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Proof step 2 from proof unique (previous step)

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

User applied rule structural induction

And obtained the following new goals

Proof step 3:
unique_al(ax + (a × d)') ⊦ ax = [], ¬ ax.first.1 ∈ ax.rest ∧ unique_al(ax.rest)

Rule argument

indvar: p

Additional information

Used simplifier rules: pair freely generated by ×;;