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Proof step 9 from proof isarray-put-samefield (previous step)

st[r -- _type] .type = mkarraytype(ty0), r ∈ st, okarray(r, ty0, st), is_typevalue(st[r -- _type]), r -- _type ∈ st, oktype(val, ty, st) ⊦ r = jvmref, mkfs(class, ty, fieldvar) ' = _length, mkfs(class, ty, fieldvar) ' = _type, is_array(r, st[r -- mkfs(class, ty, fieldvar) ', val])

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 8:
st[r -- _type] = typeval(ty1), ty1 = mkarraytype(ty0), r ∈ st, okarray(r, ty0, st), is_typevalue(st[r -- _type]), r -- _type ∈ st, oktype(val, ty, st) ⊦ r = jvmref, mkfs(class, ty, fieldvar) ' = _length, mkfs(class, ty, fieldvar) ' = _type, is_array(r, st[r -- mkfs(class, ty, fieldvar) ', val])

Rule argument

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

Additional information

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