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Proof step 1 from proof copy-rec (conclusion)

⊦ copy(ar, m, ar0, m0, n + 1) = copy(ar, m + 1, ar0, m0 + 1, n)[m0, ar[m]]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ copy(ar, m, ar0, m0, n)[m0 + n, ar[m + n]] = copy(ar, m + 1, ar0, m0 + 1, n)[m0, ar[m]]

Rule argument

Additional information

Used simplifier rules: Copy-succ: ⊦ copy(ar, m, ar0, m0, n + 1) = copy(ar, m, ar0, m0, n)[m0 + n, ar[m + n]];%c: ⊦ m + n = n + m; from specification nat-basic2%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic2