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Proof step 4 from proof max-ge-first (previous step)

x ≠ [], (max(x) < a ⊃ a;max(x)) < a ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
(max(x) < a ⊃ a;max(x)) < a ⊦ x = []

Rule argument

Additional information