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Theorem div-zero-02
abs(i) < abs(j) ⊦ i / j = 0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
div-div-pred-01
,
div-minus-onediff
,
div-two-intro
,
div-twoodd-05
,
div-twoodd-07
,
one-pos
,
Used by units in proved state:
int-pot
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 7
Used lemmas:
Div-right
,
div-zero-01
,
div-zero-05
,
div-eq-zero-01
,
div-zero
,
Used spec theorems:
Used simplifier rules:
int-basic2
/
ls
int-abs
/
forward-lsle
int-abs
/
zero-gels-03
int-abs
/
absls-06
int-abs
/
forward-le-01
int-abs
/
forward-lels
int-abs
/
absle
int-abs
/
lels-03
int-abs
/
lels
int-abs
/
abs-06
int-basic2
/
ls-02
int-basic2
/
add-c
int-basic2
/
add-a
int-basic2
/
ls-01
int-basic2
/
succ-01
int-abs
/
forward-le-02
int-basic1
/
trans
int-basic1
/
lf-01
int-abs
/
forward-le-05
int-abs
/
neg-13
int-abs
/
abs-08
int-abs
/
lels-01
int-basic1
/
ls-01
int-abs
/
neg
int-abs
/
neg-07
int-abs
/
zero-gels-01
int-basic1
/
lf-02
int-abs
/
neg-10