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Proof step 16 from proof okarray-05 (previous step)

⊦ r = jvmref, okreftype(refval(r), mkarraytype(byte_type), addarray(r, byte_type, mkjavavalues(bytes), st)) ∧ r ≠ jvmref ∧ r -- _length ∈ addarray(r, byte_type, mkjavavalues(bytes), st) ∧ is_integervalue(addarray(r, byte_type, mkjavavalues(bytes), st)[r -- _length]) ∧ 0 ≤ (addarray(r, byte_type, mkjavavalues(bytes), st)[r -- _length]) .intval ∧ is_arrayref(r, (addarray(r, byte_type, mkjavavalues(bytes), st)[r -- _length]) .intval, addarray(r, byte_type, mkjavavalues(bytes), st)) ∧ (∀ j. 0 ≤ j ∧ j < (addarray(r, byte_type, mkjavavalues(bytes), st)[r -- _length]) .intval → oktype(addarray(r, byte_type, mkjavavalues(bytes), st)[r -- j '], byte_type, addarray(r, byte_type, mkjavavalues(bytes), st)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ okreftype(refval(r), mkarraytype(ty), addarray(r, ty, vals, st))
Proof step 3:
⊦ r -- _length ∈ addarray(r, ty, vals, st)
Proof step 4:
⊦ (addarray(r, ty, vals, st)[r -- _length]) = intval(n→i(# vals))
Proof step 15:
⊦ r = jvmref, is_arrayref(r, n→i(# bytes), addarray(r, byte_type, mkjavavalues(bytes), st)) ∧ (0 ≤ j ∧ j < n→i(# bytes) → is_bytevalue(addarray(r, byte_type, mkjavavalues(bytes), st)[r -- j ']))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ oktype(val, byte_type, st) ↔ is_bytevalue(val)], [CSIMPSEQ : ⊦ 0 ≤ n→i(n)], [CSIMPSEQ : ⊦ intval(i) .intval = i], [CSIMPSEQ : ⊦ is_integervalue(intval(i))], [CSIMPSEQ : ⊦ # mkjavavalues(bytes) = # bytes])]]