-nonrec,
orderedl-at,
coversi-append,
covers-rem,
- list-del/indexseq-stackseq/one-03
is used by
orderedl-at,
- list-del/indexseq-stackseq/put-at-eq
is used by
pushx-covers,
- list-del/indexseq-stackseq/put-length
is used by
pushx-covers,
- list-del/indexseq-stackseq/put-succ
is used by
pushx-nonrec,
- list-del/indexseq-stackseq/put-zero
is used by
pushx-nonrec,
Used from specification nat-basic1
- nat-basic1/f
is used by
tolist-cut-seq,
theoremx-atmost-h,
theoremx,
solixh-ordered,
solixh-inv,
solixh-covers,
pushx-ordered,
pushx-nonrec,
pushx-inv-gen,
pushx-inv,
pushx-cut-seq,
pushx-covers,
pushix-to-push,
precedesex-solixh,
precedesex-pushix,
precedes-trans,
precedes-irrefl,
precedes-append,
orderedl-at,
ordered-precedes-h,
ordered-precedes,
coversi-append,
covers-rem,
ascsubseq-rem,
ascsubseq-in-size,
allls-incbound,
allls-in,
- nat-basic1/lf
is used by
theoremx-atmost-h,
theoremx,
pushx-ordered,
pushx-inv-gen,
precedesex-pushix,
precedes-trans,
precedes-irrefl,
precedes-append,
ordered-precedes-h,
ascsubseq-rem,
ascsubseq-in-size,
- nat-basic1/lf-01
is used by
theoremx,
solixh-ordered,
solixh-inv,
solixh-covers,
precedesex-solixh,
precedesex-pushix,
- nat-basic1/lf-02
is used by
theoremx,
pushx-covers,
precedesex-pushix,
ascsubseq-in-size,
- nat-basic1/ls-02
is used by
theoremx,
pushx-inv-gen,
pushx-inv,
pushx-covers,
precedes-irrefl,
precedes-append,
ordered-precedes-h,
ordered-precedes,
ascsubseq-rem,
ascsubseq-in-size,
- nat-basic1/zero
is used by
covers-empty,
- nat-basic1/zero-01
is used by
theoremx-atmost-h,
solix-covers,
pushx-nonrec,
orderedl-at,
coversi-empty,
covers-empty,
ascsubseq-empty,
Used from specification oelem
- oelem/indexseq/irreflexivity
is used by
theoremx-atleast-ind,
pushx-inv-gen,
pushx-inv,
pushx-covers,
precedes-notsame,
ascsubseq-in-size,
- oelem/indexseq/ls-le
is used by
pushx-inv-gen,
- oelem/nll
is used by
ordered-precedes-h,
ascsubseq-rem,
- oelem/nnn
is used by
ordered-precedes-h,
- oelem/indexseq/transitivity
is used by
theoremx-atmost-h,
theoremx,
pushx-ordered,
pushx-inv-gen,
precedesex-pushix,
precedes-trans,
precedes-irrefl,
precedes-append,
ordered-precedes-h,
ascsubseq-rem,
ascsubseq-in-size,
- oelem/transitivity
is used by
precedes-trans,
ascsubseq-rem,
Used from specification nat-basic2
- nat-basic2/a
is used by
tolist-size,
theoremx-atmost-h,
theoremx-atleast-ind,
theoremx-atleast,
solixh-to-solitaireh,
solixh-ordered,
solixh-inv,
solixh-covers,
pushx-nonrec,
pushx-inv-gen,
pushx-inv,
pushx-covers,
precedesex-solixh,
precedes-trans,
precedes-append,
orderedl-at,
inv-incbound,
coversi-append,
covers-rem,
allls-incbound,
- nat-basic2/c
is used by
tolist-size,
theoremx-atmost-h,
theoremx-atleast-ind,
theoremx-atleast,
solixh-to-solitaireh,
solixh-ordered,
solixh-inv,
solixh-covers,
pushx-nonrec,
pushx-inv-gen,
pushx-inv,
pushx-covers,
precedesex-solixh,
precedes-trans,
precedes-append,
orderedl-at,
inv-incbound,
coversi-append,
covers-rem,
allls-incbound,
- nat-basic2/eq-01
is used by
tolist-size,
theoremx-atleast-ind,
theoremx-atleast,
- nat-basic2/eq-inc-neq
is used by
solixh-ordered,
solixh-inv,
solixh-covers,
precedesex-solixh,
- nat-basic2/eqs
is used by
solixh-ordered,
solixh-inv,
solixh-covers,
precedesex-solixh,
- nat-basic2/l
is used by
theoremx-atmost-h,
- nat-basic2/l-02
is used by
solixh-to-solitaireh,
solixh-ordered,
solixh-inv,
solixh-covers,
precedesex-solixh,
allls-incbound,
- nat-basic2/nls-fst
is used by
