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Proof step 29 from proof range-copy-upper (previous step)

range=(ar2, n2, ar0, n1, n3), range=(ar2, n3 + n2, ar, n, n0), n0 ≤ m0, n + m0 ≤ # ar, (n3 + n1) + m0 ≤ # ar0, n1 + n0 + n3 ≤ # ar0, n1 ≤ # ar0, n3 + n1 ≤ # ar0 ⊦ n2 + n0 + n3 ≤ # ar2 ∧ n1 + n0 + n3 ≤ # copy(ar, n, ar0, n3 + n1, m0) ∧ (∀ n4. n4 < n0 + n3 → ar2[n2 + n4] = copy(ar, n, ar0, n3 + n1, m0)[n1 + n4])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 30:
range=(ar2, n3 + n2, ar, n, n0), range=(ar2, n2, ar0, n1, n3), n3 + n1 ≤ # ar0, n1 ≤ # ar0, n1 + n0 + n3 ≤ # ar0, (n3 + n1) + m0 ≤ # ar0, n + m0 ≤ # ar, n0 ≤ m0 ⊦ n2 + n0 + n3 ≤ # ar2 ∧ (n4 < n0 + n3 → ar2[n2 + n4] = copy(ar, n, ar0, n3 + n1, m0)[n1 + n4])

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ # copy(ar, m, ar0, m0, n) = # ar0; (s)