[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 labsp
0 ≤ i, 0 ≤ j ⊦ i→n(i) < i→n(j) ↔ abs(i) < abs(j)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
labs
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 7
Used lemmas:
rax-04
,
sub
,
Int2nat-pos
,
abs-zero
,
Used spec theorems:
Used simplifier rules:
int-basic2
/
succ-01
int-abs
/
abs-05
int-abs
/
abs-08
int-abs
/
subsub
int-abs
/
neg-13
int-abs
/
mone-08
int-abs
/
zero-gels-01
int-abs
/
forward-lsle
int-abs
/
forward-le-02
nat-basic1
/
zero
int-abs
/
minus-add
int-basic1
/
lst-01
int-abs
/
lenls
int-abs
/
zero-gels-04
int-abs
/
mone-06
int-abs
/
numls-02
int-basic2
/
add-zero-rev
int-abs
/
numsub
nat
/
l-num-06
int-abs
/
zero-gs
nat
/
ls
int-abs
/
sub-ls-01
int-abs
/
anti
int-abs
/
forward-le-01
int-abs
/
forward-le-05
int-abs
/
sub-ls
int-abs
/
abs-16
int-abs
/
abs-09
int-abs
/
absle
nat
/
ls-01
nat-basic1
/
one-01
nat
/
lels-01
int-abs
/
lels-03
int-abs
/
lels
int-abs
/
sub-le-01
int-abs
/
leone
int-abs
/
sub-pred
int-abs
/
numle-02
int-abs
/
numleledel-01
int-basic2
/
add-a
int-basic2
/
add-c
nat-basic2
/
s
nat-basic2
/
a
nat-basic2
/
c
int-abs
/
succ-02
int-abs
/
lels-01
int-basic1
/
ls-01