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Proof step 16 from proof exactarray-putar (previous step)

st[r1 -- _length] = intval(j), st[r1 -- _type] .type = mkarraytype(byte_type), r1 -- _length ∈ st, r1 ∈ st, r1 -- _type ∈ st, is_typevalue(st[r1 -- _type]) ⊦ r1 = jvmref, r = r1, r1 ∈ putArray(vals, r, i, st) ∧ is_arrayref(r1, j, putArray(vals, r, i, st)) ↔ is_arrayref(r1, j, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 15:
st[r1 -- _type] = typeval(ty), st[r1 -- _length] = intval(j), ty = mkarraytype(byte_type), r1 -- _length ∈ st, r1 ∈ st, r1 -- _type ∈ st, is_typevalue(st[r1 -- _type]) ⊦ r1 = jvmref, r = r1, r1 ∈ putArray(vals, r, i, st) ∧ is_arrayref(r1, j, putArray(vals, r, i, st)) ↔ is_arrayref(r1, j, st)

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r1 -- _type], ty] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r1 -- _type], ty)]]