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Proof step 22 from proof max-sort-sublist (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
∀ x0. x1 + x0 = [] ∨ max(x1 + x0) = max(x1) ∨ max(x1 + x0) = max(x0) ⊦ x1 + x0 = [], max(x1 + x0) = max(x0), max(x1 + x0) = max(a ' + x1), max(x1 + x0) < a

Proof step 22 from proof max-sort-sublist (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information