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Theorem proj-exec-fin
exec*(Π(IOAut(lstart, lstep, lext), IOAut(rstart, rstep, rext), lren, rren))(psl, pal) ⊦ exec*(IOAut(rstart, rstep, rext))(πrs(lstep, rstep, lren, rren, psl, pal), πra(lstep, rstep, lren, rren, psl, pal))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
proj-exec
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 14
Proof steps: 33
Used lemmas:
projaction-rec-addboth
,
projstate-rec-addboth
,
projaction-rec-addR
,
projstate-rec-addR
,
projaction-rec-skipL
,
projstate-rec-skipL
,
finfrag-pis-nonempty
,
projaction-base
,
projstate-base
,
finfrag-init
,
finfrag-pis-init
,
Used spec theorems:
IOtrace
/
finfrag-rec
product
/
lrstep-def
Used simplifier rules:
IO-Aut-data
/
sel-IOAut-dotstart
IOtrace
/
finexec
product
/
product-def
list-getput
/
get-zero-01
IOtrace
/
not-finfrag-empty
list-data
/
elim-list-c
list
/
c
list
/
a
list-del
/
get-zero
list
/
e
list
/
app-02
product
/
lrstart-def
IOtrace
/
fragfin-size-02
list-data
/
size-nil
list-data
/
l
list
/
app
IOtrace
/
finfrag-one
nat-basic
/
succ
list
/
len-05
nat-basic
/
z-01
nat-basic
/
a
nat-basic
/
c
nat-basic
/
eq-01
list
/
c-08