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Proof step 33 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, r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ st[r -- _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))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ exactarray(r, ty, st) ↔ exactreftype(refval(r), mkarraytype(ty), st) ∧ r ≠ jvmref ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ 0 ≤ st[r -- _length] .intval ∧ is_arrayref(r, st[r -- _length] .intval, st)
Proof step 32:
exactreftype(refval(r), mkarraytype(byte_type), st) ∧ r ≠ jvmref ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ 0 ≤ st[r -- _length] .intval ∧ is_arrayref(r, st[r -- _length] .intval, st), exactarray(r0, byte_type, st), i + j ≤ st[r0 -- _length] .intval, r ∈ st, r0 ∈ st, 0 ≤ i, 0 ≤ j ⊦ r = jvmref, r0 = jvmref, r -- _type ∈ st ∧ is_typevalue(st[r -- _type]) ∧ st[r -- _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: exactarray-02, F, [st, ty, r] → [st, byte_type, r]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, byte_type, r)]]