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Proof step 13 from proof at=get-offset (previous step)

0 ≤ i1, 0 ≤ i1 + i0, i1 ≤ i, 0 ≤ i0, 0 ≤ i, 0 ≤ i + i0, 0 < i, ∀ r, st, i1, i0, j0. i→n(j0) < i→n(i + 1) → (0 ≤ i0 ∧ 0 < j0 + i0 ∧ 0 < j0 ∧ i1 < j0 ∧ 0 ≤ i1 + i0 ∧ 0 ≤ i1 → st[r -- (i1 + i0) '] = (getarray(r, i0, j0, st)[i→n(i1)])) ⊦ st[r -- (i1 + i0) '] = (getarray(r, i0, i, st) + st[r -- (i0 + i) '] ')[i→n(i1)]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ n < # vals → (vals + val ')[n] = vals[n]
Proof step 8:
¬ i→n(i1) < # getarray(r, i0, i, st), 0 ≤ i1, 0 ≤ i1 + i0, i1 ≤ i, 0 ≤ i0, 0 ≤ i, 0 ≤ i + i0, 0 < i, ∀ r, st, i1, i0, j0. i→n(j0) < i→n(i + 1) → (0 ≤ i0 ∧ 0 < j0 + i0 ∧ 0 < j0 ∧ i1 < j0 ∧ 0 ≤ i1 + i0 ∧ 0 ≤ i1 → st[r -- (i1 + i0) '] = (getarray(r, i0, j0, st)[i→n(i1)])) ⊦ st[r -- (i1 + i0) '] = (getarray(r, i0, i, st) + st[r -- (i0 + i) '] ')[i→n(i1)]
Proof step 12:
i→n(i1) < # getarray(r, i0, i, st), 0 ≤ i1, 0 ≤ i1 + i0, i1 ≤ i, 0 ≤ i0, 0 ≤ i, 0 ≤ i + i0, 0 < i, ∀ r, st, i1, i0, j0. i→n(j0) < i→n(i + 1) → (0 ≤ i0 ∧ 0 < j0 + i0 ∧ 0 < j0 ∧ i1 < j0 ∧ 0 ≤ i1 + i0 ∧ 0 ≤ i1 → st[r -- (i1 + i0) '] = (getarray(r, i0, j0, st)[i→n(i1)])) ⊦ st[r -- (i1 + i0) '] = (getarray(r, i0, i, st)[i→n(i1)])

Rule argument

[speclemmaarg: ,n < # vals → (vals + val ')[n] = vals[n] ,[n, val, vals] → [i→n(i1), st[r -- (i0 + i) '], getarray(r, i0, i, st)] ,F ,list-del ,javavalues ,get-butlast ]

Additional information

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