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Proof step 8 from proof range-copy-outer (previous step)

n + m0 ≤ # ar, n0 + m0 ≤ # ar0, (n3 + n0) + m1 ≤ # ar0, n3 + m1 ≤ m0, n2 + m1 ≤ # ar2, (n3 + n0) + m1 ≤ # copy(ar, n, ar0, n0, m0), ∀ n4. n4 < m1 → ar2[n2 + n4] = copy(ar, n, ar0, n0, m0)[(n3 + n0) + n4] ⊦ range=(ar2, n2, ar, n + n3, m1)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
n2 + m1 ≤ # ar2, n3 + m1 ≤ m0, n0 + m0 ≤ # ar0, n + m0 ≤ # ar, (n3 + n0) + m1 ≤ # ar0, ∀ n4. n4 < m1 → ar2[n2 + n4] = copy(ar, n, ar0, n0, m0)[(n3 + n0) + n4] ⊦ range=(ar2, n2, ar, n + n3, m1)

Rule argument

Additional information

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