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Proof step 17 from proof okarray-putbar-other (previous step)

st[r -- _length] = intval(i0), 0 ≤ i0, r ∈ st, r -- _length ∈ st, r -- _type ∈ st, is_typevalue(st[r -- _type]) ⊦ r = r1, r = jvmref, is_arraytype(st[r -- _type] .type) ∧ st[r -- _type] .type .type ≤ ty ∧ is_arrayref(r, i0, putByteArray(bytes, r1, i, st)) ∧ (∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st[r -- j '], ty)) ↔ st[r -- _type] .type ≤ mkarraytype(ty) ∧ is_arrayref(r, i0, st) ∧ (∀ j. 0 ≤ j ∧ j < i0 → okval(st[r -- j '], ty))

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 16:
st[r -- _type] = typeval(ty0), st[r -- _length] = intval(i0), 0 ≤ i0, r ∈ st, r -- _length ∈ st, r -- _type ∈ st, is_typevalue(st[r -- _type]) ⊦ r = r1, r = jvmref, is_arraytype(ty0) ∧ ty0 .type ≤ ty ∧ is_arrayref(r, i0, putByteArray(bytes, r1, i, st)) ∧ (∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → okval(st[r -- j '], ty)) ↔ ty0 ≤ mkarraytype(ty) ∧ is_arrayref(r, i0, st) ∧ (∀ j. 0 ≤ j ∧ j < i0 → okval(st[r -- j '], ty))

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r -- _type], ty0] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r -- _type], ty0)]]