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Proof step 12 from proof range-copy-inner (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
n2 + n0 + n3 + m0 ≤ # ar2, n + m0 ≤ # ar, (n3 + n1) + m0 ≤ # ar0, n1 + n0 + n3 + m0 ≤ # ar0, ∀ n4. n4 < n0 + n3 + m0 → ar2[n2 + n4] = copy(ar, n, ar0, n3 + n1, m0)[n1 + n4] ⊦ range=(ar2, n2, ar0, n1, n3) ∧ range=(ar2, n3 + n2, ar, n, m0) ∧ range=(ar2, n3 + n2 + m0, ar0, (n3 + n1) + m0, n0)

Rule argument

Additional information

Used simplifier rules: ⊦ # copy(ar, m, ar0, m0, n) = # ar0; (s)