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Proof step 18 from proof exactarray-putar (previous step)

st[r1 -- _length] = intval(j), r1 -- _length ∈ st, r1 ∈ st ⊦ r1 = jvmref, r = r1, r1 ∈ putArray(vals, r, i, st) ∧ r1 -- _type ∈ st ∧ is_typevalue(st[r1 -- _type]) ∧ st[r1 -- _type] .type = mkarraytype(byte_type) ∧ is_arrayref(r1, j, putArray(vals, r, i, st)) ↔ exactreftype(refval(r1), mkarraytype(byte_type), st) ∧ is_arrayref(r1, j, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ exactreftype(val, ty, st) ↔ is_referencevalue(val) ∧ val .refval ∈ st ∧ (val .refval ≠ jvmref → val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type = ty)
Proof step 17:
st[r1 -- _length] = intval(j), r1 -- _length ∈ st, r1 ∈ st ⊦ r1 = jvmref, r = r1, r1 ∈ putArray(vals, r, i, st) ∧ r1 -- _type ∈ st ∧ is_typevalue(st[r1 -- _type]) ∧ st[r1 -- _type] .type = mkarraytype(byte_type) ∧ is_arrayref(r1, j, putArray(vals, r, i, st)) ↔ is_referencevalue(refval(r1)) ∧ refval(r1) .refval ∈ st ∧ ( refval(r1) .refval ≠ jvmref → refval(r1) .refval -- _type ∈ st ∧ is_typevalue(st[refval(r1) .refval -- _type]) ∧ st[refval(r1) .refval -- _type] .type = mkarraytype(byte_type)) ∧ is_arrayref(r1, j, st)

Rule argument

[crewrite-arg: exactreftype , F , [st, ty, val] → [st, mkarraytype(byte_type), refval(r1)] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, mkarraytype(byte_type), refval(r1))]]