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Proof step 31 from proof range-copy-lower (previous step)

range=(ar2, n2, ar, n + n3, n1), range=(ar2, n1 + n2, ar0, n0 + n1 + n3, n4), n0 ≤ # ar0, n3 + n0 ≤ # ar0, n0 + n1 + n3 ≤ # ar0, n + n1 + n3 ≤ # ar ⊦ n2 + n4 + n1 ≤ # ar2 ∧ (n3 + n0) + n4 + n1 ≤ # copy(ar, n, ar0, n0, n1 + n3) ∧ (∀ n5. n5 < n4 + n1 → ar2[n2 + n5] = copy(ar, n, ar0, n0, n1 + n3)[(n3 + n0) + n5])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
range=(ar2, n1 + n2, ar0, n0 + n1 + n3, n4), range=(ar2, n2, ar, n + n3, n1), n + n1 + n3 ≤ # ar, n0 + n1 + n3 ≤ # ar0, n3 + n0 ≤ # ar0, n0 ≤ # ar0 ⊦ n2 + n4 + n1 ≤ # ar2 ∧ (n3 + n0) + n4 + n1 ≤ # ar0 ∧ (n5 < n4 + n1 → ar2[n2 + n5] = copy(ar, n, ar0, n0, n1 + n3)[(n3 + n0) + n5])

Rule argument

Additional information

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