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Proof step 27 from proof okbytearray-put-byteval-equiv (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 26:
st[r -- _length] = intval(i0), st[r -- _type] = typeval(mkarraytype(byte_type)), r -- _type ∈ st, r -- _length ∈ st, is_arrayref(r, i0, st[r -- i ', byteval(by)]), r ∈ st, 0 ≤ i0, i < 0 ∨ i0 ≤ i ∨ 0 ≤ i ∧ i < i0 ∧ r -- i ' ∈ st ∧ is_bytevalue(st[r -- i ']), ∀ j. ¬ j < 0 ∧ ¬ i0 ≤ j → is_bytevalue(st[r -- i ', byteval(by)][r -- j ']) ⊦ r = jvmref, is_arrayref(r, i0, 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 : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]