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Proof step 1 from proof perm-01 (conclusion)

⊦ perm(ins≤(a, sort(x)), y) ↔ perm(a ' + x, y)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
⊦ perm(a ' + sort(x), y) ↔ perm(a ' + x, y)

Rule argument

Additional information

Used simplifier rules: ⊦ a + x = a ' + x; (s)% ⊦ perm(ins≤(a, x), y) ↔ perm(a + x, y); (s)