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Proof step 19 from proof isarray-addarray (previous step)

∀ j. ¬ j < 0 ∧ ¬ n→i(# vals) ≤ j → oktype(vals[i→n(j)], ty, st) ⊦ r = jvmref, is_arrayref(r, n→i(# vals), addarray(r, ty, vals, st)) ∧ (0 ≤ j ∧ j < n→i(# vals) → oktype(vals[i→n(j)], ty, addarray(r, ty, vals, st)))

User applied rule case distinction

And obtained the following new goals

Proof step 13:
∀ j. ¬ j < 0 ∧ ¬ n→i(# vals) ≤ j → oktype(vals[i→n(j)], ty, st) ⊦ is_arrayref(r, n→i(# vals), addarray(r, ty, vals, st)), r = jvmref
Proof step 18:
∀ j. ¬ j < 0 ∧ ¬ n→i(# vals) ≤ j → oktype(vals[i→n(j)], ty, st) ⊦ 0 ≤ j ∧ j < n→i(# vals) → oktype(vals[i→n(j)], ty, addarray(r, ty, vals, st)), r = jvmref

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]