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Theorem int2bytes-rec-neg-06
j < ~(2 ^ (i * 8 - 1)), 0 < i ⊦ int2bytes(j) = int2bytes((j - (2 ^ (i * 8) - 1)) / 2 ^ (i * 8)) + fix(i→n(i + 1), int2bytes(j % 2 ^ (i * 8))).rest
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
int2bytes-rec255-neg
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 26
Proof steps: 43
Used lemmas:
int2bytes-rec-neg-04
,
int2bytes-byte
,
int2bytes-rec-neg-05
,
Used spec theorems:
int-div
/
modex
int-abs
/
Abs-neg
int-div
/
mod-neg-01
int-pot
/
zero
int-abs
/
mone-07
int-div
/
Div-left
int-pot
/
two-zero
int-div
/
div-add-neg
int-div
/
div-zero-02
int-div
/
div-zero-01
Used simplifier rules:
int-abs
/
numlelsdel
int-abs
/
zero-gels-03
list
/bytelist/
c-04
int-abs
/
abs-05
int-abs
/
subsub
int-basic2
/
zero-02
int-mult
/
Mult-zero
int-abs
/
anti
int-abs
/
mone-08
int-abs
/
forward-le-04
int-abs
/
forward-lels
int-abs
/
neg-13
int-abs
/
abs-08
int-abs
/
lels-02
int-div
/
div-elim-negpos
int-div
/
div-same
int-div
/
mod-neg-01
int-basic1
/
numlsf
int-abs
/
numadd-01
int-abs
/
minus-add
int-pot
/
2pot-leone
int-div
/
nummult-ls
int-abs
/
lsone
int-div
/
mod-same
int-abs
/
neg-05
int-abs
/
numls-03
int-mult
/
minus-one-01
int-abs
/
neg-15
int-pot
/
two-lez-01
int-mult
/
le-one
int-mult
/
add-mult-two
int-abs
/
Abs-pos
int-abs
/
neg-06
int-abs
/
minus-sub
int-abs
/
sub-le-01
int-abs
/
lep-01
int-pot
/
abs-2pot
int-mult
/
zero-ge
int-pot
/
pot2-pos
int-mult
/
zero-ls
int-basic1
/
lst-01
int-pot
/
two-lsz
int-basic2
/
ls
int-abs
/
forward-lsle
int-abs
/
forward-le-01
int-div
/
mod-mult-04
int-abs
/
sub-ls
int-basic2
/
add-zero
int-pot
/
pot2-pos-01
int-abs
/
sub-add-01
int-abs
/
sub-eq
int-abs
/
Sub-def
int-basic2
/
add-in
int-div
/
div-mult-03
int-mult
/
zero-gr
int-mult
/
associativity
int-abs
/
numsub
int-mult
/
commutativity
list
/bytelist/
a
list
/bytelist/
app-03
int-abs
/
zero-gels-01
nat-basic2
/
c
int-abs
/
lels-03
int-abs
/
lels
int-abs
/
forward-le-05
int-abs
/
forward-le-02
int-abs
/
neg-07
int-basic2
/
add-c
int-basic2
/
add-a
intnat
/
abs-succ-03
int-abs
/
sub-sub-04