[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem shiftright-rec-8-neg
⊦ i < 0 ∧ 8 ≤ j → i >> j = (i - 255) / 256 >> (j - 8)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
bytes
,
byte
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 68
Proof steps: 118
Used lemmas:
shiftright-rec-neg
,
shiftright-neg-mone
,
shiftright-neg-div
,
rightshift-zero
,
Used spec theorems:
int-div
/
div-minus255-256-01
int-div
/
div-minus255-256
int-div
/
div-minus-onediff-01
int-basic2
/
add-c
int-div
/
div-add1-negpos-neg-01
int-div
/
div-minus-onediff
int-div
/
modex
int-div
/
div-div
int-div
/
div-div-intro
int-div
/
div-twoodd-01
int-div
/
div-add1-negneg
int-div
/
mod-add1-negneg
int-div
/
div-zero-02
int-abs
/
Abs-neg
int-div
/
Div-left
int-div
/
div-add1-pospos
Used simplifier rules:
int-mult
/
pred-rmerge
int-abs
/
forward-le-05
int-abs
/
zero-gels-02
int-abs
/
minus-02
int-abs
/
num-between
int-abs
/
abs-06
int-abs
/
abs-03
int-abs
/
zero-gels-04
int-div
/
nummult-ls
int-abs
/
minus-add
int-div
/
div-two-zero-01
int-mult
/
zero-ge
int-mult
/
modzero-01
int-div
/
nummult-ls-01
int-abs
/
anti
int-abs
/
numlsledel
int-abs
/
Abs-pos
int-abs
/
mone-08
int-abs
/
neg-06
int-basic2
/
eq
int-basic2
/
ls
int-abs
/
mone-06
int-abs
/
forward-lele
int-basic2
/
add-in
int-basic1
/
minus-one
int-basic1
/
numlsf
int-abs
/
numls-03
int-abs
/
forward-le-04
int-abs
/
zero-gels-03
int-mult
/
zero-le
int-abs
/
sub-ls
int-abs
/
lsone
int-div
/
div-elim-negpos
int-div
/
div-div-num
int-div
/
neg-01
int-abs
/
negeq
int-abs
/
negle-07
int-basic2
/
add-zero
int-div
/
div-lezero
int-basic1
/
numlslsdel
int-abs
/
neg-15
int-abs
/
minus-sub
int-abs
/
Sub-def
int-div
/
one
int-div
/
div-mult-num-01
int-div
/
two-even
int-div
/
mod-two-02
int-div
/
nummult-eq-01
int-mult
/
one
int-div
/
div-mult-num
int-div
/
nummult-le-01
int-div
/
div-mult-03
int-div
/
mod-zero-num
int-div
/
div-twoodd-01
int-abs
/
abssub-02
int-abs
/
minus-ass
intnat
/
abs-pred
int-abs
/
sub-le-01
int-abs
/
lels-01
int-div
/
div-ls-zero
int-abs
/
sub-add-01
int-abs
/
numsub
int-abs
/
numle-03
int-abs
/
mone-05
int-abs
/
sub-ls-01
int-abs
/
bet
int-abs
/
leone
int-basic1
/
ls-01
int-basic2
/
num-between
int-abs
/
abs-16
int-basic1
/
numlslsdel-01
int-basic1
/
forward-pos
int-abs
/
lels-02
int-abs
/
sub-eq
int-div
/
nummult-le-03
int-mult
/
associativity
int-mult
/
commutativity
int-mult
/
zero-ls
int-abs
/
lels-04
int-abs
/
abs-08
int-abs
/
neg-13
int-abs
/
numls-02
int-abs
/
numlsledel-01
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
numleledel-01
int-abs
/
lels-03
int-abs
/
forward-lels
int-abs
/
lels
int-abs
/
zero-gels-01
int-abs
/
forward-lsle
int-abs
/
forward-le-02
int-abs
/
forward-le
int-abs
/
forward-le-01