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Proof step 2 from proof in-04 (previous step)

perm(x, y), a ∈ x ⊦ a ∈ y

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: sym-01: ⊦ perm(x, y) → perm(y, x);%in: ⊦ a ∈ y ∧ ¬ a ∈ x → ¬ perm(x, y);