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Proof step 37 from proof junkref-addarray-01 (previous step)

vals[i→n(i)] = refval(r0), i < n→i(# vals), class∃(str, class), newref(r, st), is_array(str, r, addarray(r, mkclasstype(class), vals, st)), 0 ≤ i, junkrefs(str, r0 ' + refs, mkclasstype(class), addarray(r, mkclasstype(class), vals, st)) ⊦ r = jvmref, vals = [], refval(r0) ∈ vals

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 31:
⊦ val ∈ vals ↔ (∃ n. n < # vals ∧ vals[n] = val)
Proof step 36:
vals[i→n(i)] = refval(r0), i < n→i(# vals), class∃(str, class), newref(r, st), is_array(str, r, addarray(r, mkclasstype(class), vals, st)), 0 ≤ i, junkrefs(str, r0 ' + refs, mkclasstype(class), addarray(r, mkclasstype(class), vals, st)) ⊦ r = jvmref, vals = [], ∃ n. n < # vals ∧ vals[n] = refval(r0)

Rule argument

[speclemmaarg: ,val ∈ vals ↔ (∃ n. n < # vals ∧ vals[n] = val) ,[vals, val] → [vals, refval(r0)] ,F ,list-del ,javavalues ,in-get ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (vals, refval(r0))]]