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Theorem len-01
⊦ # x = # z → (x + y = z + y0 ↔ x = z ∧ y = y0)
Type: A user defined theorem
Validity: The proof is valid.
Features: ws, lws,
Comment:
Used by:
len-06
,
Used by units in proved state:
list-del
,
olist-min-max
,
olist
,
filter-count
,
assoclist
,
stream
,
string-less
,
path-reachable
,
list-last
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 7
Used lemmas:
c-06
,
in-rec
,
in-append
,
in-14
,
c
,
len-02
,
len
,
a
,
Nil
,
Used spec theorems:
Used simplifier rules:
list-data
/
size-nil
list-data
/
l
nat-basic
/
oz
nat-basic
/
a
nat-basic
/
c
nat-basic
/
eq-01