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Theorem div-add-nosucc-neg
⊦ 1 < j ∧ i < 0 ∧ i % j = 0 → (i - (j - 1)) / j = i / j
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
div-add1-posneg-pos-02
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 5
Used lemmas:
mod-neg-01
,
div-add-nosucc
,
Div-left
,
one
,
mod-one
,
mod-ls-same-02
,
Used spec theorems:
Used simplifier rules:
int-basic2
/
succ-01
int-basic2
/
ls
int-basic1
/
trans
int-basic1
/
lf-01
int-abs
/
forward-le-04
int-abs
/
forward-lels
int-abs
/
abs-08
int-abs
/
abs-16
int-abs
/
numsub
int-abs
/
forward-le-05
int-basic1
/
forward-pos
int-abs
/
forward-le-02
int-basic1
/
lf-02
int-abs
/
sub-sub-04
int-abs
/
sub-eq
int-abs
/
Sub-def
int-abs
/
numadd
int-abs
/
minus-sub
int-abs
/
minus-neg
int-abs
/
zero-gels-01
int-abs
/
neg-10
int-abs
/
neg-02
int-abs
/
sub-add-01
int-abs
/
neg-15
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
sub-sub
int-abs
/
negeq
int-abs
/
numlelsdel-01
int-abs
/
negle-07
int-basic2
/
add-zero-rev
int-abs
/
zero-gels-03