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Theorem uint2bits-2pot
0 ≤ i ⊦ uint2bits(2 ^ i) = false ' + true ' + mklist(false, i→n(i))
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
bits2uint-nle
,
int2bits-2pot
,
int2bits-2pot-01
,
int2bits-add-high
,
int2bits-len-neg
,
int2bits-less-2pot
,
int2int-neg
,
uint2bits-2pot-01
,
uint2bits-2pot-03
,
uint2bits-2potrec
,
uint2bits-mod2pot
,
uint2bits-restsgn
,
uint2bits-sgn-2pot
,
uint2bits-sgn-2pot-01
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 13
Used lemmas:
uint2bits-zero
,
uint2bits-one
,
uint2bits-rec-01
,
Used spec theorems:
int-pot
/
div2
int-pot
/
two-mod
Used simplifier rules:
list
/bitlista/
in-13
list
/bitlista/
in-14
int-basic1
/
ls-01
nat-basic2
/
s
intnat
/
labs
int-abs
/
abs-16
int-basic1
/
irref
nat-basic2
/
c
nat-basic2
/
a
list-last
/bitlista/
mk-last
list-last
/bitlista/
mk-plus
intnat
/
abs-succ-03
list
/bitlista/
app
list-last
/bitlista/
mk-zero
int-abs
/
anti
int-basic1
/
lf-03
list-last
/bitlista/
mklist-one
int-abs
/
mone-06
int-abs
/
forward-lele
int-abs
/
forward-lels
int-abs
/
lels
int-abs
/
numls-02
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
numle-02
int-abs
/
elim-sub
list
/bitlista/
Last
int-pot
/
grz
int-abs
/
lels-01
int-abs
/
lels-04
int-pot
/
eqone
list
/bitlista/
Two
list
/bitlista/
app-01
list
/bitlista/
app-04
list-last
/bitlista/
mk-empty
intnat
/
abs-zero
list
/bitlista/
a
int-abs
/
lels-02