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Proof step 1 from proof lr-01 (conclusion)

⊦ x ≠ [] ∧ y ≠ [] → # x.rest + # y.rest < # x + # y

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
# x + # y ≤ # x.rest + # y.rest ⊦ y = [], x = []

Rule argument

Additional information

Used simplifier rules: lels: ⊦ ¬ m < n ↔ n ≤ m; from specification nat