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Theorem extension
⊦ x = y ↔ # x = # y ∧ (∀ n. n < # x → x[n] = y[n])
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
streamseq-mon-lim-old
,
streamseq-mon-lim
,
stream-old
,
stream
,
mon-lim-filter-count
,
infinite-append-old
,
infinite-append
,
inf-app-list-old
,
inf-app-list
,
array-as-listinstance
,
rowcol-upd
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 4
Proof steps: 10
Used lemmas:
get-succ
,
get-zero
,
Used spec theorems:
Used simplifier rules:
list-data
/
size-nil
list-data
/
l
list-data
/
elim-list-c
nat-basic
/
lf-01
nat-basic
/
f
list-data
/
inj-add
nat-basic
/
c
nat-basic
/
a
nat-basic
/
oz
nat-basic
/
zero
nat-basic
/
succ
list-data
/
size-add
nat-basic
/
s-04
list-data
/
disj-nil-add
nat-basic
/
eq-01