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Proof step 2 from proof unique-02 (previous step)

unique_al(ax), a × d ∈ ax, a × d0 ∈ ax ⊦ d = d0

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ a, d, d0. unique_al(ax0) ∧ a × d ∈ ax0 ∧ a × d0 ∈ ax0 → d = d0, unique_al(p + ax0), a × d ∈ p + ax0, a × d0 ∈ p + ax0 ⊦ d = d0

Rule argument

indvar: ax

Additional information

Used simplifier rules: unique-e: ⊦ unique_al([]);%assoclist freely generated by [], +;;%in-empty: ⊦ ¬ p ∈ []; from specification list[assoclista]