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Proof step 13 from proof is_array-norefval (previous step)

st[r -- _type] .type = mkarraytype(ty), i < st[r -- _length] .intval, is_reftype(ty), r ∈ st, 0 < st[r -- _length] .intval, 0 ≤ i, okarray(r, ty, st), is_typevalue(st[r -- _type]), r -- _type ∈ st, type∃(str, ty) ⊦ ty .jtelemtype = void_type, ty .jtelemtype = abstract_type, r = jvmref, is_referencevalue(st[r -- i '])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 12:
st[r -- _type] = typeval(ty0), ty0 = mkarraytype(ty), i < st[r -- _length] .intval, is_reftype(ty), r ∈ st, 0 < st[r -- _length] .intval, 0 ≤ i, okarray(r, ty, st), is_typevalue(st[r -- _type]), r -- _type ∈ st, type∃(str, ty) ⊦ ty .jtelemtype = void_type, ty .jtelemtype = abstract_type, r = jvmref, is_referencevalue(st[r -- i '])

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)]]