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Proof step 20 from proof okbar-putbar (previous step)

st[r -- _length] = intval(i0), st[r -- _type] = typeval(mkarraytype(byte_type)), r -- _length ∈ st, is_arrayref(r, i0, st), r -- _type ∈ st, r ∈ st, 0 ≤ i0, ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → is_bytevalue(st[r -- j0 ']) ⊦ r = r1, r = jvmref, is_referencevalue(refval(r)) ∧ ( refval(r) .refval ≠ jvmref → refval(r) .refval -- _type ∈ putByteArray(bytes, r1, i, st) ∧ is_typevalue(putByteArray(bytes, r1, i, st)[refval(r) .refval -- _type]) ∧ (putByteArray(bytes, r1, i, st)[refval(r) .refval -- _type]) .type ≤ mkarraytype(byte_type)) ∧ is_arrayref(r, i0, putByteArray(bytes, r1, i, st)) ∧ (0 ≤ j ∧ j < i0 → is_bytevalue(st[r -- j ']))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
st[r -- _type] = typeval(mkarraytype(byte_type)), st[r -- _length] = intval(i0), 0 ≤ i0, r ∈ st, r -- _type ∈ st, is_arrayref(r, i0, st), r -- _length ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ i0 ≤ j0 → is_bytevalue(st[r -- j0 ']) ⊦ r = jvmref, r = r1, is_arrayref(r, i0, putByteArray(bytes, r1, i, st)) ∧ (0 ≤ j ∧ j < i0 → is_bytevalue(st[r -- j ']))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([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 : ⊦ (putByteArray(bytes, r, i, st) [r0 -- _type ] ) = st[r0 -- _type]], [CSIMPSEQ : ⊦ r ≠ r0 → ( r0 -- sk ∈ putByteArray (bytes, r, j, st) ↔ r0 -- sk ∈ st)], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]