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Proof step 1 from proof shift-03 (conclusion)

⊦ perm(x + a ' + x0, y) ↔ perm(a ' + x + x0, y)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ perm(x + a ' + x0, y) ↔ a ∈ y ∧ perm(x + x0, y -1l a)

Rule argument

Additional information

Used simplifier rules: del-01: ⊦ perm(a ' + x, y) ↔ ¬ ¬(a ∈ y ∧ perm(x, y -1l a));%a: ⊦ (x + y) + z = x + y + z; from specification list