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Theorem nonnullrefs-dups-firstoc
⊦ dups(vals .nonnullrefs) ↔ (∃ r, vals0, vals1, vals2. vals = vals0 + (refval(r) + (vals1 + (refval(r) + vals2))) ∧ r ≠ jvmref ∧ ¬ refval(r) ∈ vals0 ∧ ¬ refval(r) ∈ vals1)
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: 12
Proof steps: 31
Used lemmas:
nonnullrefs-one
,
nonnullrefs-append
,
nonnullrefs-in-firstoc
,
nonnullrefs-yes
,
nonnullrefs-no
,
nonnullrefs-empty
,
Used spec theorems:
list
/javavalues/
firsteq
Used simplifier rules:
list
/javavalues/
in-08
list
/javavalues/
in-01
javavalue
/
sel-09
list
/javavalues/
e-01
list
/javavalues/
in-06
list-dup
/references/
f-01
list-data
/javavalues/
elim-list-c
list
/references/
in-06
list
/references/
in-append
list
/javavalues/
c-06
list
/javavalues/
in-17
list
/javavalues/
in-append
list
/javavalues/
in-14
list
/javavalues/
Nil
list
/javavalues/
app-01
list
/javavalues/
in-empty
javavalue
/
inj-03
list
/javavalues/
in-10
javavalue
/
test-19
javavalue
/
elim-13
list
/references/
a
list-dup
/references/
rec
list
/references/
c
list-dup
/references/
e-01
list
/javavalues/
c
list
/javavalues/
app-02-ant
list
/javavalues/
e
list
/javavalues/
a