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Theorem reachable-nodups-def
⊦ reachable(r, r0, H) ↔ (∃ x. path(r ' + x, H) ∧ (r ' + x).last = r0 ∧ ¬ dups(r ' + x))
Type: A user defined theorem
Validity: The proof is valid.
Features:
Comment:
Used by:
acyclic-rem-not-reachable
,
reachable-addnew-rev
,
rem-stays-reachable-aux
,
rem-stays-reachable-aux1
,
rem-stays-reachable-aux2
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 8
Proof steps: 21
Used lemmas:
path-postfix
,
path-cons
,
path-one
,
reachable-def
,
Used spec theorems:
list
/reflist/
lastoc-rew
Used simplifier rules:
list
/reflist/
app
list-last
/reflist/
l
list
/reflist/
in-empty
list-dup
/reflist/
e-01
list
/reflist/
c
list-dup
/reflist/
rec
list
/reflist/
in-rec
list-last
/reflist/
l-05
list-last
/reflist/
l-in
list-dup
/reflist/
a
list
/reflist/
in-01
list
/reflist/
in-append
list-dup
/reflist/
f-01
list-last
/reflist/
lapp-01
list
/reflist/
a