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Proof step 28 from proof okarray-copy (previous step)

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 ']))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
okreftype(refval(r0), mkarraytype(byte_type), st), r0 -- _length ∈ st, is_integervalue(st[r0 -- _length]), is_arrayref(r0, st[r0 -- _length] .intval, st), r0 ∈ st, 0 ≤ st[r0 -- _length] .intval, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r0 -- _length] .intval ≤ j0 → is_bytevalue(st[r0 -- j0 ']) ⊦ 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_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

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPSEQ : ⊦ oktype(val, byte_type, st) ↔ is_bytevalue(val)], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i])]]