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Theorem noeth-zero-ls
abs(i) < i0, 0 < abs(i), 0 < j ⊦ 0 < abs(i) * j
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
zero-gr
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 11
Used lemmas:
ls-forward
,
minus-one-02
,
one
,
dist-lsplit
,
commutativity
,
associativity
,
minus-left
,
Used spec theorems:
int-abs
/
Abs-pos
Used simplifier rules:
int-abs
/
absls
int-basic2
/
succ-01
int-abs
/
zero-gels-01
int-abs
/
forward-le-02
int-abs
/
forward-le-01
int-abs
/
negle-13
int-abs
/
abs-05
int-abs
/
abs-08
int-abs
/
subsub
int-abs
/
neg-13
int-abs
/
numls-02
int-abs
/
mone-06
int-abs
/
zero-gels-04
int-abs
/
neg
int-abs
/
minus-add
int-abs
/
sub-le-01
int-abs
/
leone
int-abs
/
negle-07
int-basic2
/
add-zero
int-basic1
/
lst-01
int-abs
/
lels-03
int-abs
/
sub-eq
int-abs
/
succ-02
int-abs
/
sub-ls
int-abs
/
abs-16
int-abs
/
abs-09
int-abs
/
numadd-01
int-basic1
/
ls-01
int-abs
/
elim-sub
int-abs
/
forward-le-05
int-abs
/
forward-le-04
int-abs
/
forward-lels
int-abs
/
abs-06
int-abs
/
sub-ls-01
int-abs
/
sub-pred
int-abs
/
lenls
int-abs
/
lels
int-abs
/
forward-lsle
int-basic2
/
ls
int-basic2
/
add-a
int-basic2
/
add-c