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Theorem emptymove-splitfirst
move(IOAut(start, step, ext))(s, [], s2), s ≠ s2 ⊦ ∃ s1, a. ext(a) = None ∧ step(s, a, s1) ∧ move(IOAut(start, step, ext))(s1, [], s2)
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 6
Proof steps: 15
Used lemmas:
finfrag-rec
,
finfrag-onlyone
,
not-finfrag-empty
,
move
,
Used spec theorems:
Used simplifier rules:
IO-Aut-data
/
sel-IOAut-dotext
list
/
c
list
/
a
list-del
/
get-zero
remtau
/
finremtau-empty
list
/
c-08
list
/
c-03
list
/
app
list-last
/
last-one
list
/
e
list
/
app-02
remtau
/
finremtau-one
remtau
/
finremtau-append
list-data
/
elim-list-c
list-last
/
last-rec
stream
/
append-assoc
stream
/
hd-fin-lem
stream
/
append-finfin