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Proof step 27 from proof okarray-init-07 (previous step)

newref(r, st) ⊦ is_arrayref(r, n→i(# vals), addarray(r, byte_type, vals, st)) ∧ (∀ j. ¬ j < 0 ∧ ¬ n→i(# vals) ≤ j → is_bytevalue(addarray(r, byte_type, vals, st)[r -- j '])) ↔ is_bytelist(vals), r = jvmref

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ i ≤ n→i(# vals) → is_arrayref(r, i, addarray(r, ty, vals, st))
Proof step 26:
n→i(# vals) ≤ n→i(# vals), newref(r, st) ⊦ true ∧ (∀ j. ¬ j < 0 ∧ ¬ n→i(# vals) ≤ j → is_bytevalue(addarray(r, byte_type, vals, st)[r -- j '])) ↔ is_bytelist(vals), r = jvmref

Rule argument

[crewrite-arg: isarray-init-02 , F , [st, vals, ty, i, r] → [st, vals, byte_type, n→i(# vals), r] ]

Additional information

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