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Theorem bits2bytes-mklist-02
⊦ n % 8 = 0 ∧ n ≠ 0 → bits2bytes(mklist(true, n)) = mklist(i2b(~1), n / 8)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
bits2bytes-mklist-03
,
fix-bits2bytes
,
fix-bits2bytes-01
,
int2bytes-rec-neg-05
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 13
Proof steps: 25
Used lemmas:
bits2bytes-base
,
bits2bytes-rec
,
Used spec theorems:
nat-mult
/
leone
nat-div
/
modex
list-del
/bitlista/
first-mklist
list-del
/bitlista/
lastn-mklist
int2bits
/
bits2int-ones
nat-mult
/
dist-sub-01
list-last
/bytelist/
mk-rec
Used simplifier rules:
list
/bytelist/
c
list
/bytelist/
app-01
nat-div
/
mult-01
list
/bytelist/
a
list-last
/bytelist/
mk-last
nat
/
zero-01
nat-div
/
mod-mult-01
nat
/
ls-01
nat-mult
/
coef-21
nat-basic2
/
s
nat-basic1
/
ref-1
list
/bitlista/
in-06
list
/bitlista/
e-01
list
/bitlista/
in-append
list
/bitlista/
in-17
list
/bitlista/
app-02-ant
list
/bitlista/
e
list
/bitlista/
a
list
/bitlista/
app
list-last
/bitlista/
mk-zero
bitlista
/
mklist-num-01
nat
/
lep
nat
/
lels-03
nat-mult
/
ls-01
nat
/
ls-03
nat-mult
/
coef-20
nat-basic2
/
l-02
nat-basic2
/
a
nat-basic2
/
c
nat-basic1
/
f
list
/bytelist/
Last
nat
/
one-02
nat-div
/
div-mult
nat-mult
/
mult-c
nat-mult
/
mult-a
nat-mult
/
zero-01
list-last
/bytelist/
mk-one-01
int2bits
/
bits2int-one
int2bits
/
bits2int-mklist-06
nat
/
lels-01
nat
/
le-ls-simp
nat
/
lels
list-last
/bitlista/
mk-len