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Proof step 10 from proof perm-unique (previous step)

perm(ax0, ay -1l (a × d)), a × d ∈ ay, perm(ay, (a × d)' + ax0), unique_al(ax0), perm(ay -1l (a × d), ax0), perm(ay -1l (a × d), ax0) ∧ perm(ax0, ay -1l (a × d)) → unique_al(ay -1l (a × d)) ⊦ a ∈ ax0, unique_al(ay)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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