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Theorem uint2bits-mod2pot-01
⊦ 0 ≤ i ∧ 0 < j ∧ 0 ≤ j0 ∧ j0 < 2 ^ i → uint2bits(j * 2 ^ i + j0) = uint2bits(j) + fillsgn(i→n(i) + 1, uint2bits(j0)).rest
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
uint2bits-add-high-01
,
uint2bits-add-low-01
,
uint2bits-len-add
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 6
Used lemmas:
uint2bits-2potrec
,
Used spec theorems:
int-div
/
diveq-pos
int-div
/
modeq-pos
Used simplifier rules:
nat-basic2
/
c
list
/bitlista/
a
list
/bitlista/
app-01
int-mult
/
zero-ge-add
int-basic1
/
ls-01
int-abs
/
lels
intnat
/
rax-04
int-pot
/
pot2-pos
int-abs
/
forward-le-01
int-abs
/
forward-le-05
int-abs
/
zero-gels-04
int-abs
/
lels-01
int-mult
/
ls-add
int-abs
/
lels-03
int-mult
/
associativity
int-mult
/
commutativity
int-basic2
/
add-a
int-basic2
/
add-c