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Proof step 38 from proof okarray-putarray-addarray-put (previous step)

j0 < n→i(# vals) + i, 0 < j, 0 ≤ j0, j ≤ n→i(# vals) + i, i ≤ n→i(# vals0), 0 ≤ i, 0 ≤ j, 0 ≤ n→i(# vals) + i, j0 < j, 0 < n→i(# vals) + i, ∀ val. val ∈ vals ∨ val ∈ vals0 → is_bytevalue(val) ⊦ r = jvmref, is_bytevalue(putArray(vals, r, i, addarray(r, byte_type, vals0, st))[r -- j0 '])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ j ≤ i ∧ i < n→i(# vals) + j → (putArray(vals, r, j, st)[r -- i ']) = vals[i→n(i - j)]
Proof step 22:
¬ (i ≤ j0 ∧ j0 < n→i(# vals) + i), j0 < n→i(# vals) + i, 0 < j, 0 ≤ j0, j ≤ n→i(# vals) + i, i ≤ n→i(# vals0), 0 ≤ i, 0 ≤ j, 0 ≤ n→i(# vals) + i, j0 < j, 0 < n→i(# vals) + i, ∀ val. val ∈ vals ∨ val ∈ vals0 → is_bytevalue(val) ⊦ r = jvmref, is_bytevalue(putArray(vals, r, i, addarray(r, byte_type, vals0, st))[r -- j0 '])
Proof step 37:
i ≤ j0 ∧ j0 < n→i(# vals) + i, j0 < n→i(# vals) + i, 0 < j, 0 ≤ j0, j ≤ n→i(# vals) + i, i ≤ n→i(# vals0), 0 ≤ i, 0 ≤ j, 0 ≤ n→i(# vals) + i, j0 < j, 0 < n→i(# vals) + i, ∀ val. val ∈ vals ∨ val ∈ vals0 → is_bytevalue(val) ⊦ r = jvmref, is_bytevalue(vals[i→n(j0 - i)])

Rule argument

[speclemmaarg: , j ≤ i ∧ i < n→i(# vals) + j → (putArray(vals, r, j, st)[r -- i ']) = vals[i→n(i - j)] ,[i, st, j, r, vals] → [j0, addarray(r, byte_type, vals0, st), i, r, vals] ,F ,storearrays , ,putar-at ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (j0, addarray(r, byte_type, vals0, st), i, r, vals)]]