| ¬ max(x1) < a, ∀ x0. max(x1 + x0) = max(x1) ∨ max(x1 + x0) = max(x0) ∨ x1 + x0 = [] ⊦ max(x1 + x0) = max(x1), x1 + x0 = [], max(x1 + x0) = max(x0), x1 = [], max(x1 + x0) < a |
∀ x0. max(x1 + x0) = max(x1) ∨ max(x1 + x0) = max(x0) ∨ x1 + x0 = [] ⊦ max(x1 + x0) = max(x1), x1 + x0 = [], max(x1 + x0) = max(x0), x1 = [], max(x1 + x0) < a, max(x1) < a