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Theorem fix-bits2bytes
⊦ bits ≠ [] ∧ n ≠ 0 ∧ # bits ≤ 8 * (n - 1) → fix(n, bits2bytes(bits)) = bits2bytes(fillsgn(n * 8, bits))
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: 64
Proof steps: 113
Used lemmas:
bits2bytes-mklist-02
,
bits2bytes-fill
,
bits2bytes-mklist
,
bits2bytes-app
,
bits2bytes-len-02
,
bits2bytes-len-01
,
bits2int-pos
,
fix-pos
,
bits2int-neg
,
fix-neg
,
Used spec theorems:
nat-mult
/
mod-nle
bitopsaux
/
fill-fill
list-last
/bitlista/
mk-plus
list
/bitlista/
a
nat-div
/
mult
nat
/
shift-01
nat-div
/
modex
Used simplifier rules:
bitlista
/
mklist-num-01
list-last
/bytelist/
mk-inj-01
nat-mult
/
dist-sub-03
nat-mult
/
zero-02
nat-div
/
mult-ls
list
/bytelist/
app-03
nat-basic1
/
less-1
nat
/
add-num-03
list-last
/bitlista/
mk-plus
bitlista
/
mklist-num
list
/bitlista/
app
list-last
/bitlista/
mk-last
nat-mult
/
coef-04
nat
/
eq-02
list
/bytelist/
app-01
nat-div
/
zero-01
nat-div
/
mod-eq
nat
/
prop-07
nat-mult
/
modeq-01
nat-div
/
mod-mult-01
nat-basic2
/
eq-01
list-last
/bytelist/
mk-last
list-last
/bytelist/
mklist-one
list-last
/bytelist/
mk-plus
nat
/
elim-pred-c
nat-basic2
/
l-01
nat-div
/
mod-mult
nat
/
lels-03
nat-basic1
/
ls-02
nat
/
elim-sub
list
/bitlista/
app-02-ant
list-last
/bitlista/
mk-len
list
/bitlista/
len
nat-mult
/
modls
nat-basic1
/
lf-02
nat-mult
/
zero-num
nat
/
lels-02
nat
/
let
nat-mult
/
dist-sub-04
nat-mult
/
mult-base
list-last
/bitlista/
mk-zero
list
/bitlista/
Nil
list
/bitlista/
a
list
/bytelist/
app-05
list-last
/bytelist/
mk-empty
nat
/
zero-01
list
/bytelist/
a
nat
/
zero-02
list-last
/bitlista/
mk-empty
nat
/
fle
list-data
/bitlista/
l
nat-mult
/
ls
nat
/
ls
nat-basic2
/
l-02
nat-div
/
mult-01
nat-mult
/
le-num
nat
/
ls-02
nat
/
succ-01
nat
/
lep-01
nat
/
add-01
nat
/
ler
nat
/
lep-02
nat-mult
/
mult-a
nat-mult
/
rsucc-02
nat-basic2
/
oz
nat-basic1
/
lf-01
nat
/
eqle-one
nat
/
les
nat
/
le-ls-simp
nat-mult
/
mult-c
nat-basic2
/
z
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
s
nat
/
ls-01
nat-basic1
/
one-01
nat-div
/
div-elim
nat
/
lels-01
nat-basic1
/
f
nat
/
ls-le-simp
nat
/
lels