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Proof step 13 from proof isarray-putbar (previous step)

st[r1 -- _type] = typeval(mkarraytype(byte_type)), st[r1 -- _length] = intval(i0), 0 ≤ i0, r1 -- _length ∈ st, is_arrayref(r1, i0, st), is_array(r1, putByteArray(bytes0, r1, i + 1, st)[r1 -- i ', byteval(by)]), r1 -- _type ∈ st, r1 ∈ st, ∀ r1, i, st. is_array(r1, putByteArray(bytes0, r1, i, st)) ∧ okbytearray(r1, st) → is_array(r1, st), ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → is_bytevalue(st[r1 -- j ']) ⊦ r1 = jvmref, is_referencevalue(refval(r1)) ∧ ( refval(r1) .refval ≠ jvmref → refval(r1) .refval -- _type ∈ st ∧ is_typevalue(st[refval(r1) .refval -- _type]) ∧ st[refval(r1) .refval -- _type] .type ≤ mkarraytype(byte_type)) ∧ (0 ≤ j ∧ j < i0 → is_bytevalue(st[r1 -- j ']))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
st[r1 -- _length] = intval(i0), st[r1 -- _type] = typeval(mkarraytype(byte_type)), r1 ∈ st, r1 -- _type ∈ st, is_array(r1, putByteArray(bytes0, r1, i + 1, st)[r1 -- i ', byteval(by)]), is_arrayref(r1, i0, st), r1 -- _length ∈ st, 0 ≤ i0, j < i0, 0 ≤ j, 0 < i0, ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → is_bytevalue(st[r1 -- j ']), ∀ r1, i, st. is_array(r1, putByteArray(bytes0, r1, i, st)) ∧ okbytearray(r1, st) → is_array(r1, st) ⊦ r1 = jvmref, is_bytevalue(st[r1 -- j '])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ mkarraytype(ty) = mkarraytype(ty0) ↔ ty = ty0], [CSIMPSEQ : ⊦ typeval(ty) .type = ty], [CSIMPSEQ : ⊦ is_typevalue(typeval(ty))], [CSIMPSEQ : ⊦ ty ≤ mkarraytype(byte_type) ↔ ty = mkarraytype(byte_type)], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]