theoremx-atmost-h,
- nat-basic2/oz
is used by
orderedl-at,
coversi-append,
covers-rem,
- nat-basic2/s
is used by
theoremx-atmost-h,
theoremx-atleast-ind,
solixh-to-solitaireh,
solixh-ordered,
solixh-inv,
solixh-covers,
pushx-nonrec,
pushx-inv-gen,
pushx-inv,
pushx-covers,
precedesex-solixh,
precedes-append,
orderedl-at,
coversi-append,
covers-rem,
- nat-basic2/succ
is used by
theoremx-atmost-h,
theoremx,
solixh-ordered,
solixh-inv,
solixh-covers,
pushx-ordered,
pushx-inv-gen,
precedesex-solixh,
precedesex-pushix,
precedes-trans,
precedes-irrefl,
precedes-append,
ordered-precedes-h,
ascsubseq-rem,
Used from specification list
- list/indexseq/One
is used by
tolist-single,
ascsubseq-2,
allls-single,
- list/indexseq-stackseq/One
is used by
tolistl-single,
precedesex-2,
ordered-single,
inv-single,
- list/indexseq/c
is used by
tolist-single,
ascsubseq-2,
allls-single,
- list/indexseq-stackseq/c
is used by
tolistl-single,
precedesex-2,
ordered-single,
inv-single,
- list/indexseq/firstoc-rew
is used by
theoremx-atmost-h,
precedes-ascsubseq-2,
ordered-precedes,
- list/indexseq-stackseq/lastdiv-rew
is used by
theoremx-atleast-ind,
- list/indexseq/Last
is used by
theoremx-atleast-ind,
theoremx-atleast,
- list/Last
is used by
solixh-to-solitaireh,
pushix-to-push,
- list/indexseq-stackseq/Last
is used by
theoremx-atleast-ind,
precedesex-rev-rec1,
- list/indexseq/Nil
is used by
theoremx-atmost-h,
theoremx-atleast-ind,
precedes-ascsubseq-2-h,
ordered-precedes-h,
ascsubseq-rem,
ascsubseq-nodups,
ascsubseq-append,
- list/Nil
is used by
solix-to-solitaire,
- list/indexseq-stackseq/Nil
is used by
theoremx-atleast-ind,
pushx-nonrec,
precedesex-rev-rec1,
inv-butlast,
- list/indexseq/a
is used by
tolist-cut-seq,
theoremx-atmost-h,
theoremx-atleast-ind,
theoremx-atleast,
pushx-ordered,
pushx-nonrec,
pushx-inv-gen,
pushx-inv,
pushx-cut-seq,
pushx-covers,
pushix-to-push,
precedesex-pushix,
precedes-ascsubseq-2-h,
precedes-ascsubseq-2,
ordered-precedes-h,
ordered-precedes,
coversi-empty,
covers-rem,
ascsubseq-rest-notprec-first,
ascsubseq-rem,
ascsubseq-prepend,
ascsubseq-nodups,
ascsubseq-in-size,
ascsubseq-first-notin-rest,
ascsubseq-empty,
ascsubseq-append,
ascsubseq-2,
allls-incbound,
allls-in,
- list/stackseq/a
is used by
tolistl-single,
tolistl-cut-seq,
tolist-size,
pushix-to-push,
- list/indexseq-stackseq/a
is used by
tolistl-cut-seq,
tolist-size,
theoremx-atmost-h,
theoremx-atleast-ind,
theoremx-atleast,
pushx-ordered,
pushx-nonrec,
pushx-inv-gen,
pushx-inv,
pushx-cut-seq,
pushx-covers,
pushix-to-push,
precedesex-rev-rec1,
precedesex-pushix,
precedesex-prepend,
precedesex-append,
precedesex-2,
orderedl-at,
inv-last-nonempty,
inv-incbound,
inv-butlast,
coversi-append,
covers-rem,
- list/a
is used by
tolistl-cut-seq,
tolist-single,
tolist-cut-seq,
solixh-to-solitaireh,
solix-to-solitaire,
pushx-inv,
pushx-cut-seq,
pushix-to-push,
precedesex-append,
precedes-append,
- list/indexseq/app
is used by
theoremx-atmost-h,
pushx-ordered,
pushx-nonrec,
pushx-inv-gen,
pushx-inv,
pushx-cut-seq,
pushix-to-push,
precedesex-pushix,
ascsubseq-rest-notprec-first,
ascsubseq-rem,
ascsubseq-prepend,
ascsubseq-in-size,
ascsubseq-first-notin-rest,
ascsubseq-empty,
ascsubseq-2,
- list/stackseq/app
is used by
tolistl-single,
pushix-to-push,
- list/indexseq-stackseq/app
is used by
pushx-ordered,
pushx-nonrec,
pushx-inv-gen,
pushx-inv,
pushx-cut-seq,
pushix-to-push,
precedesex-pushix,
precedesex-prepend,
