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Proof step 2 from proof lr-01 (previous step)

⊦ x = [], y = [], # x.tail + # y.tail < # x + # y

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
# x + # y ≤ # x.tail + # y.tail ⊦ x = [], y = []

Rule argument

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)