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Theorem ll-trav2-next
r2 ≠ null ⊦ ((ll-trav(r0, r1, r2, x) * hP))(h) ∧ h[r2] = a × r → ((ll-trav(r0, r2, r, 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: 5
Proof steps: 15
Used lemmas:
lls-unfold-tail
,
lls-rec
,
lls-base
,
ll-trav2-null-def
,
ll-trav2-nonnull-def
,
Used spec theorems:
Used simplifier rules:
heap-sep
/
sep-com
heap-sep
/
sep-ass
list
/
a
list
/
c
heap-sep
/
emp-sep
heap-sep
/
and-com
heap-sep
/
and-ass
heap-sep
/
true-and
heap-sep
/
true-rev
list
/
Nil
list
/
e-01
maplet
/cell-heap/
ex1-shift
maplet
/cell-heap/
at-eq
cell
/
inj-tim
list
/
app-08
heap-sep
/
false-rev
heap-sep
/
false-and
heap-sep
/
false-sep
heap-sep
/
falseH
list-data
/
elim-list-c
list
/
Last
list
/
app-01
list
/
app-07