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Proof step 9 from proof okarray-init-07 (previous step)

n < # vals, newref(r, st), is_bytevalue(addarray(r, byte_type, vals, st)[r -- n→i(n) ']) ⊦ r = jvmref, vals = [], is_bytevalue(vals[n])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ 0 ≤ i ∧ i < n→i(# vals) → (addarray(r, ty, vals, st)[r -- i ']) = vals[i→n(i)]

Rule argument

[crewrite-arg: add-at-ok , F , [i, st, vals, ty, r] → [n→i(n), st, vals, byte_type, r] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i→n(n→i(n)) = n], [CSIMPSEQ : ⊦ 0 ≤ n→i(n)], [CSIMPSEQ : ⊦ n→i(m) < n→i(n) ↔ m < n], [CSIMPSEQ : ⊦ ¬ m < n ↔ n ≤ m], [CSIMPSEQ : ⊦ m < n → (n ≤ m ↔ false)])], [EXTRATERMS : (n→i(n), st, vals, byte_type, r)]]