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Proof step 11 from proof okbar-norefval (previous step)

st[r -- _type] .type = mkarraytype(byte_type), st[r -- i '] = refval(r1), st[r -- _length] = intval(i0), 0 ≤ i0, 0 < i0, r ∈ st, is_typevalue(st[r -- _type]), r -- _type ∈ st, i < i0, 0 ≤ i, is_arrayref(r, i0, st), r -- _length ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → is_bytevalue(st[r -- j ']) ⊦ r = jvmref

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 10:
st[r -- _type] = typeval(ty), ty = mkarraytype(byte_type), st[r -- i '] = refval(r1), st[r -- _length] = intval(i0), 0 ≤ i0, 0 < i0, r ∈ st, is_typevalue(st[r -- _type]), r -- _type ∈ st, i < i0, 0 ≤ i, is_arrayref(r, i0, st), r -- _length ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → is_bytevalue(st[r -- j ']) ⊦ r = jvmref

Rule argument

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

Additional information

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