[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 addarray-mklist-03
⊦ addarray(r, mklist(val, n), n→i(m), addarray(r, mklist(val, m), 0, st)) = addarray(r, val, n→i(n) + n→i(m), st)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
addarray-mklist-04
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 6
Proof steps: 11
Used lemmas:
addarray-lastrec
,
addarray-rec
,
addarray-mklist-02
,
addarrayinit-base
,
Used spec theorems:
list-last
/javavalues/
mk-last-02
Used simplifier rules:
list
/javavalues/
e-02
list-last
/javavalues/
last-def
list
/javavalues/
len-02
list-last
/javavalues/
mk-len
list
/javavalues/
len
list-last
/javavalues/
butlast-def
list
/javavalues/
app-02-ant
list-last
/javavalues/
mk-empty
list
/javavalues/
e
list
/javavalues/
a
nat-basic2
/
pred
nat-basic2
/
oz
int-abs
/
forward-le-01
int-abs
/
numsub
int-abs
/
ax-02
int-abs
/
numls-02
int-abs
/
mone-06
int-abs
/
lels-01
intnat
/
pos-add
int-abs
/
forward-le-02
nat-basic2
/
c
nat-basic2
/
a
intnat
/
n2i-add
nat-basic2
/
succ
int-basic2
/
add-c
int-basic2
/
add-a
int-basic2
/
ax-04
list-last
/javavalues/
mk-zero