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Theorem int2bytes-index-rightshift-02
⊦ 0 < i1 ∧ i1 ≤ n→i(# int2bytes(i)) ∧ i1 ≤ 4 → int2bytes(i)[i→n(n→i(# int2bytes(i)) - i1)] = i2b(i i>> 8 * (i1 - 1))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 15
Used lemmas:
int2bytes-index-rightshift-01
,
int2bytes-empty
,
Used spec theorems:
intnat
/
sub
intops
/
intshiftright-def-unbounded
intops
/
band-31-pos-01
intnat
/
n2i-sub
intnat
/
num-n2i-ls-06
Used simplifier rules:
intnat
/
n2i-sub
nat-basic2
/
succ
nat-basic1
/
trans-1
nat-basic1
/
trans
int-abs
/
sub-add-01
int-abs
/
sub-sub-04
int-abs
/
sub-add-05
nat
/
le-ls-simp
int-abs
/
lels-02
nat-basic1
/
f
nat
/
lels-01
int-abs
/
forward-lsle
nat
/
let
intnat
/
n2i-add
intnat
/
i2i-pos
nat-basic2
/
a
nat-basic2
/
c
nat
/
le-add
intnat
/
abs-zero
int-abs
/
lep
int-basic2
/
add-a
int-basic2
/
add-c
nat
/
lep
nat-basic2
/
z
int-basic2
/
add-zero
nat
/
elim-sub
nat
/
lels
nat
/
lez
int-mult
/
zero-ge
int-abs
/
sub-le-01
int-abs
/
leone
int-abs
/
lels
int-abs
/
anti
int-mult
/
associativity
int-mult
/
commutativity
int-div
/
nummult-le
int-abs
/
sub-le
int-abs
/
numleledel
nat
/
sub-base
intnat
/
nat2int
int-abs
/
forward-le-01
intnat
/
n2n
list-data
/bytelist/
l
nat-basic1
/
z
intnat
/
num-n2i-ls-02
int-abs
/
forward-le-05
int-abs
/
forward-le
int-abs
/
lels-01
int-abs
/
lels-04
int-basic1
/
ls-01