[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem ll-trav1-next
r1 ≠ null ⊦ ((ll-trav(r0, r1, x) * hP))(h) ∧ h[r1] = a × r → ((ll-trav(r0, 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: 3
Proof steps: 9
Used lemmas:
lls-unfold-tail
,
lls-rec
,
lls-base
,
ll-trav1-def
,
Used spec theorems:
Used simplifier rules:
heap-sep
/
sep-com
heap-sep
/
sep-ass
list
/
Last
list
/
a
list
/
app-01
heap-sep
/
false-rev
heap-sep
/
false-and
heap-sep
/
and-ass
heap-sep
/
and-com
heap-sep
/
false-sep
heap-sep
/
falseH
list-data
/
elim-list-c
list
/
app-08
list
/
c
cell
/
inj-tim
maplet
/cell-heap/
at-eq
maplet
/cell-heap/
ex1-shift
list
/
e-01