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Theorem lls-fold-tail
x ≠ [] ⊦ ((r1 => x.last × r2 * lls(r0, r1, x.butlast) * hP))(h) → ((lls(r0, r2, x) * hP))(h)
Type: A user defined theorem
Validity: The proof is valid.
Features: ss,
Comment:
Used by:
lls-unfold-tail
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 9
Used lemmas:
lls-base
,
lls-rec
,
Used spec theorems:
Used simplifier rules:
heap-sep
/
sep-com
heap-sep
/
sep-ass
maplet
/cell-heap/
ex1-shift
list
/
a
list
/
c
list
/
e-01
list-last
/
last-one
list
/
app
list-last
/
butlast-one
heap-sep
/
emp-sep
heap-sep
/
prop-shift
heap-sep
/
and
heap-sep
/
prop
heap-sep
/
and-ass
heap-sep
/
and-com
list-last
/
bc
list-last
/
l-02
maplet
/cell-heap/
eq-objs