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Theorem add-preserves-reachable-rev
⊦ h[r1].nxt = h[r2].nxt ∧ r0 ≠ r2 ∧ ce.nxt = r2 ∧ ¬ reachable(r, r0, h) ∧ ¬ reachable(r, r2, h) ∧ r2 ≠ null ∧ r2 ∈ h ∧ reachable(r, r1, h) → (reachable(r, r0, h[r1, ce]) ↔ false)
Type: A user defined theorem
Validity: The proof is valid.
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: 28
Proof steps: 55
Used lemmas:
fromnext-reachable-rev
,
startnotinH-notreachable
,
fromnext-reachable
,
path-two
,
reach-reachnext
,
reachnext
,
path-cons
,
self-reachable
,
path-one
,
reachable-def
,
reach-alloc
,
Used spec theorems:
store
/linheap/
At-other
Used simplifier rules:
list
/reflist/
app
list
/reflist/
a
list-last
/reflist/
last-one
store
/linheap/
In-insert
list-last
/reflist/
last-rec
list
/reflist/
c
store
/linheap/
At-same
store
/linheap/
insin
store
/linheap/
in-neq
list-last
/reflist/
l-02
store
/linheap/
k-At-same
list-last
/reflist/
last-def