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Theorem int2bits-len-pos
0 ≤ i, 2 ^ i ≤ j, j < 2 ^ (i + 1) ⊦ # int2bits(j) = i→n(i + 2)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
bits2int-le8-01
,
int2bits-lelen
,
int2bits-len-eq
,
int2bits-len-neg-01
,
int2bits-len-pos-pred
,
int2bits-len-range
,
int2bits-leneq-pos
,
int2bits-lslen-07
,
int2bits-lslen-08
,
int2bits-restsgn
,
Used by units in proved state:
intops
,
bytes
,
byte
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 3
Used lemmas:
uint2bits-len
,
int2bits-pos
,
Used spec theorems:
Used simplifier rules:
int-abs
/
lels-04
int-abs
/
lels
int-abs
/
lels-03
int-mult
/
zero-gr
int-div
/
nummult-ls-02
int-basic1
/
trans
int-basic1
/
lf-01
int-abs
/
forward-lsle
int-mult
/
commutativity
int-mult
/
associativity
int-mult
/
one
int-mult
/
numls-09
int-abs
/
forward-lels
int-basic2
/
add-c
int-basic2
/
add-a
int-pot
/
succ
int-abs
/
lels-01
int-basic1
/
ls-01