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Proof step 3 from proof unique (previous step)

unique_al(ax + p ') ⊦ ax = [], ¬ ax.head.1 ∈ ax.tail ∧ unique_al(ax.tail)

User applied rule structural induction

And obtained the following new goals

Proof step 4:
unique_al(ax + (a × d)') ⊦ ax = [], ¬ ax.head.1 ∈ ax.tail ∧ unique_al(ax.tail)

Rule argument

indvar: p

Additional information

Used simplifier rules: pair freely generated by ×;;