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Theorem dlls-last-fold-tail
x ≠ [] ⊦ (lst => mknode(lst0, x.last, nxt) * dlls(hd, lst0, prv, lst, x.butlast) * hP)(h) → (dlls(hd, lst, prv, nxt, x) * hP)(h)
Type: A user defined theorem
Validity: The proof is valid.
Features: ss,
Comment:
Used by:
dlls-unfold-tail
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 8
Used lemmas:
dlls-last-base
,
dlls-last-rec
,
Used spec theorems:
Used simplifier rules:
map-sep
/
sep-com
map-sep
/
sep-ass
refmap-maplet
/
ex1-shift
list
/
a
list
/
c
list
/
e
list
/
app-02
list-last
/
last-one
list
/
app
list-last
/
butlast-one
map-sep
/
true-rev
map-sep
/
true-and
map-sep
/
emp-sep
map-sep
/
prop-shift
map-sep
/
and
map-sep
/
prop
map-sep
/
and-ass
map-sep
/
and-com
list-last
/
bc
list-last
/
l-02
refmap-maplet
/
eq-objs