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Proof step 6 from proof isobj-bytearray (previous step)

st[r -- _length] = intval(i), 0 ≤ i, r ∈ st, is_obj(r, st), is_arrayref(r, i, st), r -- _length ∈ st, okreftype(refval(r), mkarraytype(byte_type), st), ∀ j. ¬ j < 0 ∧ ¬ i ≤ j → is_bytevalue(st[r -- j ']) ⊦ r = jvmref, is_arraytype(st[r -- _type] .type)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ okreftype(val, ty, st) ↔ is_referencevalue(val) ∧ (val .refval ≠ jvmref → val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type ≤ ty)
Proof step 5:
⊦ st[r -- _type] .type = mkarraytype(ty) → ¬ is_obj(r, st)

Rule argument

[speclemmaarg: , okreftype(val, ty, st) ↔ is_referencevalue(val) ∧ ( val .refval ≠ jvmref → val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type ≤ ty) ,[st, ty, val] → [st, mkarraytype(byte_type), refval(r)] ,F ,okfuns , ,okreftype ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ ty ≤ mkarraytype(byte_type) ↔ ty = mkarraytype(byte_type)])], [EXTRATERMS : (st, mkarraytype(byte_type), refval(r))]]