[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 rmpos-get
⊦ n + 1 < # x ∧ m < # x → (x -p m)[n] = (n < m ⊃ x[n];x[n + 1])
Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 27
Used lemmas:
get-succ
,
get-zero
,
get-append-grt
,
delpos-rec
,
delpos-base
,
Used spec theorems:
Used simplifier rules:
nat-basic
/
c
nat-basic
/
a
list-getput
/
get-rec-01
list-data
/
l
nat-basic
/
f
nat
/
lels
nat-basic
/
s-04
list
/
a
nat-basic
/
succ
list
/
len-05
list
/
c
nat-basic
/
l
list
/
c-07
list
/
e-01
nat
/
fle
nat
/
lez
nat-basic
/
less-zero
nat
/
succ-01
list
/
len-02
nat-basic
/
one-01
nat-basic
/
lf-02
nat
/
elim-pred-c
nat-basic
/
trans-nat
nat-basic
/
lf
nat-basic
/
oz
nat-basic
/
ls-02
nat
/
lels-03
nat
/
fle-01
list-getput
/
get-zero-01
list-data
/
elim-list-c
nat
/
le-ls-simp