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Proof step 17 from proof okarray-copy-01 (previous step)

is_bytevalue(st[r0 -- (i + i1) ']), okarray(r0, byte_type, st), okarray(r, byte_type, st), 0 ≤ i, r0 ∈ st, r ∈ st, i + i1 < st[r0 -- _length] .intval, 0 ≤ i1, ∀ 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, okarray(r, byte_type, arraycopy(r0, i, r, i0, i1, st[r -- (i0 + i1) ', st[r0 -- (i + i1) ']])), okarray(r0, byte_type, st[r -- (i0 + i1) ', st[r0 -- (i + i1) ']])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ r ≠ r0 → (okarray(r, byte_type, st[r0 -- sk, val]) ↔ okarray(r, byte_type, st))
Proof step 16:
⊦ is_bytevalue(val) ∧ okarray(r, byte_type, st) → okarray(r, byte_type, st[r -- i ', val])

Rule argument

[crewrite-arg: okarray-put-05 , F , [val, sk, r0, st, r] → [st[r0 -- (i + i1) '], (i0 + i1) ', r, st, r0] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st[r0 -- (i + i1) '], (i0 + i1) ', r, st, r0)]]