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Proof step 2 from proof nuni (previous step)

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

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ a, d, az. a ∈ ax ∧ unique_al(ax + (a × d)' + az) → a ∈ az ⊦ a ∈ p + ax ∧ unique_al((p + ax) + (a × d)' + az) → a ∈ az

Rule argument

indvar: ay

Additional information

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