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Proof step 15 from proof addarray-mklist-03 (previous step)

∀ 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)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
∀ 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(m) + n→i(m0) + 1, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ m + n = n + m], [CSIMPSEQ : ⊦ (m + n0) + n1 = m + n0 + n1], [CSIMPSEQ : ⊦ n→i(m + n) = n→i(m) + n→i(n)], [CSIMPSEQ : ⊦ m +1 = m + 1])]]