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Proof step 35 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 = [], ∃ n. ¬ # vals ≤ n ∧ vals[n] = refval(r0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 32:
0 ≤ i ⊦ ((* i)) < n→i(n) ↔ i→n(i) < n
Proof step 34:
0 ≤ i, 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. ¬ # vals ≤ n ∧ vals[n] = refval(r0)

Rule argument

[speclemmaarg: 0 ≤ i ,((* i)) < n→i(n) ↔ i→n(i) < n ,[n, i] → [# vals, i] ,F ,intnat , ,num-n2i-ls-02 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (# vals, i)]]