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Proof step 17 from proof okarray-putarray-addarray-put (previous step)

j0 < n→i(# vals) + i, 0 < j, 0 ≤ j0, j ≤ n→i(# vals) + i, i ≤ n→i(# vals0), 0 ≤ i, 0 ≤ j, 0 ≤ n→i(# vals) + i, j0 < j, 0 < n→i(# vals) + i, j0 < i, 0 < i, j0 < n→i(# vals0), ∀ val. val ∈ vals ∨ val ∈ vals0 → is_bytevalue(val) ⊦ r = jvmref, vals0 = [], is_bytevalue(vals0[i→n(j0)]), vals0[i→n(j0)] ∈ vals, vals0[i→n(j0)] ∈ vals0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ val ∈ vals ↔ (∃ n. n < # vals ∧ vals[n] = val)
Proof step 16:
j0 < n→i(# vals) + i, 0 < j, 0 ≤ j0, j ≤ n→i(# vals) + i, i ≤ n→i(# vals0), 0 ≤ i, 0 ≤ j, 0 ≤ n→i(# vals) + i, j0 < j, 0 < n→i(# vals) + i, j0 < i, 0 < i, j0 < n→i(# vals0), ∀ val. val ∈ vals ∨ val ∈ vals0 → is_bytevalue(val) ⊦ r = jvmref, vals0 = [], is_bytevalue(vals0[i→n(j0)]), vals0[i→n(j0)] ∈ vals, ∃ n. n < # vals0 ∧ vals0[n] = vals0[i→n(j0)]

Rule argument

[speclemmaarg: ,val ∈ vals ↔ (∃ n. n < # vals ∧ vals[n] = val) ,[vals, val] → [vals0, vals0[i→n(j0)]] ,F ,list-del ,javavalues ,in-get ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (vals0, vals0[i→n(j0)])]]