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Theorem reachable-split-first
⊦ r ≠ r0 → (reachable(r, r0, H) ↔ r ≠ null ∧ r ∈ H ∧ (∃ r1. H[r].nxt = r1 ∧ r1 ∈ H ∧ r1 ≠ null ∧ reachable(r1, r0, H)))
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: 2
Proof steps: 6
Used lemmas:
path-first-in-H
,
path-cons
,
reachable-def
,
id-reachable
,
startnotinH-notreachable
,
notnull-reachable
,
reach-alloc
,
fromnext-reachable-rev
,
fromnext-reachable
,
Used spec theorems:
Used simplifier rules:
list
/reflist/
app
list-last
/reflist/
l
list-last
/reflist/
l-02
list
/reflist/
c
list
/reflist/
e-01
list
/reflist/
a