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Proof step 1 from proof range-copy-lower (conclusion)

n0 ≤ n1, n1 ≤ n0 + m0, n0 + m0 ≤ n1 + m1, n + m0 ≤ # ar, n0 + m0 ≤ # ar0 ⊦ range=(ar2, n2, copy(ar, n, ar0, n0, m0), n1, m1) ↔ range=(ar2, n2, ar, n + (n1 - n0), m0 + n0 - n1) ∧ range=(ar2, n2 + n0 + m0 - n1, ar0, n0 + m0, m1 + n1 - m0 + n0)

System applied rule normalize

And obtained the following new goals

Proof step 2:
n0 + m0 ≤ # ar0, n + m0 ≤ # ar, n0 + m0 ≤ n1 + m1, n1 ≤ n0 + m0, n0 ≤ n1 ⊦ range=(ar2, n2, copy(ar, n, ar0, n0, m0), n1, m1) ↔ range=(ar2, n2, ar, n + (n1 - n0), m0 + n0 - n1) ∧ range=(ar2, n2 + n0 + m0 - n1, ar0, n0 + m0, m1 + n1 - m0 + n0)

Proof step 1 from proof range-copy-lower (conclusion)

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information