precedesex-append,
precedesex-2,
orderedl-at,
inv-last-nonempty,
- list/app
is used by
tolist-single,
solixh-to-solitaireh,
pushix-to-push,
- list/app-01
is used by
tolist-cut-seq,
- list/stackseq/app-01
is used by
tolistl-cut-seq,
pushix-to-push,
- list/indexseq-stackseq/app-01
is used by
pushx-nonrec,
pushx-cut-seq,
- list/indexseq/app-02-ant
is used by
theoremx-atmost-h,
- list/indexseq/c
is used by
tolist-cut-seq,
theoremx-atleast,
pushx-ordered,
pushx-nonrec,
pushx-inv-gen,
pushx-inv,
pushx-cut-seq,
pushx-covers,
pushix-to-push,
precedesex-pushix,
precedes-ascsubseq-2-h,
ordered-precedes-h,
coversi-empty,
ascsubseq-rest-notprec-first,
ascsubseq-rem,
ascsubseq-prepend,
ascsubseq-nodups,
ascsubseq-in-size,
ascsubseq-first-notin-rest,
ascsubseq-empty,
ascsubseq-append,
ascsubseq-2,
allls-incbound,
allls-in,
- list/c
is used by
tolist-single,
tolist-cut-seq,
solixh-to-solitaireh,
pushix-to-push,
- list/indexseq-stackseq/c
is used by
tolistl-cut-seq,
tolist-size,
theoremx-atmost-h,
pushx-ordered,
pushx-nonrec,
pushx-inv-gen,
pushx-inv,
pushx-cut-seq,
pushix-to-push,
precedesex-rev-rec1,
precedesex-pushix,
precedesex-prepend,
precedesex-append,
orderedl-at,
inv-last-nonempty,
inv-incbound,
inv-butlast,
- list/stackseq/c
is used by
tolistl-single,
tolistl-cut-seq,
tolist-size,
pushix-to-push,
- list/indexseq-stackseq/c-03
is used by
precedesex-pushix,
- list/c-04
is used by
tolist-single,
- list/indexseq-stackseq/c-04
is used by
pushx-nonrec,
pushx-cut-seq,
- list/stackseq/c-04
is used by
tolistl-single,
pushix-to-push,
- list/indexseq-stackseq/c-06
is used by
precedesex-pushix,
- list/indexseq-stackseq/c-07
is used by
orderedl-at,
coversi-append,
covers-rem,
- list/indexseq/c-08
is used by
pushx-cut-seq,
- list/c-08
is used by
pushix-to-push,
- list/indexseq/e
is used by
pushx-inv-gen,
pushx-inv,
- list/indexseq/e-01
is used by
pushx-ordered,
pushx-inv-gen,
pushx-inv,
pushx-cut-seq,
pushix-to-push,
precedesex-pushix,
coversi-empty,
ascsubseq-empty,
- list/indexseq-stackseq/e-01
is used by
orderedl-at,
inv-last-nonempty,
coversi-append,
covers-rem,
- list/indexseq/e-03
is used by
theoremx-atmost-h,
- list/indexseq/in-01
is used by
theoremx-atmost-h,
precedes-ascsubseq-2,
- list/indexseq/in-06
is used by
pushx-covers,
- list/indexseq/in-08
is used by
theoremx-atleast,
- list/indexseq/in-12
is used by
ascsubseq-nodups,
- list/indexseq-stackseq/in-14
is used by
precedesex-pushix,
- list/indexseq/in-14
is used by
theoremx-atleast,
precedesex-pushix,
- list/indexseq-stackseq/in-15
is used by
pushx-covers,
- list/indexseq/in-17
is used by
theoremx-atmost-h,
theoremx-atleast,
pushx-covers,
precedesex-pushix,
ordered-precedes,
coversi-empty,
covers-rem,
ascsubseq-rest-notprec-first,
ascsubseq-nodups,
ascsubseq-in-size,
ascsubseq-first-notin-rest,
allls-in,
- list/indexseq-stackseq/in-17
is used by
pushx-covers,
precedesex-pushix,
- list/indexseq-stackseq/in-append
is used by
pushx-covers,
precedesex-pushix,
- list/indexseq/in-append
is used by
theoremx-atmost-h,
theoremx-atleast,
pushx-covers,
precedesex-pushix,
precedes-ascsubseq-2,
ordered-precedes,
coversi-empty,
covers-rem,
ascsubseq-rest-notprec-first,
ascsubseq-nodups,
ascsubseq-in-size,
ascsubseq-first-notin-rest,
allls-in,
- list/indexseq/in-empty
is used by
coversi-empty,
ascsubseq-rest-notprec-first,
ascsubseq-nodups,
ascsubseq-in-size,
ascsubseq-first-notin-rest,
allls-in,
- list/stackseq/len
is used by
tolist-size,
