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Proof step 16 from proof addarray-mklist-03 (conclusion)

⊦ addarray(r, mklist(val, n), n→i(m), addarray(r, mklist(val, m), 0, st)) = addarray(r, val, n→i(n) + n→i(m), st)

User applied rule structural induction

And obtained the following new goals

Proof step 4:
⊦ addarray(r, mklist(val, 0), n→i(m), addarray(r, mklist(val, m), 0, st)) = addarray(r, val, n→i(0) + n→i(m), st)
Proof step 15:
∀ r, val, m, st. addarray(r, mklist(val, m0), n→i(m), addarray(r, mklist(val, m), 0, st)) = addarray(r, val, n→i(m0) + n→i(m), st) ⊦ addarray(r, mklist(val, m0 +1), n→i(m), addarray(r, mklist(val, m), 0, st)) = addarray(r, val, n→i(m0 +1) + n→i(m), st)

Rule argument

[VARWITHVARSEQSARG : n, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : nat generated by 0, +1;])]]