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Proof step 37 from proof okarray-init-04 (previous step)

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

User applied rule case distinction

And obtained the following new goals

Proof step 22:
∀ j. ¬ j < 0 ∧ ¬ n→i(# vals) < j → is_bytevalue(addarray(r, byte_type, vals + byteval(by) ', st)[r -- j ']) ⊦ ∀ j. 0 ≤ j ∧ j < n→i(# vals) → is_bytevalue(vals[i→n(j)]), r = jvmref
Proof step 36:
∀ j. 0 ≤ j ∧ j < n→i(# vals) → is_bytevalue(vals[i→n(j)]) ⊦ ∀ j. ¬ j < 0 ∧ ¬ n→i(# vals) < j → is_bytevalue(addarray(r, byte_type, vals + byteval(by) ', st)[r -- j ']), r = jvmref

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]