[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 nonnullrefs-in
⊦ r ∈ vals .nonnullrefs ↔ r ≠ jvmref ∧ (∃ m. vals[m] = refval(r) ∧ m < # vals)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
nonnullrefs-dups
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 13
Proof steps: 34
Used lemmas:
nonnullrefs-yes
,
nonnullrefs-no
,
nonnullrefs-empty
,
Used spec theorems:
list-del
/javavalues/
get-rec
Used simplifier rules:
javavalue
/
sel-09
nat-basic2
/
oz
nat
/
elim-pred-c
list
/javavalues/
e-01
list
/javavalues/
c-07
list
/javavalues/
app-02-ant
list
/javavalues/
e
list-del
/javavalues/
get-zero-01
javavalue
/
inj-03
nat-basic1
/
less-1
list-del
/javavalues/
get-succ
nat-basic2
/
s
nat
/
ls-le-simp
list-data
/javavalues/
l
nat-basic1
/
f
javavalue
/
test-19
javavalue
/
elim-13
list
/references/
a
list
/references/
in-17
list
/references/
in-append
list
/references/
c
nat
/
lels-01
nat-basic2
/
c
nat-basic2
/
a
nat
/
succ-01
list
/javavalues/
a
list
/javavalues/
len-02
list
/javavalues/
len
list
/javavalues/
c
list
/references/
in-empty
list-data
/javavalues/
size-01
nat
/
lez
nat
/
lels