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Theorem int2bits-mod2pot
⊦ 0 < j ∧ 0 ≤ j0 ∧ j0 < 2 ^ i ∧ 0 ≤ i → int2bits(j * 2 ^ i + j0) = int2bits(j) + fillsgn(i→n(i + 1), int2bits(j0)).rest
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
int2bits-mod256
,
int2bits-rec-2pot-pos
,
Used by units in proved state:
byte
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 10
Used lemmas:
uint2bits-2potrec
,
int2bits-pos
,
Used spec theorems:
int-div
/
modeq-pos
Used simplifier rules:
nat-basic2
/
c
int-abs
/
lels
int-abs
/
lels-03
list
/bitlista/
a
list
/bitlista/
app-01
int-mult
/
zero-gr
int-basic2
/
ls-02
int-abs
/
forward-lsle
int-div
/
mult
int-abs
/
lels-04
int-mult
/
ls-add
int-abs
/
anti
int-basic1
/
lf-03
int-basic1
/
lf-02
int-abs
/
forward-lels
intnat
/
rax-04
int-mult
/
zero-ge-add
int-abs
/
lels-01
int-basic1
/
ls-01
int-mult
/
associativity
int-mult
/
commutativity
int-basic2
/
add-a
int-basic2
/
add-c