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Proof step 23 from proof isarray-addarray-01 (previous step)

st[r1 -- _type] .type = mkarraytype(ty0), r1 ∈ st, r1 -- _type ∈ st, is_typevalue(st[r1 -- _type]), okarray(r1, ty0, addarray(r0, ty, vals, st)) ⊦ r1 = r0, r1 = jvmref, is_array(r1, st)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 22:
st[r1 -- _type] = typeval(ty1), ty1 = mkarraytype(ty0), r1 ∈ st, r1 -- _type ∈ st, is_typevalue(st[r1 -- _type]), okarray(r1, ty0, addarray(r0, ty, vals, st)) ⊦ r1 = r0, r1 = jvmref, is_array(r1, st)

Rule argument

[speclemmaarg: ,is_typevalue(val) → (ty = val .type ↔ val = typeval(ty)) ,[val, ty] → [st[r1 -- _type], ty1] ,T ,javavalue , ,elim-10 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPELIM : ⊦ is_typevalue(val) → ( ty = val .type ↔ val = typeval(ty))])], [EXTRATERMS : (st[r1 -- _type], ty1)]]