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Theorem btree-ri-unique
⊦ ((btree(rp, rp0, adr, height, dirty, ri0, iast, as0, alladrs0, ok) * P0))(zh) ∧ ((btree(rp, rp0, adr, height, dirty, ri1, iast, as1, alladrs1, ok) * P1))(zh) → ri0 = ri1
Type: A user defined theorem
Validity: The proof is valid.
Features: forward, localforward,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 19
Proof steps: 44
Used lemmas:
btree-remove-context
,
nat-le-eq
,
ri-range-ext
,
bnode
,
maplet-null
,
btree-root-in-heap
,
btree-leaf-adr
,
bleaf
,
btree
,
btree-clean-fwd
,
btree-clean-alladrs
,
btree-null-or-clean-below
,
btree-adrs
,
btree-refed-subseteq-alladrs
,
Used spec theorems:
iter-n
/zheap/
Sep-unfold
Used simplifier rules:
set-basic
/node-store/
ne
set-basic
/node-store/
size-one-01
set-basic
/node-store/
in-06
set-basic
/node-store/
one-size
set-union
/node-store/
One
set-union
/node-store/
del-e-02
set-basic
/node-store/
in-04
set-union
/node-store/
del-addeq-05
set-union
/node-store/
del-e-01
heap-sep
/zheap/
emp-sep
maplet
/zheap/
map-in
constants
/
branchsize-0
heap
/zheap/
nonnull
znode
/
inj
set-basic
/node-store/
size-zero-01
set-basic
/node-store/
ne-01
zbranch-array-ops
/
nsze-ok
maplet
/zheap/
eq-objs
nat
/
elim-pred-c
existential
/zheap/
exists-shift
heap-sep
/zheap/
true-and
heap-sep
/zheap/
true-rev
nat
/
succ-01
nat
/
ler
nat
/
lep-02
nat
/
fle
oelem
/nat-set/
irreflexivity
set-union
/node-store/
del-in
nat
/
fle-01
nat
/
le-ls-simp
nat-basic
/
lf-02
nat
/
lep
zbranch
/
elim-01
nat
/
lels
zbranch
/
test-03
zbranch
/
sel-03
zbranch
/
sel-01
nat-basic
/
succ
nat-basic
/
lf
heap-sep
/zheap/
prop
heap-sep
/zheap/
and
heap-sep
/zheap/
and-com
heap-sep
/zheap/
and-ass
heap-sep
/zheap/
prop-shift
nat
/
elim-sub
nat-basic
/
l-02
nat-basic
/
s-04
nat-basic
/
add-base
nat
/
add-01
nat-basic
/
oz
nat-basic
/
l-01
nat-basic
/
eq-01
nat-basic
/
f
nat-basic
/
lf-01
nat-basic
/
c
nat-basic
/
a
nat
/
eqle-one
nat
/
lels-03
set-basic
/node-store/
sub-idem
set-basic
/node-store/
sub-trans
heap-sep
/zheap/
sep-com
heap-sep
/zheap/
sep-ass