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Theorem dll-trav-next
hd0 ≠ nxt ⊦ (dll-trav(prv, hd, lst, cur, hd0, lst0, nxt, x) * hP)(h) ∧ h(hd0) = mknode(cur, a, r1) → (dll-trav(prv, hd, cur, hd0, r1, lst0, nxt, x) * hP)(h)
Type: A user defined theorem
Validity: The proof is valid.
Features: ss,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 19
Used lemmas:
dlls-unfold-tail
,
dlls-last-head-null
,
ll-trav-nonnull
,
dlls-last-rec
,
dlls-last-base
,
dll-trav-null
,
Used spec theorems:
Used simplifier rules:
heap-sep
/
sep-com
heap-sep
/
sep-ass
heap-sep
/
false-rev
heap-sep
/
false-and
heap-sep
/
and-ass
heap-sep
/
and-com
heap-sep
/
false-sep
heap-sep
/
falseH
list
/
c
node
/
inj-mknode
maplet
/
at-rw
maplet
/
ex1-shift
list
/
a
maplet
/
map-null
list
/
Nil
list
/
len-01
heap-sep
/
true-rev
heap-sep
/
true-and
heap-sep
/
emp-sep
list
/
Last
list-data
/
elim-list-c
list
/
e
list
/
app-02