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Theorem rem-reachable
⊦ reachable(r, r0, h) ∧ ce.nxt = (h((h(r1)).nxt)).nxt ∧ r0 ≠ (h(r1)).nxt ∧ (h(r1)).nxt ∈ h ∧ (h(r1)).nxt ≠ null ∧ r1 ≠ null ∧ r1 ∈ h → (reachable(r, r0, h(r1 := ce)) ↔ true)
Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by:
rem-reachable-rev
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 16
Used lemmas:
fromnext-reachable
,
fromnext-reachable-rev
,
path-cons
,
self-reachable
,
path-one
,
reachable-def
,
Used spec theorems:
map
/
At-other
Used simplifier rules:
list
/
app
list
/
a
list-last
/
last-one
map
/
In-insert
list-last
/
last-rec
list
/
c
map
/
At-same