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Proof step 29 from proof okarray-copy (previous step)

okarray(r0, byte_type, st), r0 ∈ st ⊦ r = jvmref, r0 = jvmref, okreftype (refval(r), mkarraytype(byte_type), arraycopy(r0, 0, r, 0, st[r0 -- _length] .intval, addarray(r, byte_type, st[r0 -- _length] .intval, st))) ∧ is_integervalue(st[r0 -- _length]) ∧ is_arrayref(r, st[r0 -- _length] .intval, arraycopy(r0, 0, r, 0, st[r0 -- _length] .intval, addarray(r, byte_type, st[r0 -- _length] .intval, st))) ∧ ( 0 ≤ j ∧ j < st[r0 -- _length] .intval → is_bytevalue(arraycopy(r0, 0, r, 0, st[r0 -- _length] .intval, addarray(r, byte_type, st[r0 -- _length] .intval, st))[r -- j ']))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ okarray(r, ty, st) ↔ okreftype(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) ∧ (∀ j. 0 ≤ j ∧ j < st[r -- _length] .intval → oktype(st[r -- j '], ty, st))
Proof step 28:
okreftype(refval(r0), mkarraytype(byte_type), st) ∧ r0 ≠ jvmref ∧ r0 -- _length ∈ st ∧ is_integervalue(st[r0 -- _length]) ∧ 0 ≤ st[r0 -- _length] .intval ∧ is_arrayref(r0, st[r0 -- _length] .intval, st) ∧ (∀ j. 0 ≤ j ∧ j < st[r0 -- _length] .intval → oktype(st[r0 -- j '], byte_type, st)), r0 ∈ st ⊦ r = jvmref, r0 = jvmref, okreftype (refval(r), mkarraytype(byte_type), arraycopy(r0, 0, r, 0, st[r0 -- _length] .intval, addarray(r, byte_type, st[r0 -- _length] .intval, st))) ∧ is_integervalue(st[r0 -- _length]) ∧ is_arrayref(r, st[r0 -- _length] .intval, arraycopy(r0, 0, r, 0, st[r0 -- _length] .intval, addarray(r, byte_type, st[r0 -- _length] .intval, st))) ∧ ( 0 ≤ j ∧ j < st[r0 -- _length] .intval → is_bytevalue(arraycopy(r0, 0, r, 0, st[r0 -- _length] .intval, addarray(r, byte_type, st[r0 -- _length] .intval, st))[r -- j ']))

Rule argument

[speclemmaarg: , okarray(r, ty, st) ↔ okreftype(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) ∧ (∀ j. 0 ≤ j ∧ j < st[r -- _length] .intval → oktype(st[r -- j '], ty, st)) ,[st, ty, r] → [st, byte_type, r0] ,F ,okfuns , ,okarrayNotNull ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, byte_type, r0)]]