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Proof step 19 from proof addbar-okarray-01 (previous step)

⊦ r = jvmref, okreftype(refval(r), mkarraytype(byte_type), addarray(r, byte_type, mkjavavalues(is2bs(ints)), st)) ∧ refval(r) .refval ≠ jvmref ∧ (refval(r) .refval -- _length) × intval(n→i(# ints)) ∈ addarray(r, byte_type, mkjavavalues(is2bs(ints)), st) ∧ 0 ≤ n→i(# ints) ∧ is_arrayref(refval(r) .refval, n→i(# ints), addarray(r, byte_type, mkjavavalues(is2bs(ints)), st)) ∧ (∀ j. 0 ≤ j ∧ j < n→i(# ints) → oktype (addarray(r, byte_type, mkjavavalues(is2bs(ints)), st)[refval(r) .refval -- j '], byte_type, addarray(r, byte_type, mkjavavalues(is2bs(ints)), st)))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ okreftype(refval(r), mkarraytype(ty), addarray(r, ty, vals, st))
Proof step 4:
⊦ r -- _length ∈ addarray(r, ty, vals, st)
Proof step 5:
⊦ (addarray(r, ty, vals, st)[r -- _length]) = intval(n→i(# vals))
Proof step 18:
⊦ r = jvmref, is_arrayref(r, n→i(# ints), addarray(r, byte_type, mkjavavalues(is2bs(ints)), st)) ∧ (0 ≤ j ∧ j < n→i(# ints) → is_bytevalue(addarray(r, byte_type, mkjavavalues(is2bs(ints)), 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(i0) ↔ i = i0], [CSIMPSEQ : ⊦ # is2bs(ints) = # ints], [CSIMPSEQ : ⊦ # mkjavavalues(bytes) = # bytes], [CSIMPSEQ : ⊦ rk × val ∈ st ↔ ¬ ¬ (rk ∈ st ∧ st[rk] = val)], [CSIMPSEQ : ⊦ refval(r) .refval = r])]]