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Proof step 12 from proof okarray-put-08 (previous step)

st[r0 -- _type] .type = mkarraytype(ty0), st[r0 -- _length] = intval(i), r0 -- _type ∈ st[r -- fs ', val0], is_typevalue(st[r0 -- _type]), is_arraytype(st[r0 -- _type] .type), ty0 ≤ ty, r0 -- _length ∈ st[r -- fs ', val0], is_arrayref(r0, i, st), j < i, r0 -- _length ∈ st, r0 -- _type ∈ st, 0 ≤ i, 0 ≤ j, 0 < i, r0 ∈ st[r -- fs ', val0], r0 ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r0 -- j '], ty) ⊦ fs ' = _length, fs ' = _type, r0 = jvmref, okval(st[r0 -- j '], ty)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
st[r0 -- _length] = intval(i), st[r0 -- _type] .type = mkarraytype(ty0), r0 ∈ st, r0 ∈ st[r -- fs ', val0], 0 < i, 0 ≤ j, 0 ≤ i, r0 -- _type ∈ st, r0 -- _length ∈ st, j < i, is_arrayref(r0, i, st), r0 -- _length ∈ st[r -- fs ', val0], ty0 ≤ ty, is_typevalue(st[r0 -- _type]), r0 -- _type ∈ st[r -- fs ', val0], ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → okval(st[r0 -- j '], ty) ⊦ r0 = jvmref, fs ' = _type, fs ' = _length, okval(st[r0 -- j '], ty)

Rule argument

[emptyarg]

Additional information

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