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Proof step 13 from proof range-copy-drop (previous step)

ar2[n2 + n3] = (n1 + n3 < n0 ∨ n0 + m0 ≤ n1 + n3 ⊃ ar0[n1 + n3];ar[(n1 + n3) + n - n0]), n3 < m1, n1 + n3 < # ar0, n2 + m1 ≤ # ar2, n + m0 ≤ # ar, n0 + m0 ≤ # ar0, n1 + m1 ≤ # ar0, ∀ n3. n3 < m1 → ar2[n2 + n3] = copy(ar, n, ar0, n0, m0)[n1 + n3], n0 + m0 ≤ n1 ∨ n1 + m1 ≤ n0 ⊦ (n1 + n3 < n0 ∨ n0 + m0 ≤ n1 + n3 ⊃ ar0[n1 + n3];ar[(n1 + n3) + n - n0]) = ar0[n1 + n3]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 14:
ar2[n2 + n3] = (n1 + n3 < n0 ∨ n0 + m0 ≤ n1 + n3 ⊃ ar0[n1 + n3];ar[(n1 + n3) + n - n0]), n3 < m1, n1 + n3 < # ar0, n2 + m1 ≤ # ar2, n + m0 ≤ # ar, n0 + m0 ≤ # ar0, n1 + m1 ≤ # ar0, ∀ n3. n3 < m1 → ar2[n2 + n3] = copy(ar, n, ar0, n0, m0)[n1 + n3], n0 + m0 ≤ n1 ∨ n1 + m1 ≤ n0 ⊦ ar2[n2 + n3] = ar0[n1 + n3]

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic