[Imprint]
[Data Privacy Statement]
[E-Mail]
View
long theorem info
. View
the proof
. Back to
main index
. View
the specification
. View
theorem base summary
, View
theorem base listing
, the
used properties by spec
, the
dependency list
, the
symbol table
,
Theorem fill-fill
⊦ # bits ≤ n ∧ bits ≠ [] → fillsgn(n, bits) = mklist(bits.first, n - # bits) + bits
Type: A user defined theorem
Validity: The proof is valid.
Features: simp,
Comment:
Used by:
fill-empty
,
fill-in
,
fill-lastn-03
,
fill-lastn-04
,
fill-nls
,
fill-one-02
,
fill-rec-false
,
fill-sgn
,
fill-sgn-01
,
inv-fill
,
sgn-fill
,
Used by units in proved state:
intops
,
int2bits
,
bytes
,
byte
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 6
Used lemmas:
fillsgn-fill
,
Used spec theorems:
Used simplifier rules:
nat-basic2
/
l-02
nat-basic2
/
s
nat
/
eq-01
list-last
/bitlista/
mk-plus
list-last
/bitlista/
mklist-one
list
/bitlista/
app-01
list-last
/bitlista/
mk-last
list
/bitlista/
len-02
list
/bitlista/
len
list
/bitlista/
a
list
/bitlista/
e-01
list
/bitlista/
c
list-data
/bitlista/
elim-list-c
nat-basic2
/
c
nat-basic2
/
a
nat
/
lep
nat
/
elim-sub