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Proof step 79 from proof splice-resize-less (previous step)

n < n2 + n1, # ar1 < n1 + n2, n < n1 + n2, # ar1 < n1 + m0, n < n1 + m0, n2 ≤ m0 ⊦ copy(ar0, n0, resize(ar1, n1 + m0), n1, m0)[n] = ar0[n + n0 - n1], m0 = 0, n2 = 0, n < n1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 80:
n < n2 + n1, # ar1 < n1 + n2, n < n1 + n2, # ar1 < n1 + m0, n < n1 + m0, n1 ≤ n, n2 ≤ m0 ⊦ copy(ar0, n0, resize(ar1, n1 + m0), n1, m0)[n] = ar0[(n - n1) + n0], m0 = 0, n2 = 0

Rule argument

Additional information

Used simplifier rules: ⊦ m < m + n ↔ n ≠ 0; (s)%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)