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Theorem proj-exec-inf
execω(Π(IOAut(lstart, lstep, lext), IOAut(rstart, rstep, rext), lren, rren))(psf, paf) ⊦ exec(IOAut(rstart, rstep, rext))(πrs(lstep, rstep, lren, rren, ⌜psf⌝ , ⌜paf⌝ ), πra(lstep, rstep, lren, rren, ⌜psf⌝ , ⌜paf⌝ ))
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: 26
Proof steps: 45
Used lemmas:
inffrag-pis-lim-init
,
finfrag-pi-step
,
inffrag-size-pis-pia
,
inffrag-lim-size-pis-pia
,
mon-pia
,
mon-pis
,
projaction-inf-def
,
projstate-inf-def
,
Used spec theorems:
streamseq-mon-lim
/
lim-def
IOtrace
/
frag
stream
/
prefix-def
stream
/
extensionality
stream
/
get-append-ls
Used simplifier rules:
IO-Aut-data
/
sel-IOAut-dotstart
IOtrace
/
exec
IOtrace
/
infexec
product
/
product-def
stream
/
sel-inf
nat-inf
/
less-inf2
stream
/
size-inf
stream
/
fun-nonempty
nat-basic
/
succ
nat-inf
/
add-comm
nat-inf
/
add-assoc
stream
/
size-succ
nat-basic
/
c
nat-basic
/
a
nat-inf
/
add-fin
stream
/
sel-fin
nat-inf
/
less-succ-leq
stream
/
append-assoc
stream
/
size-to
stream
/
size-to-02
stream
/
size-append
stream
/
size-fin
nat-inf
/
add-not-less
stream
/
get-append-notls
nat-inf
/
disj-rqui-infty
nat-inf
/
prime-add-fin
nat-inf
/
sel-rqui-dotn
nat-inf
/
less-fin
nat-basic
/
refl-Nat
stream
/
get-to
nat-basic
/
s-04
nat-inf
/
eqls-ls-notls
nat-inf
/
add-inf2
nat-inf
/
add-cancel-num-04
nat-inf
/
eq-natinf-to-nat-3-1
nat
/
lels
nat
/
le-add
nat-basic
/
z-01
nat
/
add-num-03
nat-basic
/
l-01
nat-basic
/
lf-01
nat-basic
/
f
nat-inf
/
ls-natinf-to-nat-2-1
nat
/
lep-02
nat
/
one-01
nat-basic
/
one
nat-basic
/
l
IOtrace
/
frag-to-inf
product
/
lrstart-def