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Theorem pis-mon
⊦ 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))⌝ ⊑ ⌜πrs(lstep, rstep, lren, rren, psf.take(2 + n), paf.take(n + 1))⌝
Type: A user defined theorem
Validity: The proof is valid.
Features: lss,
Comment:
Used by:
mon-pis
,
projstate-infrec-addR
,
projstate-infrec-addboth
,
projstate-infrec-skipL
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 32
Proof steps: 57
Used lemmas:
projstate-rec-addboth
,
projstate-rec-addR
,
projstate-rec-skipL
,
projstate-rec-addboth-one
,
projstate-rec-addR-one
,
projstate-rec-skipL-one
,
projstate-base
,
Used spec theorems:
product
/
product-def
IOtrace
/
frag-step-zero
product
/
lrstep-def
IOtrace
/
frag
stream
/
to-succ2-nf
stream
/
to-succ3-nf
stream
/
to-succ-nf
Used simplifier rules:
stream
/
to-inf-one
nat-basic
/
c
nat-basic
/
a
stream
/
to-inf-two
stream
/
to-zero-nf
stream
/
sel-inf
stream
/
fun-nonempty
stream
/
append-finfin
list
/
a
stream
/
leq-append-right
stream
/
append-assoc
stream
/
leq-refl
nat-basic
/
succ
nat-inf
/
less-inf2
stream
/
size-inf
nat-inf
/
add-comm
nat-inf
/
add-assoc
nat-inf
/
add-inf2
list
/
c
stream
/
size-inf-to
nat-basic
/
eq-01
stream
/
leq-append-both