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Proof step 3 from proof nuni (previous step)

unique_al(ay + (a × d)' + az), a ∈ ay ⊦ a ∈ az

User applied rule structural induction

And obtained the following new goals

Proof step 4:
unique_al((p + ay0) + (a × d)' + az), a ∈ p + ay0, ∀ a, d, az. unique_al(ay0 + (a × d)' + az) ∧ a ∈ ay0 → a ∈ az ⊦ a ∈ az

Rule argument

indvar: ay

Additional information

Used simplifier rules: empty: ⊦ ¬ a ∈ [];%assoclist freely generated by [], +;;