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Theorem frag-from-1
⊦ frag(IOAut(start, step, ext))(σ, α) ∧ ¬ # α < ⌜n⌝ → (frag(IOAut(start, step, ext))(σ.drop(n), α.drop(n)) ↔ true)
Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by:
frag-from
,
frag-from-inf
,
Used by units in proved state:
product-refine
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 17
Used lemmas:
frag
,
frag-size
,
Used spec theorems:
stream
/
get-append-notls
Used simplifier rules:
nat-inf
/
lsle-trans
stream
/
elim-fromto
nat-inf
/
add-comm
nat-inf
/
add-assoc
nat-inf
/
add-not-less
stream
/
append-assoc
stream
/
size-fin
stream
/
size-append
nat-inf
/
add-cancel-01
nat-basic
/
succ
nat-inf
/
add-ls-cancel-01
nat-basic
/
c
nat-basic
/
a
nat-inf
/
add-fin
stream
/
get-append-ls
stream
/
sel-fin
nat-inf
/
ls-natinf-to-nat-2-1
nat-basic
/
l-02
nat
/
eq-01
nat-inf
/
sel-rqui-dotn
nat-basic
/
f
nat-basic
/
lf-01
list-data
/
l
nat
/
lep
nat
/
lels
nat-inf
/
ls-natinf-to-nat-3-1