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Proof step 2 from proof addarray-mklist-01 (previous step)

0 ≤ i, 0 ≤ j ⊦ addarray(r, mklist(initial_value(byte_type), i→n(j)), i, addarray(r, mklist(initial_value(byte_type), i→n(i)), 0, st)) = addarray(r, initial_value(byte_type), j + i, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ 0 ≤ i → addarray(r, mklist(val, n), i, addarray(r, mklist(val, i→n(i)), 0, st)) = addarray(r, val, n→i(n) + i, st)

Rule argument

[crewrite-arg: addarray-mklist-04 , F , [st, i, n, val, r] → [st, i, i→n(j), initial_value(byte_type), r] ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i], [CSIMPSEQ : ⊦ 0 ≤ i → n→i(i→n(i)) = i])], [EXTRATERMS : (st, i, i→n(j), initial_value(byte_type), r)]]