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Theorem inffrag-pis-lim-init
fragω(Π(IOAut(lstart, lstep, lext), IOAut(rstart, rstep, rext), lren, rren))(psf, paf) ⊦ lim(⌜λ n. ⌜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:
Comment:
Used by:
proj-exec-inf
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 6
Proof steps: 11
Used lemmas:
projstate-base
,
mon-pis
,
Used spec theorems:
streamseq-mon-lim
/
lim-def
stream
/
prefix-def
Used simplifier rules:
product
/
product-def
stream
/
sel-inf
nat-inf
/
less-inf2
stream
/
size-inf
stream
/
fun-nonempty
stream
/
to-zero-nf
stream
/
to-inf-one
nat-basic
/
c
nat-basic
/
a
stream
/
append-assoc
stream
/
size-fin
stream
/
size-append
stream
/
get-cons-zero