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Proof step 9 from proof range-extend (previous step)

range=(copy(ar, n, ar0, n0 + m0, m1), n0 + m0, ar1, n1 + m0, m1), n + m1 ≤ # ar, n0 + m0 + m1 ≤ # ar0, n0 + m0 ≤ # copy(ar, n, ar0, n0 + m0, m1), n1 + m0 ≤ # ar1, ∀ n2. n2 < m0 → copy(ar, n, ar0, n0 + m0, m1)[n0 + n2] = ar1[n1 + n2] ⊦ range=(ar0, n0, ar1, n1, m0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
range=(copy(ar, n, ar0, n0 + m0, m1), n0 + m0, ar1, n1 + m0, m1), n0 + m0 + m1 ≤ # ar0, n + m1 ≤ # ar, n1 + m0 ≤ # ar1, n0 + m0 ≤ # ar0, ∀ n2. n2 < m0 → copy(ar, n, ar0, n0 + m0, m1)[n0 + n2] = ar1[n1 + n2] ⊦ range=(ar0, n0, ar1, n1, m0)

Rule argument

Additional information

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