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Theorem inffrag-pis-init
⊦ fragω(Π(IOAut(lstart, lstep, lext), IOAut(rstart, rstep, rext), lren, rren))(psf, paf) → πrs(lstep, rstep, lren, rren, psf.take(n + 1), paf.take(n))[0] = psf(0)._2
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: 18
Proof steps: 36
Used lemmas:
projstate-rec-addboth
,
projstate-rec-addR
,
projstate-rec-skipL
,
projstate-base
,
Used spec theorems:
stream
/
to-succ2-nf
stream
/
intrace-expand
IOtrace
/
frag-rec
stream
/
hd-inf
stream
/
to-succ-nf
product
/
lrstep-def
Used simplifier rules:
product
/
product-def
stream
/
to-zero-nf
stream
/
to-inf-one
nat-basic
/
c
nat-basic
/
a
list-del
/
one-03
nat-basic
/
succ
list
/
c
stream
/
cons-append
list
/
a
stream
/
size-inf-to
list-del
/
get-zero