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Proof step 13 from proof subset-len-01 (previous step)

st0[r -- _type] .type = mkarraytype(ty), st[r -- _type] = typeval(mkarraytype(ty)), st[r -- _length] = intval(i), st0[r -- _length] = intval(i0), 0 ≤ i0, r ∈ st0, is_typevalue(st0[r -- _type]), r -- _type ∈ st0, st ⊆ st0, is_arrayref(r, i, st), r -- _length ∈ st, 0 ≤ i, r ∈ st, r -- _type ∈ st, is_arrayref(r, i0, st0), r -- _length ∈ st0 ⊦ r = jvmref, i0 = i

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st0[r -- _type], ty0] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st0[r -- _type], ty0)]]