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Theorem band-011x-is-unsigned-fix-01
⊦ ¬ false ∈ int2bits(i).rest ∧ 0 ≤ i → band(j, i) = bits2uint(fix((# int2bits(i))-1, int2bits(j)))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
band-011x-is-unsigned-fix-03
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas:
band-commutativity
,
band-associativity
,
band-zero
,
band-011x-is-unsigned-fix
,
Used spec theorems:
int2bits
/
int2bits-falsein-02
Used simplifier rules:
int2bits
/
bits2uint-base
bitopsaux
/
fix-zero
int-abs
/
anti
int-abs
/
lels
int-pot
/
pot2-pos
int-abs
/
leone
int-abs
/
sub-le-01
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
z
nat
/
add-01
list
/bitlista/
a
list-last
/bitlista/
mk-len
list
/bitlista/
len-02
list
/bitlista/
len
int2bits
/
int2bits-2pot-02
int-abs
/
lels-01
int-pot
/
two-minus
int-abs
/
forward-le-01
nat
/
pred-03