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Theorem ll-trav1-next
r1 ≠ null ⊦ ((ll-trav(r0, r1, x) * P))(H) ∧ H[r1] = a × r → ((ll-trav(r0, r, x) * P))(H)
Type: A user defined theorem
Validity: The proof is valid.
Features: ss,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 9
Used lemmas:
lls-unfold-tail
,
lls-rec
,
lls-base
,
ll-trav1-def
,
Used spec theorems:
Used simplifier rules:
list
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app-01
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Last
heap-sep
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false-rev
heap-sep
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false-and
heap-sep
/
and-ass
heap-sep
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and-com
heap-sep
/
false-sep
heap-sep
/
falseH
list-data
/
elim-list-c
list
/
app-08
cell
/
inj
maplet
/cell-heap/
at-eq
list
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a
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e-01
list
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c
maplet
/cell-heap/
ex1-shift
heap-sep
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sep-ass
heap-sep
/
sep-com