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Theorem add-ones-lelen
⊦ ¬ false ∈ bits ∧ # bits ≤ # bits0 ∧ bits ≠ [] → bitsand(bits, bits0) = bits0
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
add-ones-lelen-01
,
bitsand-app-ones
,
bitsand-cast
,
bitsand-fillsgn
,
Used by units in proved state:
byte
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 17
Used lemmas:
and-onel-02
,
and-rec
,
Used spec theorems:
Used simplifier rules:
list
/bitlista/
c-03
list-data
/bitlista/
size-01
nat
/
lez-01
nat
/
lez
list
/bitlista/
in-empty
list
/bitlista/
app-01
list
/bitlista/
app
list-data
/bitlista/
lf-01
nat-basic1
/
one
list
/bitlista/
Last
list
/bitlista/
in-06
list-data
/bitlista/
elim-list-c
list-last
/bitlista/
l-02
list-last
/bitlista/
bapp
list
/bitlista/
app-04
list
/bitlista/
e-01
list
/bitlista/
in-17
list
/bitlista/
in-append
nat
/
succ-01
list-last
/bitlista/
last-elim
nat
/
lels
nat-basic2
/
s
list
/bitlista/
app-03
list
/bitlista/
e-02
list
/bitlista/
in-10
nat
/
lep-02
nat
/
lels-01
list
/bitlista/
app-02-ant
list
/bitlista/
e
nat
/
fle
nat-basic1
/
f
nat
/
fle-01
list-data
/bitlista/
l
nat-basic1
/
ref-1
list
/bitlista/
len
list
/bitlista/
len-02
list
/bitlista/
a
list
/bitlista/
c
nat-basic2
/
l
nat-basic2
/
a
nat-basic2
/
c