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Proof step 21 from proof okarray-08 (previous step)

st[r0 -- _type] .type = mkarraytype(int_type), st[r0 -- _length] = intval(i), 0 ≤ i, r0 -- _length ∈ st, is_arrayref(r0, i, st), is_integervalue(val), r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), r0 ∈ st, ∀ j1. ¬ j1 < 0 ∧ ¬ i ≤ j1 → is_integervalue(st[r0 -- j1 ']) ⊦ r0 = jvmref, okreftype(refval(r0), mkarraytype(int_type), st[r0 -- j ', val]) ∧ (0 ≤ j0 ∧ j0 < i → is_integervalue(st[r0 -- j ', val][r0 -- j0 ']))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 20:
st[r0 -- _type] = typeval(ty), ty = mkarraytype(int_type), st[r0 -- _length] = intval(i), 0 ≤ i, r0 -- _length ∈ st, is_arrayref(r0, i, st), is_integervalue(val), r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), r0 ∈ st, ∀ j1. ¬ j1 < 0 ∧ ¬ i ≤ j1 → is_integervalue(st[r0 -- j1 ']) ⊦ r0 = jvmref, okreftype(refval(r0), mkarraytype(int_type), st[r0 -- j ', val]) ∧ (0 ≤ j0 ∧ j0 < i → is_integervalue(st[r0 -- j ', val][r0 -- j0 ']))

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r0 -- _type], ty] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r0 -- _type], ty)]]