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

a ∈ x, a ∈ y ⊦ perm(x -1l a, y -1l a) ↔ perm(x, y)

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: del-02: ⊦ perm(x -1l a, y -1l a) ∧ a ∈ x ∧ a ∈ y → perm(x, y);%del-04: ⊦ perm(x, y) → perm(x -1l a, y -1l a);