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Proof step 12 from proof get-get (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ n < # vals → (vals + val ')[n] = vals[n]
Proof step 8:
¬ n < # getarray(r, i, i0, st), 0 < i0, n→i(n) ≤ i0, ∀ j0, n, r, i, st. i→n(j0) < i→n(i0 + 1) → (n→i(n) < j0 → (getarray(r, i, j0, st)[n]) = st[r -- (i + n→i(n)) ']) ⊦ (getarray(r, i, i0, st) + st[r -- (i + i0) '] ')[n] = st[r -- (i + n→i(n)) '], n = i→n(i0)
Proof step 11:
n < # getarray(r, i, i0, st), 0 < i0, n→i(n) ≤ i0, ∀ j0, n, r, i, st. i→n(j0) < i→n(i0 + 1) → (n→i(n) < j0 → (getarray(r, i, j0, st)[n]) = st[r -- (i + n→i(n)) ']) ⊦ (getarray(r, i, i0, st)[n]) = st[r -- (i + n→i(n)) '], n = i→n(i0)

Rule argument

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

Additional information

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