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Theorem not-lessto
¬ # α < ⌜n⌝ ⊦ ¬ # ext !(α) < # ⌜ext !(α.take(n))⌝
Type: A user defined theorem
Validity: The proof is valid.
Features: as, las,
Comment:
Used by:
remtau-equiv
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 4
Used lemmas:
remtau-append
,
not-lessto-fin
,
finremtau-def
,
Used spec theorems:
Used simplifier rules:
stream
/
to-fin
nat
/
le-def
stream
/
size-fin
nat-inf
/
less-fin
nat
/
lels
nat
/
ls-le-simp
nat-inf
/
less-inf1
stream
/
size-inf
stream
/
to-inf
stream
/
appinf-selfun
stream
/
size-append
stream
/
append-assoc
nat-inf
/
add-not-less
nat-inf
/
add-assoc
nat-inf
/
add-comm
stream
/
elim-fromto-inf