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Theorem int2bytes-len-pos-01
0 ≤ i, 2 ^ (8 * (i + 1) - 1) ≤ j, j < 2 ^ (8 * (i + 1)) ⊦ # int2bytes(j) = i→n(i + 2)
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: 12
Proof steps: 22
Used lemmas:
int2bytes-len-fits
,
int2bytes-len-adjust
,
Used spec theorems:
int2bits
/
int2bits-len-pos
int2bits
/
int2bits-leneq-pos
int-mult
/
modlsp
int-mult
/
modlsp-03
intnat
/
add-01
intnat
/
num-n2i-eq
Used simplifier rules:
intnat
/
rax-04
nat-basic2
/
eq-01
nat
/
add-num-01
int-basic2
/
add-zero
nat-basic2
/
oz
int-abs
/
minus-add
int-abs
/
ler
nat-basic1
/
twols-02
int-mult
/
ls-dist
int-abs
/
les
int-abs
/
succ-01
intnat
/
nat2int
intnat
/
num-n2i-ls
nat
/
lels
nat
/
ls-le-simp
int-div
/
nummult-ls-03
int-basic1
/
forward-pos
nat
/
ler
intnat
/
le
int-abs
/
succ-02
int-basic2
/
ls-01
int-abs
/
zero-gels-03
int-basic1
/
two-ls
int-abs
/
sub-eq-01
int-pot
/
2pot-leone
intnat
/
n2i-add
nat-basic2
/
one
nat-basic2
/
z-01
nat-basic2
/
one-01
int-abs
/
lels
nat-basic1
/
lf-02
int2bits
/
int2bits-len-one
intnat
/
num-i2n-eq
int-abs
/
numadd-01
int-pot
/
two-lez-01
int-div
/
nummult-ls
int-abs
/
numls-03
int-abs
/
lels-04
nat-basic1
/
f
int-basic2
/
lst-02
int-mult
/
ls-pos
int-abs
/
Sub-def
int-abs
/
numls-02
int-abs
/
mone-06
int-abs
/
zero-gels-04
int-mult
/
Mult-zero
int-mult
/
numls-01
int-abs
/
numsub
int-abs
/
sub-add-01
int-abs
/
sub-ls
int-pot
/
ls-pos-2pot-01
int-div
/
nummult-le-02
nat-basic1
/
z
intnat
/
num-n2i-ls-02
int-mult
/
zero-gr
int-abs
/
leone
int-abs
/
sub-le-01
int-pot
/
pot2-pos
int-abs
/
forward-le-05
intnat
/
n2i-mult
nat-mult
/
zero-01
nat-basic1
/
one
nat-mult
/
zero-num
nat-mult
/
mult-a
nat-mult
/
mult-c
nat-mult
/
one-01
int-abs
/
forward-lsle
int-abs
/
forward-le-02
int-pot
/
two-lsz
list-data
/bitlista/
l
int2bits
/
int2bits-not-empty
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
z
nat-div
/
div-elim
int-abs
/
lels-01
int-abs
/
lels-03
int-mult
/
associativity
int-basic2
/
add-a
int-abs
/
numleledel-01
int-abs
/
numle-02
int-mult
/
zero-ge
int-pot
/
pot2-ls-pred
int-abs
/
forward-le-01
int-abs
/
forward-lels
int-mult
/
commutativity
int-basic2
/
add-c