[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 shiftzero-pos
⊦ 0 ≤ i → >>>(n, i, j) = i >> j
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
divide-by-10
,
longshiftzero-carry-01
,
longshiftzero-not-neg
,
longshiftzero-pos
,
shiftzero-not-neg
,
shiftzero-zero
,
Used by units in proved state:
byte
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 36
Proof steps: 62
Used lemmas:
shiftrsign-01
,
shiftrzero-def-01
,
Used spec theorems:
list-del
/bitlista/
sublist-def
bitopsaux
/
fillsgn-longer
bitopsaux
/
fill-length
bitopsaux
/
fill-fill
int2bits
/
bits2int-zero-01
list-del
/bitlista/
firstn-first
list-del
/bitlista/
first-append
list-del
/bitlista/
first-mklist
int2bits
/
bits2int-zeros-03
list-last
/bitlista/
mklist-append
list-del
/bitlista/
firstn-app-01
nat
/
shift
nat
/
sub-same
list-last
/bitlista/
mk-first
int2bits
/
bits2int-mklist
Used simplifier rules:
list
/bitlista/
app-02-ant
nat-basic1
/
one
nat
/
ls-03
list
/bitlista/
app-03
list-last
/bitlista/
mk-zero
list-data
/bitlista/
size-01
nat-basic1
/
less-1
list-del
/bitlista/
first-mklist-04
nat
/
ler
nat-basic1
/
ref-1
int-abs
/
ler
intnat
/
labs-01
list
/bitlista/
app
list-del
/bitlista/
firstN-zero
nat
/
zero
nat-basic1
/
lf-02
nat
/
zero-01
int-abs
/
lels-04
nat-basic2
/
succ
list-data
/bitlista/
l
nat-basic1
/
trans
nat
/
lels-02
nat
/
zero-02
list-del
/bitlista/
firstN-empty
nat
/
fle-01
bitlista
/
inmklist
list-last
/bitlista/
mk-empty
nat-basic2
/
z
nat
/
eq-02
nat
/
fle
nat
/
le-ls-simp
nat-basic2
/
l-01
nat-basic2
/
l
nat
/
elim-sub
list
/bitlista/
len
list-last
/bitlista/
mk-plus
nat-basic2
/
a
nat-basic2
/
c
list
/bitlista/
app-01
list
/bitlista/
a
int2bits
/
bits2int-mklist-04
intnat
/
abs-zero
list-last
/bitlista/
mk-len
int2bits
/
int2bits-not-empty
nat
/
lels-03
nat-basic1
/
ls-02
nat-basic1
/
f
nat
/
lels-01
int-abs
/
zero-gels-04
int-abs
/
lels
int2bits
/
int2bits-first-02
list-del
/bitlista/
restN-zero
int-abs
/
forward-le-01