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Theorem bits2bytes-mklist-03
⊦ n % 8 ≠ 0 → bits2bytes(mklist(true, n)) = mklist(i2b(~1), n / 8 + 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: 9
Proof steps: 18
Used lemmas:
bits2bytes-mklist-02
,
bits2bytes-base
,
bits2bytes-rec-01
,
Used spec theorems:
int2bits
/
bits2int-ones
nat-div
/
zero-01
list-del
/bitlista/
rest-mklist
Used simplifier rules:
nat-div
/
div-mult
list-last
/bytelist/
mk-inj-01
list
/bytelist/
app-01
int2bits
/
bits2int-one
int2bits
/
bits2int-mklist-06
nat-div
/
mod-le-02
nat
/
eq-01
nat-div
/
mod-mult-01
nat-mult
/
mult-a
nat-mult
/
mult-c
nat-basic1
/
trans
nat-basic1
/
trans-1
nat-mult
/
zero-01
nat-basic2
/
z
nat-basic2
/
succ
nat-basic2
/
l-02
nat-div
/
div-elim
list-del
/bitlista/
first-mklist
nat-div
/
mod-le
nat-basic1
/
f
nat
/
anti
list-last
/bytelist/
mk-empty
list
/bytelist/
app-04
bitlista
/
inmklist-01
list-last
/bitlista/
mk-empty
list-last
/bitlista/
mk-zero
list-last
/bytelist/
mk-zero
list
/bytelist/
app
list
/bytelist/
c-04
nat
/
lels-01
nat
/
le-ls-simp
nat
/
lels
list-last
/bitlista/
mk-len
nat-basic2
/
c
nat-basic2
/
a
list
/bytelist/
a
list-last
/bytelist/
mk-last
list-last
/bytelist/
mklist-one
list-last
/bytelist/
mk-plus