[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 fw-frag
fwsim(IOAut(cstart, cstep, cext), IOAut(astart, astep, aext), r), frag*(IOAut(cstart, cstep, cext))(csl, cal), r(as, csl[0]) ⊦ ∃ asl, aal. asl[0] = as ∧ frag*(IOAut(astart, astep, aext))(asl, aal) ∧ cext !(cal) = aext !(aal) ∧ r(asl.last, csl.last)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
fw-trans-aux
,
Used by units in proved state:
IOrefine-conds-imply-IOrefine
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 24
Proof steps: 50
Used lemmas:
proofobls-forwardsim
,
Used spec theorems:
IOtrace
/
finfrag-rec
IOtrace
/
move
list-del
/
get-append-less
IOtrace
/
finfrag-split
Unknown
/
Unknown
stream
/
fin-finlen-tolen
stream
/
append-from-le
list-del
/
rest-app
IOtrace
/
fragstar
list-last
/
lapp
Used simplifier rules:
IOtrace
/
not-finfrag-empty
list
/
c
list
/
a
list-del
/
get-zero
list-last
/
last-one
list
/
app
remtau
/
finremtau-empty
list
/
c-03
list
/
c-08
IOtrace
/
finfrag-onlyone
list-del
/
one-03
IOtrace
/
finfrag-one
remtau
/
finremtau-one
remtau
/
finremtau-append
list-data
/
elim-list-c
list-last
/
last-rec
list
/
e
list
/
app-02
IO-Aut-data
/
sel-IOAut-dotext
list
/
len-06
list-del
/
get-append-grt
nat-basic
/
zero
list-data
/
l
list-data
/
size-nil
nat-basic
/
l-02
list
/
len
nat
/
lels
IOtrace
/
fragfin-size-le1
nat-basic
/
a
nat-basic
/
c
nat-basic
/
f
stream
/
append-from-size
list-del
/
firstN-len
nat
/
succ-01
IOtrace
/
fragfin-size-notls
list-getput
/
get-zero-01
list-data
/
elim-add
stream
/
to-succ-cons-l-lem
nat-basic
/
s-04
nat-basic
/
succ
list
/
len-05
IOtrace
/
fragfin-size-ls-02
IOtrace
/
fragfin-size-02
nat
/
lep
nat
/
le-def
nat-basic
/
lf-01
list-last
/
last-elim
list
/
in-rec
list
/
in-17
list
/
in-append
list
/
in-15
list
/
in-14
list
/
inapp-08
list
/
in-append0-not-left
nat-basic
/
lf-02
list
/
ni
list
/
len-02
nat-basic
/
eq-01
list-del
/
restn-prefix
nat
/
elim-sub
nat-basic
/
add-base
list-del
/
restN-zero
nat-basic
/
eq-inc-neq
list-last
/
lapp
IOtrace
/
fragstar-onestate