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Proof step 35 from proof exactarray-copy-01 (previous step)

exactarray(r, byte_type, st), exactarray(r0, byte_type, st), i + j ≤ st[r0 -- _length] .intval, r ∈ st, r0 ∈ st, 0 ≤ i, 0 ≤ j ⊦ r = jvmref, r0 = jvmref, exactreftype(refval(r), mkarraytype(byte_type), arraycopy(r0, i, r, i0, j, st)) ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ is_arrayref(r, st[r -- _length] .intval, arraycopy(r0, i, r, i0, 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 34:
exactarray(r, byte_type, st), exactarray(r0, byte_type, st), i + j ≤ st[r0 -- _length] .intval, r ∈ st, r0 ∈ st, 0 ≤ i, 0 ≤ j ⊦ r = jvmref, r0 = jvmref, is_referencevalue(refval(r)) ∧ refval(r) .refval ∈ arraycopy(r0, i, r, i0, j, st) ∧ ( refval(r) .refval ≠ jvmref → refval(r) .refval -- _type ∈ arraycopy(r0, i, r, i0, j, st) ∧ is_typevalue(arraycopy(r0, i, r, i0, j, st)[refval(r) .refval -- _type]) ∧ (arraycopy(r0, i, r, i0, j, st)[refval(r) .refval -- _type]) .type = mkarraytype(byte_type)) ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ is_arrayref(r, st[r -- _length] .intval, arraycopy(r0, i, r, i0, j, st))

Rule argument

[crewrite-arg: exactreftype , F , [st, ty, val] → [arraycopy(r0, i, r, i0, j, st), mkarraytype(byte_type), refval(r)] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (arraycopy(r0, i, r, i0, j, st), mkarraytype(byte_type), refval(r))]]