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Proof step 19 from proof okarray-putba (previous step)

st[r0 -- _length] = intval(i), st[r0 -- _type] .type = mkarraytype(ty0), ty0 ≤ ty, is_typevalue(st[r0 -- _type]), 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, okreftype(refval(r0), mkarraytype(ty), st) ∧ (0 ≤ j ∧ j < i → r0 -- j ' ∈ st) ∧ (0 ≤ j0 ∧ j0 < i → okval(st[r0 -- j0 '], ty))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 18:
st[r0 -- _type] = typeval(ty1), st[r0 -- _length] = intval(i), ty1 = mkarraytype(ty0), ty0 ≤ ty, is_typevalue(st[r0 -- _type]), 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, okreftype(refval(r0), mkarraytype(ty), st) ∧ (0 ≤ j ∧ j < i → r0 -- j ' ∈ st) ∧ (0 ≤ j0 ∧ j0 < i → okval(st[r0 -- j0 '], ty))

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r0 -- _type], ty1] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r0 -- _type], ty1)]]