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Theorem to_of_remtau-remtau_of_to
⊦ ¬ # α < ⌜n⌝ → (∃ m. ¬ # ext !(α) < ⌜m⌝ ∧ ext !(⌜α.take(n)⌝ ) = ⌜ext !(α).take(m)⌝ )
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
remtau-equiv
,
Used by units in proved state:
Proof exists?: Yes
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the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 4
Used lemmas:
remtau-append
,
finremtau-def
,
Used spec theorems:
Used simplifier rules:
stream
/
elim-fromto
stream-basic
/
inj-rqui
stream
/
append-assoc
stream
/
size-fin
stream
/
size-append
nat-inf
/
add-comm
nat-inf
/
add-assoc
nat-inf
/
add-not-less
stream
/
append-to-size-01