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Theorem inv-fill
⊦ bits ≠ [] → bitsinvert(fillsgn(n, bits)) = fillsgn(n, bitsinvert(bits))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
intops
,
int2bits
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 11
Used lemmas:
inv-len
,
fillsgn-fill
,
inv-one
,
inv-mklist
,
inv-append
,
fill-fill
,
fillsgn-longer
,
Used spec theorems:
Used simplifier rules:
nat-basic1
/
ls-02
nat
/
elim-sub
nat-basic2
/
l-01
nat
/
lels-03
list-data
/bitlista/
elim-list-c
list
/bitlista/
len-02
list
/bitlista/
len
list-last
/bitlista/
mk-last
list
/bitlista/
e-01
list
/bitlista/
c
nat
/
eq-01
list-last
/bitlista/
mk-plus
list-last
/bitlista/
mklist-one
list
/bitlista/
app-01
list
/bitlista/
a
nat-basic2
/
s
nat-basic2
/
l-02
nat-basic2
/
a
nat-basic2
/
c
nat
/
lels-01
nat
/
fle
nat
/
fle-01
nat-basic1
/
f
nat-basic1
/
ref-1