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

perm(ax, ay), unique_al(ax), perm(ay, ax) ⊦ unique_al(ay)

User applied rule structural induction

And obtained the following new goals

Proof step 3:
∀ ay. perm(ax0, ay) ∧ unique_al(ax0) ∧ perm(ay, ax0) → unique_al(ay) ⊦ perm(p + ax0, ay) ∧ unique_al(p + ax0) ∧ perm(ay, p + ax0) → unique_al(ay)

Rule argument

indvar: ax

Additional information

Used simplifier rules: unique-e: ⊦ unique_al([]);%assoclist freely generated by [], +;;% ⊦ perm([], ax) ↔ ax = [];% ⊦ perm(ax, []) ↔ ax = [];