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Theorem fintrace
⊦ trace*(IOAut(start, step, ext))(el) ↔ (∃ sl, al. el = ext !(al) ∧ exec*(IOAut(start, step, ext))(sl, al))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
trace-append
,
Used by units in proved state:
IOtrace-lift
,
IOrefine-conds-imply-IOrefine
,
IOrefine-def
,
IObackward-INV-is-leqstarrefine
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 9
Proof steps: 16
Used lemmas:
fragstar-def
,
frag
,
frag-split
,
finexec
,
exec
,
trace
,
tracestar-def
,
Used spec theorems:
remtau
/
remtau-split-list-weak
Used simplifier rules:
IO-Aut-data
/
sel-IOAut-dotstart
stream
/
append-to-size-01
stream
/
append-from-size-01
stream
/
size-append
stream
/
size-fin
stream
/
append-assoc
nat-inf
/
add-not-less
nat-basic
/
zero
nat-basic
/
oz
nat-inf
/
add-fin
nat-basic
/
a
nat-basic
/
c
stream
/
size-succ
nat-inf
/
add-assoc
nat-inf
/
add-comm
stream
/
get-to
nat-basic
/
succ
nat-inf
/
less-succ-leq
remtau
/
finremtau-def
stream-basic
/
inj-rqui
stream
/
sel-fin