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Theorem proj-prefix
⊦ rext !(πra(lstep, rstep, lren, rren, ⌜psf⌝ , ⌜paf⌝ )) = β ∧ fragω(IOAut(Π(lstart, rstart), Π(lstep, rstep, lren, rren, lext, rext), Π(lext, rext, lren, rren)))(psf, paf) → ⌜rext !(πra(lstep, rstep, lren, rren, psf.take(n + 1), paf.take(n)))⌝ ⊑ β
Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by:
Used by units in proved state:
product-refine
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 6
Proof steps: 8
Used lemmas:
mon-pia
,
projaction-inf-def
,
Used spec theorems:
streamseq-mon-lim
/
lim-def
stream
/
prefix-def
Used simplifier rules:
stream
/
prefix-bothfin-listprefix
stream
/
sel-inf
nat-inf
/
less-inf2
stream
/
size-inf
stream
/
fun-nonempty
product
/
product-def
remtau
/
remtau-append
stream
/
leq-append-right
stream
/
append-assoc