[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem fix-bits2bytes-01
⊦ bits ≠ [] ∧ n ≠ 0 ∧ # bits ≤ 8 * n → fix(n, bits2bytes(bits)) = bits2bytes(fillsgn(n * 8, bits))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
int2bytes-rec-neg-02
,
int2bytes-rec-neg-05
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 104
Proof steps: 186
Used lemmas:
bits2bytes-mklist-02
,
bits2bytes-base
,
bits2bytes-rec-02
,
bits2bytes-mklist
,
bits2bytes-app
,
bits2bytes-fill
,
bits2bytes-empty
,
fix-longer
,
bits2bytes-len-02
,
bits2bytes-len-01
,
bits2int-pos
,
fix-pos
,
bits2int-neg
,
fix-neg
,
Used spec theorems:
nat-mult
/
mod-nle-01
nat
/
add-01
nat-mult
/
mult-c
nat-mult
/
le
list-del
/bytelist/
lastN-all
nat
/
prop
list-del
/bitlista/
first-mklist
nat-mult
/
dist-sub-01
list-last
/bytelist/
mk-rec
list-last
/bitlista/
mk-plus
list
/bitlista/
a
nat-basic2
/
c
nat
/
sub-add
nat-mult
/
succ
nat
/
zero-02
nat-div
/
div-add
nat-div
/
mult
nat
/
shift-01
nat-div
/
modex
nat-mult
/
zero-01
nat-mult
/
dist-sub
Used simplifier rules:
list-last
/bytelist/
mk-inj-01
nat-div
/
div-mult
nat
/
sub-ls
nat
/
ls-03
list
/bytelist/
c
nat-mult
/
eq-same
nat
/
elim-sub
list
/bytelist/
app-04
nat-div
/
nummult-eq
nat
/
not-zero
list-del
/bitlista/
rest-mklist
nat-mult
/
ls-01
list
/bitlista/
len-02
int2bits
/
bits2int-pos
int2bits
/
bits2uint-zero
int2bits
/
bits2uint-one-02
list
/bytelist/
c-04
nat-basic2
/
eq
list
/bitlista/
app
bitlista
/
mklist-num
list-last
/bytelist/
mklist-one
nat
/
eq-03
nat-mult
/
coef-19
nat
/
ls
nat-mult
/
zero-02
nat-div
/
mult-ls
list
/bytelist/
app-03
list-last
/bytelist/
mk-empty
list
/bytelist/
app-05
nat
/
ls-02
nat
/
ls-01
nat-basic1
/
one-01
nat-mult
/
ls
nat-mult
/
coef-17
nat
/
eq-02
list
/bytelist/
a
list
/bytelist/
app-01
nat
/
prop-07
nat-mult
/
modeq-01
nat-basic1
/
ls-02
nat
/
zero-01
list
/bitlista/
app-02-ant
list-last
/bitlista/
mk-len
list
/bitlista/
len
nat-mult
/
modls
nat-basic1
/
lf-02
nat-mult
/
zero-01
nat
/
zero-02
list-last
/bitlista/
mk-empty
nat
/
lels-02
nat-div
/
mod-mult-01
list
/bitlista/
a
list
/bitlista/
Nil
list-last
/bitlista/
mk-zero
nat
/
zero
nat
/
anti
nat-div
/
mult-01
nat
/
lels-03
list-last
/bitlista/
mk-plus
nat
/
lep-01
nat-basic2
/
l
nat-basic2
/
neq-01
nat-basic2
/
eq-01
nat-basic2
/
succ-03
list-data
/bytelist/
l
nat
/
cancel-01
nat-div
/
mult
nat-div
/
zero-01
nat-basic2
/
z
nat-basic1
/
ref-1
nat-div
/
mod-mult
nat-div
/
mod-eq
nat
/
succ-01
nat
/
ge
nat
/
ler
nat-basic2
/
s
nat
/
lep-02
nat-mult
/
mult-a
nat-mult
/
rsucc-02
nat-basic2
/
oz
nat-basic1
/
lf-01
nat
/
eqle-one
nat-basic2
/
c
nat-basic2
/
a
nat
/
les
nat-div
/
div-elim
nat
/
lels-01
nat-basic1
/
f
nat
/
ls-le-simp
nat
/
lels
bitopsaux
/
fill-fill
nat-mult
/
mult-c