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Theorem toList-ordered-tree-ordered
⊦ ordered≤(t.toList) → ordered≤(t)
Type: A user defined theorem
Validity: The proof is valid.
Features: ss, lss,
Comment:
Used by:
Used by units in proved state:
DLL2BST
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 13
Proof steps: 22
Used lemmas:
elem-le-tree-unfold
,
in-tree-in-toList
,
tree-le-elem-unfold
,
ordered-rec
,
toList-rec
,
ordered-base
,
toList-base
,
Used spec theorems:
olist
/
orderedle-all
list-del
/
in-get
Used simplifier rules:
olist
/
le-e
olist
/
app
olist
/
app-01
list
/
a
list
/
c
nat-basic
/
c
nat-basic
/
a
nat-basic
/
s-04
nat-basic
/
succ
list
/
len-05
list
/
len
list-data
/
l
nat-basic
/
f
nat
/
lels-03
nat-basic
/
l-02
list-del
/
get-app
list-del
/
get-append-less
nat
/
lep
nat-basic
/
l
list-del
/
get-append-grt-02
list-del
/
get-succ