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Theorem remtau-toempty-from
¬ # α < ⌜n⌝ , ∀ m. m < n → ext(α[m]) = None ⊦ ext !(α) = ext !(α.drop(n))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
remtau-toempty-from-inf
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 5
Proof steps: 9
Used lemmas:
remtau-empty-equiv
,
finremtau-def
,
remtau-append
,
Used spec theorems:
stream
/
get-append-ls
Used simplifier rules:
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
stream
/
fin-empty
stream
/
empty
stream
/
empty-append
list-data
/
l
nat-basic
/
f
nat-inf
/
less-fin
stream
/
sel-fin
stream
/
get-append-notls
nat-inf
/
sel-rqui-dotn
nat
/
lels
nat
/
ls-le-simp