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Theorem reachable-split-last
⊦ r ≠ r0 → (reachable(r, r0, H) ↔ (∃ r1. reachable(r, r1, H) ∧ H[r1].nxt = r0 ∧ r0 ∈ H ∧ r0 ≠ null))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 7
Proof steps: 15
Used lemmas:
reach-reachnext
,
path-split-last
,
path-last-nxt
,
reachable-def
,
reach-alloc
,
reachable-notnullinH
,
Used spec theorems:
list-last
/reflist/
lapp
Used simplifier rules:
list
/reflist/
app
list-last
/reflist/
l
list-last
/reflist/
last-elim
list
/reflist/
e-02
list
/reflist/
a