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Proof step 44 from proof range-copy-inner (previous step)

n4 < n0 + n3 + m0, range=(ar2, n2, ar0, n1, n3), ((n3 + n1) + m0) + n0 ≤ # ar0, (n3 + n2 + m0) + n0 ≤ # ar2, (n3 + n1) + m0 ≤ # ar0, (n3 + n2) + m0 ≤ # ar2, n + m0 ≤ # ar, ∀ n. n < n0 → ar2[(n3 + n2 + m0) + n] = ar0[((n3 + n1) + m0) + n], ∀ n4. n4 < m0 → ar2[(n3 + n2) + n4] = ar[n + n4] ⊦ ar2[n2 + n4] = copy(ar, n, ar0, n3 + n1, m0)[n1 + n4]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 45:
n4 < n0 + n3 + m0, range=(ar2, n2, ar0, n1, n3), n + m0 ≤ # ar, (n3 + n2) + m0 ≤ # ar2, (n3 + n1) + m0 ≤ # ar0, (n3 + n2 + m0) + n0 ≤ # ar2, ((n3 + n1) + m0) + n0 ≤ # ar0, ∀ n4. n4 < m0 → ar2[(n3 + n2) + n4] = ar[n + n4], ∀ n. n < n0 → ar2[(n3 + n2 + m0) + n] = ar0[((n3 + n1) + m0) + n] ⊦ ar2[n2 + n4] = copy(ar, n, ar0, n3 + n1, m0)[n1 + n4]

Proof step 44 from proof range-copy-inner (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information