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Proof step 14 from proof copy-other-weak (previous step)

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

Heuristic nonsplitting cut applied rule cut formula

And closed the goal!

Rule argument

fma: n1 + m0 < m

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%let: ⊦ n ≤ n0 ∧ n0 ≤ n1 → n ≤ n1; (forward) from specification nat% ⊦ m + n ≤ m + n0 ↔ n ≤ n0; (s)% ⊦ m < n → (n ≤ m ↔ false); (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic Used formulas: n1 + m0 < m