[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 sublist-prefix
⊦ n ≤ n1 ∧ n1 + m0 < # x → (¬ sublist(m0, n + 1, x) ⊑ sublist(m0, n1 + 1, x) ↔ false)
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
olist
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 14
Used lemmas:
restN-rec
,
restn-apprec
,
rest-rest1
,
first-num
,
firstN-zero
,
firstN-rec
,
sublist-def
,
Used spec theorems:
Used simplifier rules:
nat
/
lez
list-last
/
prefix-nil
nat
/
succ-01
list-last
/
prefix-rec-02
nat
/
pred-03
nat
/
elim-pred-c
nat
/
lels
nat-basic2
/
s
nat-basic2
/
oz
nat-basic2
/
nls-fst
list-data
/
elim-list-c
list-data
/
l
nat-basic1
/
f
nat-basic2
/
l-08
nat-basic2
/
c
nat-basic2
/
a
nat-basic2
/
l
nat-basic2
/
succ
list
/
len-05
list
/
a
list
/
e-01
list
/
c