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Proof step 16 from proof okarray-byte-01 (previous step)

st[r0 -- _type] = typeval(ty), ty = mkarraytype(byte_type), st[r -- (i0 + i) '] = byteval(st[r0 -- (j0 + i) '] .byteval), st[r0 -- _length] = intval(i1), 0 ≤ i1, r0 ∈ st, is_typevalue(st[r0 -- _type]), r0 -- _type ∈ st, i < j, i0 + j < st[r -- _length] .intval, j0 + j < i1, r ∈ st, 0 ≤ i0 + i, 0 ≤ j0 + i, okarray(r, byte_type, st), is_arrayref(r0, i1, st), r0 -- _length ∈ st, ∀ j1. ¬ j1 < 0 ∧ ¬ i1 ≤ j1 → is_bytevalue(st[r0 -- j1 ']) ⊦ r0 = jvmref, byteval(st[r0 -- (j0 + i) '] .byteval) = st[r0 -- (j0 + i) '], r = jvmref, is_bytevalue(st[r0 -- (j0 + i) '])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
st[r0 -- _length] = intval(i1), st[r -- (i0 + i) '] = byteval(st[r0 -- (j0 + i) '] .byteval), st[r0 -- _type] = typeval(mkarraytype(byte_type)), r0 -- _length ∈ st, is_arrayref(r0, i1, st), okarray(r, byte_type, st), 0 ≤ j0 + i, 0 ≤ i0 + i, r ∈ st, j0 + j < i1, i0 + j < st[r -- _length] .intval, i < j, r0 -- _type ∈ st, r0 ∈ st, 0 ≤ i1, ∀ j1. ¬ j1 < 0 ∧ ¬ i1 ≤ j1 → is_bytevalue(st[r0 -- j1 ']) ⊦ r = jvmref, byteval(st[r0 -- (j0 + i) '] .byteval) = st[r0 -- (j0 + i) '], r0 = jvmref, is_bytevalue(st[r0 -- (j0 + i) '])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_typevalue(typeval(ty))], [CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ i + j + i0 = (i + j) + i0])]]