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Theorem btree-write-other
⊦ ¬ adr ∈ as → ( ((btree(rp, r, adr0, height, dirty, ri, iast[adr, ind], as, alladrs, nstat) * P))(zh) ↔ ((btree(rp, r, adr0, height, dirty, ri, iast, as, alladrs, nstat) * P))(zh))
Type: A user defined theorem
Validity: The proof is INVALID because - the proof was set to invalid (continue/load proof to restore) - the spec theorems have changed
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 23
Proof steps: 59
Used lemmas:
btree-imp-dirty
,
maplet-null
,
btree-adrs
,
btree-refed-subseteq-alladrs
,
sep-forall-reduce
,
bnode
,
bleaf
,
btree
,
Used spec theorems:
set-union
/node-store/
delete-shift
Used simplifier rules:
heap-sep
/zheap/
emp-sep
set-basic
/node-store/
in-04
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/
del-e-02
nat-basic
/
succ
set-basic
/node-store/
size-zero-01
set-basic
/node-store/
ne-01
existential
/zheap/
exists-shift
nat
/
ler
nat
/
elim-pred-c
constants
/
branchsize-0
nat-basic
/
f
nat
/
eqle-one
nat-basic
/
oz
store+set
/index-store-address-store/
dom-ins
zbranch
/
elim-01
zbranch
/
test-03
zbranch-array-ops
/
unmodified-write-dirty
zbranch-array-ops
/
unmodified-write-other
address-set-array-ops
/
in-index-in-union-1
nat-basic
/
lf-01
nat
/
fle-01
Unknown
/
Unknown
heap-sep
/zheap/
true-and
heap-sep
/zheap/
true-rev
heap-sep
/zheap/
prop
Unknown
/
Unknown
heap-sep
/zheap/
and-com
heap-sep
/zheap/
and-ass
heap-sep
/zheap/
prop-shift
nat-basic
/
add-base
zbranch-array-ops
/
unmodified-dirty
heap-sep
/zheap/
sep-com
heap-sep
/zheap/
sep-ass
set-union
/node-store/
del-in
zbranch
/
inj
zbranch-array-ops
/
unmodified-clean-fwd-zbrar
nat
/
succ-01
nat-basic
/
c
nat-basic
/
a
nat
/
le-ls-simp
nat-basic
/
s-04
Unknown
/
Unknown
set-basic
/node-store/
in-03