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Theorem ubits2bits
⊦ bits ≠ [] ∧ bits.first → bits2uint(bits) = bits2int(bits) + 2 ^ n→i(# bits)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
bits2ubits
,
int2int-lastn-posneg
,
Used by units in proved state:
intops
,
bytes
,
byte
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 12
Proof steps: 22
Used lemmas:
bits2uint-base
,
bits2uint-zero
,
bits2uint-one
,
bits2uint-rec
,
bits2uint-succ
,
bits2int-neg-03
,
Used spec theorems:
int-pot
/
succ
list
/bitlista/
first-01
Used simplifier rules:
bitopsaux
/
inv-one-01
bitopsaux
/
invert-base
list-data
/bitlista/
size-01
nat-basic2
/
s
nat-basic1
/
ref-1
int-mult
/
eq-pos
intnat
/
nat2int
list
/bitlista/
e-02
int-mult
/
commutativity
int-mult
/
associativity
int-mult
/
succ-rmerge
int-mult
/
dist-rmerge
bitopsaux
/
inv-false
bitopsaux
/
inv-append
nat-basic2
/
c
nat-basic2
/
a
intnat
/
n2i-add
list
/bitlista/
a
list
/bitlista/
len-02
list
/bitlista/
len
list-last
/bitlista/
last-elim
bitopsaux
/
inv-empty
int-abs
/
sub-eq
int-basic2
/
add-c
int-basic2
/
add-a
int-abs
/
neg-15