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Proof step 8 from proof okarray-copy-01 (previous step)

st[r0 -- _type] = typeval(ty), ty = mkarraytype(byte_type), st[r0 -- _length] = intval(i2), 0 ≤ i2, r0 ∈ st, is_typevalue(st[r0 -- _type]), r0 -- _type ∈ st, 0 ≤ i1, i + i1 < i2, r ∈ st, 0 ≤ i, okarray(r, byte_type, st), is_arrayref(r0, i2, st), r0 -- _length ∈ st, ∀ j. ¬ j < 0 ∧ ¬ i2 ≤ j → is_bytevalue(st[r0 -- j ']), ∀ i0, i, r0, st, r, j0. i→n(j0) < i→n(i1 + 1) → ( okarray(r, byte_type, st) ∧ okarray(r0, byte_type, st) ∧ i + j0 ≤ st[r0 -- _length] .intval ∧ r ∈ st ∧ r0 ∈ st ∧ 0 ≤ i ∧ 0 ≤ j0 → r = jvmref ∨ r0 = jvmref ∨ okarray(r, byte_type, arraycopy(r0, i, r, i0, j0, st))) ⊦ r0 = jvmref, r = jvmref, is_bytevalue(st[r0 -- (i + i1) ']), okarray(r, byte_type, arraycopy(r0, i, r, i0, i1, st[r -- (i0 + i1) ', st[r0 -- (i + i1) ']])), okarray(r, byte_type, st[r -- (i0 + i1) ', st[r0 -- (i + i1) ']]) ∧ okarray(r0, byte_type, st[r -- (i0 + i1) ', st[r0 -- (i + i1) ']])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
st[r0 -- _length] = intval(i2), st[r0 -- _type] = typeval(mkarraytype(byte_type)), r0 -- _length ∈ st, is_arrayref(r0, i2, st), okarray(r, byte_type, st), 0 ≤ i, r ∈ st, i + i1 < i2, 0 ≤ i1, r0 -- _type ∈ st, r0 ∈ st, 0 ≤ i2, ∀ j. ¬ j < 0 ∧ ¬ i2 ≤ j → is_bytevalue(st[r0 -- j ']), ∀ i0, i, r0, st, r, j0. i→n(j0) < i→n(i1 + 1) → ( okarray(r, byte_type, st) ∧ okarray(r0, byte_type, st) ∧ i + j0 ≤ st[r0 -- _length] .intval ∧ r ∈ st ∧ r0 ∈ st ∧ 0 ≤ i ∧ 0 ≤ j0 → r = jvmref ∨ r0 = jvmref ∨ okarray(r, byte_type, arraycopy(r0, i, r, i0, j0, st))) ⊦ r = jvmref, r0 = jvmref, okarray(r, byte_type, arraycopy(r0, i, r, i0, i1, st[r -- (i0 + i1) ', st[r0 -- (i + i1) ']])), is_bytevalue(st[r0 -- (i + i1) ']), okarray(r, byte_type, st[r -- (i0 + i1) ', st[r0 -- (i + i1) ']]) ∧ okarray(r0, byte_type, st[r -- (i0 + i1) ', st[r0 -- (i + i1) ']])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_typevalue(typeval(ty))])]]