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Proof step 32 from proof range-extend (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 33:
range=(ar, n, ar1, n1 + m0, m1), n1 + m0 ≤ # ar1, n0 + m0 ≤ # ar0, n0 + m0 + m1 ≤ # ar0, n + m1 ≤ # ar, ∀ n. n < m0 → ar0[n0 + n] = ar1[n1 + n] ⊦ n1 + m0 + m1 ≤ # ar1 ∧ (n2 < m0 + m1 → copy(ar, n, ar0, n0 + m0, m1)[n0 + n2] = ar1[n1 + n2])

Proof step 32 from proof range-extend (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information