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Proof step 12 from proof isarray-subset (previous step)

st[r -- _type] .type = mkarraytype(ty), okarray(r, ty, st1), r ∈ st1, r -- _type ∈ st, is_typevalue(st[r -- _type]), okarray(r, ty, st), st ⊆ st1, r ∈ st ⊦ r = jvmref, is_array(r, st1)

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 11:
st[r -- _type] = typeval(ty0), ty0 = mkarraytype(ty), okarray(r, ty, st1), r ∈ st1, r -- _type ∈ st, is_typevalue(st[r -- _type]), okarray(r, ty, st), st ⊆ st1, r ∈ st ⊦ r = jvmref, is_array(r, st1)

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)]]