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Proof step 15 from proof okarray-putba (previous step)

st[r0 -- _type] = typeval(mkarraytype(ty0)), st[r0 -- _length] = intval(i), ty0 ≤ ty, r0 -- _type ∈ st, r0 ∈ st, 0 ≤ i, r0 -- _length ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r0 -- j '], ty), ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → r0 -- j ' ∈ st ⊦ r = r0, r0 = jvmref, (0 ≤ j ∧ j < i → r0 -- j ' ∈ st) ∧ (0 ≤ j0 ∧ j0 < i → okval(st[r0 -- j0 '], ty))

User applied rule case distinction

And obtained the following new goals

Proof step 12:
st[r0 -- _type] = typeval(mkarraytype(ty0)), st[r0 -- _length] = intval(i), ty0 ≤ ty, r0 -- _type ∈ st, r0 ∈ st, 0 ≤ i, r0 -- _length ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r0 -- j '], ty), ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → r0 -- j ' ∈ st ⊦ 0 ≤ j ∧ j < i → r0 -- j ' ∈ st, r = r0, r0 = jvmref
Proof step 14:
st[r0 -- _type] = typeval(mkarraytype(ty0)), st[r0 -- _length] = intval(i), ty0 ≤ ty, r0 -- _type ∈ st, r0 ∈ st, 0 ≤ i, r0 -- _length ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r0 -- j '], ty), ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → r0 -- j ' ∈ st ⊦ 0 ≤ j0 ∧ j0 < i → okval(st[r0 -- j0 '], ty), r = r0, r0 = jvmref

Rule argument

[CASEDARG : pos: right 3, ()]

Additional information

[[CONCRETESIMPRULES : ()]]