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Proof step 2 from proof unique-del (previous step)

unique_al(ax -1l (a × d)) ⊦ a ∈ ax -1l (a × d), unique_al(ax)

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ a, d. unique_al(ax0 -1l (a × d)) → a ∈ ax0 -1l (a × d) ∨ unique_al(ax0) ⊦ unique_al((p + ax0) -1l (a × d)) → a ∈ (p + ax0) -1l (a × d) ∨ unique_al(p + ax0)

Rule argument

indvar: ax

Additional information

Used simplifier rules: unique-e: ⊦ unique_al([]);%empty: ⊦ ¬ a ∈ [];%assoclist freely generated by [], +;;% ⊦ [] -1l p = [];