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Proof step 22 from proof max-ordered (previous step)

(max(x0) < a ⊃ a;max(x0)) = a, a < max(x1), ordered≤(x0), x1 ⊑ x0 ⊦ max(x1) = a, x0 = [], x1 = []

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
(max(x0) < a ⊃ a;max(x0)) = a, a < max(x1), ordered≤(x0), x1 ⊑ x0 ⊦ max(x1) = a, x0 = [], x1 = []

Rule argument

Additional information

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