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Theorem div-ls-mone
0 < j ⊦ i / (* j) < ~1 ↔ i + 2 * j ≤ 0
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
ls-even-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 12
Proof steps: 22
Used lemmas:
div-zero-nls
,
nummult-ls-02
,
div-elim-negpos
,
Used spec theorems:
int-abs
/
Abs-neg
int-basic2
/
ex-ls-add
int-mult
/
dist-lsplit
Used simplifier rules:
int-mult
/
zero-le
int-abs
/
anti
int-abs
/
Abs-pos
int-mult
/
numls-10
int-basic1
/
irref
int-abs
/
sub-eq
int-mult
/
zero-ge
int-abs
/
bet-01
int-abs
/
sub-le-01
int-basic2
/
add-less
int-abs
/
lsone
int-mult
/
ls-same
int-abs
/
neg-06
int-abs
/
lels
int-abs
/
forward-le-04
int-abs
/
mone-06
int-mult
/
numls-03
int-basic2
/
ls
int-abs
/
zero-gels-01
int-basic2
/
lst-04
int-abs
/
forward-le-02
int-abs
/
forward-le-01
int-abs
/
forward-lele
int-abs
/
numls-03
int-mult
/
zero-ls
int-abs
/
zero-gels-04
int-mult
/
numle-03
int-abs
/
lep-01
int-abs
/
mone-08
int-basic1
/
lf-02
int-abs
/
sub-ls
int-abs
/
neg-05
int-abs
/
minus-add
int-mult
/
add-mult-two
int-mult
/
numsub
int-basic1
/
forward-pos
int-abs
/
zero-gels-03
int-mult
/
modzero-02
int-mult
/
zero-gr
int-basic2
/
ls-02
int-basic2
/
ls-01
int-basic1
/
numlsf
int-abs
/
forward-lels
int-abs
/
lels-01
int-basic2
/
succ-01
int-abs
/
forward-le-05
int-basic1
/
trans
int-basic1
/
lf-01
int-abs
/
neg-03
int-basic2
/
add-a
int-basic2
/
add-c
int-basic2
/
add-zero-rev
int-abs
/
neg-13
int-basic2
/
zero-02
int-mult
/
minus-left
int-mult
/
associativity
int-mult
/
commutativity
int-mult
/
minus-one-02
int-abs
/
neg-11
int-abs
/
neg-15
int-abs
/
sub-add-01
int-mult
/
two-sub-01
int-abs
/
sub-ls-01
int-mult
/
numls-08
int-mult
/
one
int-mult
/
ls-add
int-abs
/
lels-03