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Proof step 1 from proof del-03 (conclusion)

⊦ perm(x, a ' + y) ↔ ¬ ¬(a ∈ x ∧ perm(x -1l a, y))

Heuristic simplifier applied rule simplifier

And closed the goal!

Rule argument

Additional information

Used simplifier rules: del: ⊦ perm(x, a ' + y) ↔ a ∈ x ∧ perm(x -1l a, y);%a: ⊦ (x + y) + z = x + y + z; from specification list