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Theorem vols-is-max-is-min-eraseq
⊦ is-max(apebs, vols0, wlar0, q0, bflipset0, n0, n1) ∧ ubi-cons(apebs, vols1, wlar1, q1, bflipset, m0, m1) → q0.lebrefs ⊆ q1.lebrefs
Type: A user defined theorem
Validity: The proof is valid.
Features: forward,
Comment:
Used by:
Used by units in proved state:
ubi-asm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 35
Proof steps: 81
Used lemmas:
in-eraseq-strong-valid
,
vols-is-max-weak
,
vols-le
,
vols-is-max-is-max-vols
,
Used spec theorems:
set-union
/lebrefset/
subdef
ubi-base
/
valid-ebatbl
ubi-base
/
valid-vtbl
ubi-base
/
valid-wl
sqns
/
valid-sqns-extract2-sqn
bag-max
/
max-rec
ubi-base
/
unique-sqns
ubi-base
/
valid-eraseqw
erasequeue
/
queue-in
ubi-base
/
in-valid-eraseqp-valid-lref
erasequeue
/
queue-in-vl
Used simplifier rules:
ubi-base
/
ubi-cons
apeb
/
elim
erasequeue
/
in-vl-in-lebrefs
wlentry
/
elim-02
erasequeueentry
/
sel-02
lebref
/
disj
valid-peb
/
valid-peb-vidhdr-empty
wlstatus
/
disj-04
valid-peb
/
valid-peb-bad
ubi-base
/
valid-vtbl-wlar-status
nat-basic
/
lf-02
valid-peb
/
valid-peb-valid-vidhdr
store
/volumes/
notmemlookup
encoding-vtbl
/
is-encoded-unique
apeb
/
sel-06
valid-peb
/
valid-peb-vol
valid-peb
/
valid-peb-leb
wlentry
/
sel-05
apeb
/
sel-04
wlstatus
/
disj-01
apeb
/
sel-08
wlstatus
/
disj-02
apeb
/
sel-05
apeb
/
inj
aecheader
/
inj
wlentry
/
inj-03
bag-max
/
bag-add-nonempty
bag-max
/
max-add-one-different
nat
/
gr-def
bag-max
/
unique-elems-addtwice
nat
/
ls-le-simp
nat
/
ler
avidheader
/
elim
avidheader
/
test-03
avidheader
/
disj-02
nat
/
lels
nat
/
fle-01
nat
/
fle
nat-basic
/
f
oelem
/nat-set/
irreflexivity
wlstatus
/
disj-03
wlstatus
/
disj-05
wlstatus
/
disj-06
wlentry
/
sel-04
nat-basic
/
lf-01
erasequeueentry
/
elim
valid-peb
/
valid-peb-unique