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Theorem ushort-band-shift
⊦ band(s2i(sho) i>> 8, 255) = band(us2i(sho) i>> 8, 255)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
ushort-band-shift-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 54
Proof steps: 83
Used lemmas:
short-min-02
,
ushort-neg
,
ushort-pos
,
Used spec theorems:
intops
/
intshiftrsign-2pot-pos
intops
/
band-255-pos
intops
/
intshiftrsign-2pot-neg-02
intops
/
intshiftrsign-2pot-neg
int-div
/
div-zero-02
int-div
/
modex
int-basic1
/
lsrec
int-mult
/
dist-sub-split
int-mult
/
one
int-abs
/
sub-add-01
int-abs
/
pls-01
intops
/
band-255-neg
int-div
/
div-mult-neg
int-div
/
div-mult-pos
int-div
/
mod-mult-neg
int-abs
/
Abs-neg
int-mult
/
zero-ge-add
Used simplifier rules:
int-abs
/
sub-ls-01
int-abs
/
abs-06
int-abs
/
abs-03
int-abs
/
forward-le
int-mult
/
eq-nonzero
int-abs
/
numlsledel-01
int-basic2
/
num-between
int-abs
/
forward-le-03
int-abs
/
zero-gels-04
int-div
/
div-lezero
int-basic1
/
numlslsdel
int-basic2
/
ls-02
int-mult
/
zero-gr
int-abs
/
leone
int-abs
/
lels-04
int-abs
/
numadd-01
int-basic2
/
eq
int-mult
/
zero-eq
int-basic1
/
numlsf
int-basic2
/
ls
int-abs
/
forward-le-05
int-div
/
div-elim-pospos
int-abs
/
lels-02
int-abs
/
minus-add
int-abs
/
minus-ass
int-mult
/
pred-rmerge
int-div
/
nummult-ls
int-mult
/
zero-ge
int-abs
/
lep
int-abs
/
neg-15
int-abs
/
minus-02
int-basic1
/
ls-01
int-abs
/
neg-06
int-abs
/
Abs-pos
int-abs
/
numlsledel
int-basic2
/
add-zero
int-abs
/
numleledel
int-abs
/
sub-le
int-abs
/
anti
int-abs
/
sub-le-01
int-abs
/
lsone
int-abs
/
sub-ls
int-abs
/
Sub-def
int-basic2
/
add-in
int-abs
/
numsub
int-mult
/
succ-rmerge
int-abs
/
sub-add-01
int-abs
/
sub-eq
int-abs
/
numls-03
int-abs
/
mone-08
int-div
/
div-elim-negpos
int-abs
/
numleledel-01
int-mult
/
eq-dist
int-abs
/
mone-05
int-div
/
nummult-le-01
int-div
/
nummult-le-03
int-mult
/
zero-le
int-div
/
div-mult-03
int-abs
/
zero-gels-03
int-mult
/
zero-ls
int-mult
/
associativity
int-mult
/
commutativity
int-div
/
nummult-ls-03
int-abs
/
mone-06
intops
/
band-associativity
intops
/
band-255-pos
int-abs
/
abs-08
int-abs
/
neg-13
int-abs
/
numls-02
int-abs
/
numlelsdel-01
int-abs
/
zero-gels-01
int-abs
/
forward-le-01
int-abs
/
forward-lsle
int-abs
/
lels-03
int-abs
/
lels
int-div
/
div-ls-zero
int-abs
/
numle-03
int-abs
/
forward-le-04
int-abs
/
forward-lele
int-abs
/
forward-lels
int-abs
/
numle-02
int-basic2
/
add-a
int-basic2
/
add-c
int-abs
/
forward-le-02
int-abs
/
lels-01
intops
/
band-commutativity