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Proof step 13 from proof ac-okarray (previous step)

st[r -- _type] .type = mkarraytype(ty0), st[r -- _length] = intval(i), is_arrayref(r, i, st), 0 ≤ i, is_typevalue(st[r -- _type]), is_arraytype(st[r -- _type] .type), ty0 ≤ ty, j < i, r -- _length ∈ st, r -- _type ∈ st, 0 ≤ j, 0 < i, r ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st[r -- j '], ty, st) ⊦ r = jvmref, oktype(st[r -- j '], ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
st[r -- _length] = intval(i), st[r -- _type] .type = mkarraytype(ty0), r ∈ st, 0 < i, 0 ≤ j, r -- _type ∈ st, r -- _length ∈ st, j < i, ty0 ≤ ty, is_typevalue(st[r -- _type]), 0 ≤ i, is_arrayref(r, i, st), ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → oktype(st[r -- j '], ty, st) ⊦ r = jvmref, oktype(st[r -- j '], ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))])]]