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Proof step 17 from proof max-sort-sublist (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
max(x1 + x0) = max(x0), max(x0) < a, ∀ x0. x1 + x0 = [] ∨ max(x1 + x0) = max(x1) ∨ max(x1 + x0) = max(x0) ⊦ a = max(a ' + x1), a = max(x0), x1 + x0 = []

Rule argument

Additional information

Used simplifier rules: lel: ⊦ a < b ∧ a = c → c < b; (forward) from specification oelem