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Theorem vols-is-max-is-max-vols
⊦ is-max(apebs, vols0, wlar0, q0, bflipset0, n0, n1) ∧ ubi-cons(apebs, vols1, wlar1, q1, bflipset1, m0, m1) → vols1 ⊆ vols0
Type: A user defined theorem
Validity: The proof is valid.
Features: forward,
Comment:
Used by:
vols-is-max-is-min-eraseq
,
Used by units in proved state:
ubi-asm
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 30
Proof steps: 76
Used lemmas:
in-eraseq-strong-not-valid
,
valid-eraseq-strong-imp-p
,
valid-eraseq-strong-imp-q
,
ubi-cons-same-vtbl
,
vols-is-max-weak
,
vols-le
,
Used spec theorems:
ubi-base
/
valid-vtbl
store
/vtbl/
Extension
ubi-base
/
valid-eraseqw
ubi-base
/
valid-ebatbl
ubi-base
/
valid-wl
sqns
/
valid-sqns-extract2-sqn
ubi-base
/
unique-sqns
valid-peb
/
valid-peb2
Used simplifier rules:
ubi-base
/
ubi-cons
apeb
/
elim
wlentry
/
elim-02
ubi-base
/
is-vtbl-pnum
ubi-base
/
valid-vtbl-in-wlar
encoding-vtbl
/
is-encoded-unique
vtbl-conv
/
to-vtbl-in
vtbl-conv
/
to-vtbl-at
avidheader
/
elim
aecheader
/
inj
avidheader
/
disj-02
ebaentry
/
disj
avidheader
/
test-03
avidheader
/
sel-06
avidheader
/
sel-08
wlstatus
/
disj-06
wlstatus
/
disj-05
valid-peb
/
valid-peb-unique
ebaentry
/
inj
avidheader
/
sel-10
wlentry
/
sel-05
wlstatus
/
disj-03
wlstatus
/
disj-01
wlstatus
/
disj-02
wlentry
/
sel-04
bag-max
/
unique-elems-addtwice
nat-basic
/
lf-01
nat-basic
/
f
nat-basic
/
lf-02
apeb
/
sel-06
apeb
/
sel-08
aecheader
/
test-02
apeb
/
sel-04
avidheader
/
inj
apeb
/
sel-05