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Proof step 26 from proof okbar-putbar (previous step)

okreftype(refval(r), mkarraytype(byte_type), st) ∧ r ≠ jvmref ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ 0 ≤ st[r -- _length] .intval ∧ is_arrayref(r, st[r -- _length] .intval, st) ∧ (∀ j. 0 ≤ j ∧ j < st[r -- _length] .intval → oktype(st[r -- j '], byte_type, st)), r ∈ st ⊦ r = r1, r = jvmref, okreftype(refval(r), mkarraytype(byte_type), putByteArray(bytes, r1, i, st)) ∧ r -- _length ∈ st ∧ is_integervalue(st[r -- _length]) ∧ is_arrayref(r, st[r -- _length] .intval, putByteArray(bytes, r1, i, st)) ∧ (0 ≤ j ∧ j < st[r -- _length] .intval → is_bytevalue(st[r -- j ']))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
⊦ okreftype(val, ty, st) ↔ is_referencevalue(val) ∧ (val .refval ≠ jvmref → val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type ≤ ty)
Proof step 7:
⊦ oktype(val, byte_type, st) ↔ is_bytevalue(val)
Proof step 25:
st[r -- _type] .type = mkarraytype(byte_type), r -- _length ∈ st, is_integervalue(st[r -- _length]), is_arrayref(r, st[r -- _length] .intval, st), r -- _type ∈ st, is_typevalue(st[r -- _type]), 0 ≤ st[r -- _length] .intval, r ∈ st, ∀ j0. ¬ j0 < 0 ∧ ¬ st[r -- _length] .intval ≤ j0 → is_bytevalue(st[r -- j0 ']) ⊦ r = r1, r = jvmref, okreftype(refval(r), mkarraytype(byte_type), putByteArray(bytes, r1, i, st)) ∧ is_arrayref(r, st[r -- _length] .intval, putByteArray(bytes, r1, i, st)) ∧ (0 ≤ j ∧ j < st[r -- _length] .intval → is_bytevalue(st[r -- j ']))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPSEQ : ⊦ ¬ i < j ↔ j ≤ i], [CSIMPSEQ : ⊦ ¬ i ≤ j ↔ j < i], [CSIMPSEQ : ⊦ ty ≤ mkarraytype(byte_type) ↔ ty = mkarraytype(byte_type)], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]