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Theorem lim-postfix
⊦ mon(⌜σf⌝ ) → lim(⌜σf⌝ ) = lim(⌜λ n. σf(n + m)⌝ )
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: 66
Proof steps: 120
Used lemmas:
mon-lem
,
mon-postfix
,
lim-def
,
Used spec theorems:
stream
/
prefix-def
nat-inf
/
notinf-fin
stream
/
extensionality
stream
/
get-append-ls
Used simplifier rules:
stream
/
sel-inf
nat-inf
/
less-inf2
stream
/
size-inf
stream
/
fun-nonempty
nat-inf
/
less-inf1
stream
/
leq-refl
nat-basic
/
c
nat-basic
/
a
nat-basic
/
add-base
stream
/
appendend-equal
stream
/
append-assoc
nat-inf
/
add-comm
nat-inf
/
add-assoc
stream
/
size-succ
nat-inf
/
add-fin
stream
/
leq-trans
nat-inf
/
less-fin
stream
/
size-fin
stream
/
size-append
stream
/
size-to-02
stream
/
size-to
nat-inf
/
less-succ-leq
nat-inf
/
add-cancel-03
nat-inf
/
sum-zero-fin
nat-inf
/
add-all-inf
nat-inf
/
disj-rqui-infty
nat-inf
/
inf-less
nat-inf
/
ls-le
nat-inf
/
lele-refl
nat
/
lep
nat-inf
/
addeqinf-cancel
stream
/
leq-append-right
nat-inf
/
add-inf2
stream
/
get-append2-fin
nat-inf
/
ls-natinf-to-nat-2-1
nat-inf
/
add-cancel-01
nat-inf
/
add-cancel-02
nat-inf
/
add-cancel-num-02
stream
/
neq-fin-inf-02
stream
/
append-inf
nat-inf
/
add-not-less
stream
/
get-append-notls
nat-inf
/
prime-add-fin
nat-inf
/
sel-rqui-dotn
nat-basic
/
refl-nat
stream
/
get-to
nat-basic
/
s-04
stream
/
sel-fin
nat-basic
/
f
nat
/
le-def
nat
/
lels-03
nat-inf
/
lels-trans
nat-inf
/
add-cancel-num-03
nat-inf
/
add-all-zero