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Theorem getShort-isi
⊦ s2i(i2s(bor(b2i(byi) i<< 8, band(b2i(byj), 255)))) = bor(b2i(byi) i<< 8, band(b2i(byj), 255))
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 23
Proof steps: 37
Used lemmas:
byte-gr-127
,
byte-range
,
byte-and-lsz
,
byte-and-le-256
,
num-issi
,
Used spec theorems:
intops
/
intshiftleft
intops
/
band-def
intops
/
bitsand-rec
int2bits
/
bits2int-split
int2bits
/
bits2int-split-01
int2bits
/
bits2uint-ones
intops
/
bor-256-plus-01
int-mult
/
modlsp-02
int2bits
/
int2bits-pos
intops
/
bor-256-plus
int-basic1
/
lf-01
int-basic2
/
ls-01
Used simplifier rules:
list
/bitlista/
Two
int2bits
/
uint2bits-one
int2bits
/
uint2bits-pos-num
int2bits
/
int2bits-pos-num
int2bits
/
bits2uint-one-03
int2bits
/
bits2uint-zero
int2bits
/
bits2int-pos
list
/bitlista/
a
intops
/
and-zero-01
intops
/
and-rec-07
list
/bitlista/
Last
int2bits
/
int2bits-first-01
bitopsaux
/
inv-mklist
int-abs
/
neg-02
int-mult
/
minus-left
int-abs
/
subsub
int2bits
/
int2uint-inv-01
bitlista
/
inmklist-01
list-last
/bitlista/
mk-empty
int-abs
/
numsub
int-mult
/
pred-rmerge
int-mult
/
modzero-03
int-basic2
/
succ-01
int-basic1
/
trans
int-basic1
/
lf-01
int-mult
/
modzero-01
int-abs
/
anti
int-basic1
/
lf-03
int-abs
/
numls-03
int-abs
/
lels-03
int-abs
/
absle
int2bits
/
int2bits-first-02
int2bits
/
int2bits-not-empty
list-data
/bitlista/
l
int-basic2
/
add-zero
list-last
/bitlista/
mk-len
int2bits
/
bits2uint-zeros-04
int2bits
/
uint2uint-pos
intops
/
band-associativity
int-abs
/
lels-01
int-abs
/
lels
int-abs
/
forward-lels
int-basic1
/
numlsf
int-abs
/
forward-lsle
int-basic2
/
ls
int-mult
/
zero-ls
int-abs
/
lels-04
int-mult
/
zero-ge-add
int-abs
/
numlsf-01
int-mult
/
succ-rmerge
int-mult
/
associativity
int-basic2
/
add-a
int-div
/
nummult-ls-02
int-abs
/
numls-02
int-mult
/
commutativity
int-basic2
/
add-c
intops
/
band-commutativity