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Proof step 19 from proof isarray-putbar (previous step)

st[r1 -- _length] = intval(i0), st[r1 -- _type] .type = mkarraytype(byte_type), r1 ∈ st, 0 ≤ i0, is_typevalue(st[r1 -- _type]), r1 -- _type ∈ st, is_array(r1, putByteArray(bytes0, r1, i + 1, st)[r1 -- i ', byteval(by)]), is_arrayref(r1, i0, st), is_integervalue(st[r1 -- _length]), r1 -- _length ∈ st, ∀ 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, okarray(r1, byte_type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
st[r1 -- _type] .type = 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, is_typevalue(st[r1 -- _type]), 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, okarray(r1, byte_type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_integervalue(intval(i))], [CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j])]]