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Proof step 2 from proof lenle (previous step)

# ay < # ax, unique_al(ax), ∀ a. a ∈ ax → a ∈ ay ⊦ ax = []

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ ay. # ay < # ax0 ∧ unique_al(ax0) ∧ (∀ a. a ∈ ax0 → a ∈ ay) → ax0 = [] ⊦ # ay < #(p + ax0) ∧ unique_al(p + ax0) ∧ (∀ a. a ∈ p + ax0 → a ∈ ay) → p + ax0 = []

Rule argument

indvar: ax

Additional information

Used simplifier rules: assoclist freely generated by [], +;;