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Proof step 9 from proof exactarray-put-06 (previous step)

st[r -- _type] .type = mkarraytype(byte_type), st[r -- _length] = intval(i0), 0 ≤ i0, r ∈ st, is_typevalue(st[r -- _type]), r -- _type ∈ st, is_bytevalue(val), is_arrayref(r, i0, st), r -- _length ∈ st ⊦ r = jvmref, exactreftype(refval(r), mkarraytype(byte_type), st[r -- i ', val])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 8:
st[r -- _type] = typeval(ty), ty = mkarraytype(byte_type), st[r -- _length] = intval(i0), 0 ≤ i0, r ∈ st, is_typevalue(st[r -- _type]), r -- _type ∈ st, is_bytevalue(val), is_arrayref(r, i0, st), r -- _length ∈ st ⊦ r = jvmref, exactreftype(refval(r), mkarraytype(byte_type), st[r -- i ', val])

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)]]