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Theorem btree-clean-adr-in
⊦ r ∈ zh ∧ zh[r] = mkznode(rp0, zbrar, boolvar, false, height0) ∧ ((btree(rp, r, adr, height, dirty, ri, iast, as, alladrs, nstat) * P))(zh) → adr ∈ as ∧ (height = 0 → as = ∅ ++ adr)
Type: A user defined theorem
Validity: The proof is valid.
Features: localforward, forward,
Comment:
Used by:
btree-mark-dirty
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas:
bleaf
,
btree
,
btree-adrs
,
btree-refed-subseteq-alladrs
,
Used spec theorems:
Used simplifier rules:
heap
/zheap/
nonnull
set-basic
/node-store/
ne-01
heap-sep
/zheap/
sep-ass
heap-sep
/zheap/
sep-com
maplet
/zheap/
at-eq
znode
/
inj
maplet
/zheap/
map-in
set-basic
/node-store/
sub-in
set-basic
/node-store/
size-zero-01
store+set
/index-store-address-store/
Dom
nat-basic
/
add-base
nat-basic
/
a
nat-basic
/
c
nat
/
ler
set-union
/node-store/
del-e-02
heap-sep
/zheap/
false-rev
heap-sep
/zheap/
false-and
heap-sep
/zheap/
and-ass
heap-sep
/zheap/
and-com
heap-sep
/zheap/
false-sep
heap-sep
/zheap/
falseH