- list/indexseq/len
is used by
theoremx-atmost-h,
theoremx-atleast-ind,
theoremx-atleast,
- list/indexseq-stackseq/len
is used by
tolist-size,
theoremx-atmost-h,
theoremx-atleast-ind,
pushx-nonrec,
pushx-covers,
orderedl-at,
coversi-append,
covers-rem,
- list/len
is used by
solixh-to-solitaireh,
precedes-append,
- list/indexseq-stackseq/len-02
is used by
tolist-size,
theoremx-atmost-h,
theoremx-atleast-ind,
pushx-nonrec,
pushx-covers,
orderedl-at,
coversi-append,
covers-rem,
- list/stackseq/len-02
is used by
tolist-size,
- list/len-02
is used by
solixh-to-solitaireh,
precedes-append,
- list/indexseq/len-02
is used by
theoremx-atmost-h,
theoremx-atleast-ind,
theoremx-atleast,
Used from specification list-data
- list-data/indexseq/elim-list-c
is used by
theoremx-atleast,
pushx-ordered,
pushx-inv-gen,
pushx-inv,
pushx-cut-seq,
pushix-to-push,
precedesex-pushix,
- list-data/l
is used by
tolist-cut-seq,
solixh-ordered,
solixh-inv,
solixh-covers,
pushx-ordered,
pushx-nonrec,
pushx-inv-gen,
pushx-inv,
pushx-cut-seq,
pushx-covers,
pushix-to-push,
precedesex-solixh,
precedesex-pushix,
precedes-trans,
precedes-irrefl,
precedes-append,
ascsubseq-rem,
ascsubseq-in-size,
- list-data/indexseq/l
is used by
theoremx-atmost-h,
theoremx-atleast-ind,
theoremx-atleast,
theoremx,
- list-data/indexseq-stackseq/l
is used by
theoremx-atmost-h,
theoremx-atleast,
theoremx,
pushx-nonrec,
pushx-covers,
orderedl-at,
coversi-append,
covers-rem,
- list-data/stackseq/size-01
is used by
tolist-size,
- list-data/size-01
is used by
solix-to-solitaire,
ascsubseq-empty,
- list-data/indexseq/size-01
is used by
theoremx-atmost-h,
- list-data/indexseq-stackseq/size-01
is used by
tolist-size,
theoremx-atleast-ind,
theoremx-atleast,
orderedl-at,
coversi-empty,
covers-empty,
Used from specification list-last
Used from specification nat
- nat/anti
is used by
solixh-ordered,
solixh-inv,
solixh-covers,
pushx-covers,
precedesex-solixh,
- nat/ax-02
is used by
pushx-ordered,
ordered-precedes-h,
- nat/elim-pred-c
is used by
theoremx-atleast,
orderedl-at,
coversi-append,
covers-rem,
- nat/elim-sub
is used by
solixh-ordered,
solixh-inv,
solixh-covers,
precedesex-solixh,
- nat/fle
is used by
ordered-precedes-h,
ascsubseq-rem,
ascsubseq-in-size,
allls-in,
- nat/fle-01
is used by
pushx-covers,
ordered-precedes-h,
ascsubseq-in-size,
allls-incbound,
- nat/ge
is used by
theoremx,
- nat/le-ls-simp
is used by
ordered-precedes-h,
ascsubseq-rem,
allls-in,
- nat/lels
is used by
theoremx-atleast-ind,
theoremx,
solixh-ordered,
solixh-inv,
solixh-covers,
pushx-ordered,
pushx-covers,
precedesex-solixh,
orderedl-at,
ordered-precedes-h,
coversi-append,
covers-rem,
covers-ascsubseq,
ascsubseq-rem,
ascsubseq-append,
ascsubseq-2,
allls-incbound,
- nat/lels-01
is used by
theoremx,
- nat/lels-02
is used by
theoremx,
- nat/lels-03
is used by
solixh-ordered,
solixh-inv,
solixh-covers,
precedesex-solixh,
- nat/ler
is used by
pushx-covers,
- nat/lez
is used by
theoremx,
solix-ordered,
solix-inv,
solix-covers,
precedesex-solix,
orderedl-at,
coversi-append,
covers-rem,
- nat/lez-01
is used by
orderedl-at,
- nat/ls-le-simp
is used by
theoremx,
solixh-ordered,
solixh-inv,
solixh-covers,
pushx-ordered,
pushx-covers,
precedesex-solixh,
ascsubseq-2,
- nat/succ-01
is used by
solixh-ordered,
solixh-inv,
solixh-covers,
precedesex-solixh,
orderedl-at,
coversi-append,
covers-rem,
- nat/zero-02
is used by
solixh-ordered,
solixh-inv,
solixh-covers,
precedesex-solixh,