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Proof step 7 from proof lenle (previous step)

# ay ≤ # ax0, unique_al(ax0), (∃ ay0. (∀ a. a ∈ ax0 → a ∈ ay0) ∧ ¬ # ax0 ≤ # ay0) → ax0 = [], ∀ a0. a0 ∈ ax0 ∨ a0 = a → a0 ∈ ay ⊦ ax0 = [], a ∈ ax0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information