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Proof step 17 from proof copy-shift-right (previous step)

n < # ar0 + # ar1, n < # ar0 + # copy(ar, m, ar1, n0, m1) ⊦ (n < n0 + # ar0 ∨ (n0 + # ar0) + m1 ≤ n ⊃ (ar0 + ar1)[n];ar[n + m - n0 + # ar0]) = (n < # ar0 ⊃ ar0[n];copy(ar, m, ar1, n0, m1)[n - # ar0])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
n < # ar0 + # ar1 ⊦ (n < n0 + # ar0 ∨ (n0 + # ar0) + m1 ≤ n ⊃ (ar0 + ar1)[n];ar[n + m - n0 + # ar0]) = (n < # ar0 ⊃ ar0[n];copy(ar, m, ar1, n0, m1)[n - # ar0])

Rule argument

Additional information

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