[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 reachable-addnew-rev
⊦ ¬ r2 ∈ h ∧ r ∈ h ∧ ¬ reachable(r, r1, h) → (reachable(r, r1, h[r2 := ce]) ↔ (∃ r0. reachable(r, r0, h) ∧ h[r0].nxt = r2 ∧ r2 ≠ null ∧ (r1 = r2 ∨ reachable(ce.nxt, r1, h))))
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: 42
Proof steps: 88
Used lemmas:
null-not-reachable
,
reachable-notnullinH
,
path-two
,
reach-reachnext
,
reachable-addnew
,
reachable-trans
,
path-prefix
,
path-postfix
,
startnotinH-notreachable
,
path-cons
,
reachable-def
,
path-last
,
path-new-irrelevant-strong
,
path-split-last
,
path-one
,
reachable-nodups-def
,
endnotinH-notreachable
,
reach-alloc
,
Used spec theorems:
store
/
In-insert
store
/
At-other
list
/
in-def
list-last
/
lapp
Used simplifier rules:
store
/
In-insert
list
/
a
list-dup
/
rec
store
/
insin
list
/
app
list-last
/
last-one
list-last
/
l-02
list-last
/
last-elim
list
/
in-17
list
/
in-append
list-dup
/
f
list
/
e-02
store
/
At-same
list-last
/
l-in
list-last
/
lapp-01
list
/
c
list
/
in-rec
list-dup
/
f-01
list
/
in-empty
list
/
Nil
store
/
At-other
store
/
in-neq
list
/
in-06
list-last
/
last-rec
store
/
At-in-out
list-last
/
last-def
list-last
/
lapp-03