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Proof step 4 from proof unique (previous step)

unique_al(ax + (a × d)') ⊦ unique_al(ax)

User applied rule structural induction

And obtained the following new goals

Proof step 5:
∀ a, d. unique_al(ax0 + (a × d)') → unique_al(ax0) ⊦ unique_al((p + ax0) + (a × d)') → unique_al(p + ax0)

Rule argument

indvar: ax

Additional information

Used simplifier rules: one: ⊦ unique_al(p ');%unique-e: ⊦ unique_al([]);%assoclist freely generated by [], +;;% ⊦ [] + ax = ax;% ⊦ (ax + ax0) + ax1 = ax + ax0 + ax1;