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Theorem div-eq-same-01
j ≠ 0 ⊦ i / j = i ↔ i = 0 ∨ j = 1
Type: A user defined theorem
Validity: The proof is valid.
Features: ws, lws,
Comment:
Used by:
div-div
,
one-02
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 9
Proof steps: 23
Used lemmas:
div-elim-posneg
,
div-elim-negpos
,
div-elim-pospos
,
div-elim-negneg
,
one
,
zero
,
Used spec theorems:
int-mult
/
numeq-04
int-basic2
/
not-zero-pos
Used simplifier rules:
int-abs
/
lels-03
int-abs
/
lels-02
int-abs
/
zero-gels-01
int-basic2
/
succ-01
int-abs
/
forward-le-05
int-abs
/
forward-le-02
int-basic1
/
trans
int-basic1
/
lf-01
int-basic1
/
ls-01
int-basic1
/
lst-01
int-abs
/
zero-gels-04
int-abs
/
forward-le-04
int-abs
/
forward-lels
int-abs
/
zero-gels-03
int-mult
/
commutativity
int-abs
/
elim-sub
int-basic1
/
lf-02
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
succ-02
int-basic2
/
add-zero-rev
int-abs
/
numls-01
int-abs
/
mone-06
int-abs
/
numls-02
int-abs
/
numadd-01
int-abs
/
abs-08
int-abs
/
negle-13
int-abs
/
forward-le-01
int-abs
/
forward-lsle
int-basic2
/
ls-02
int-mult
/
zero-gr
int-mult
/
associativity
int-mult
/
zero-neq-01
int-abs
/
anti
int-abs
/
le-def
int-abs
/
lels