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Proof step 7 from proof copy-subarray1-elim (previous step)

n < # ar1, n0 + n1 ≤ # ar0, m + m1 ≤ n1 ⊦ (n < m0 ∨ m0 + m1 ≤ n ⊃ ar1[n];copy(ar0, n0, mkarray(n1), 0, n1)[n + m - m0]) = (n < m0 ∨ m0 + m1 ≤ n ⊃ ar1[n];ar0[n + n0 + m - m0]), n < m0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
n < # ar1, m0 < # ar1, m + m1 ≤ n1, n0 + n1 ≤ # ar0, m0 ≤ n ⊦ (m0 + m1 ≤ n ⊃ ar1[n];copy(ar0, n0, mkarray(n1), 0, n1)[(n - m0) + m]) = (m0 + m1 ≤ n ⊃ ar1[n];ar0[(n - m0) + n0 + m])

Rule argument

Additional information

Used simplifier rules: fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ n ≤ m → m + n0 - n = (m - n) + n0; (s)% ⊦ m < n ↔ ¬ n ≤ m; (ss)