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Proof step 4 from proof perm-ins (previous step)

⊦ perm((x + ins≤(a, y)) -1l a, x + y), perm((x + ins≤(a, y)) -1l a, z) ↔ perm(x + y, z)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ perm((x + ins≤(a, y)) -1l a, z) ↔ perm(x + y, z), perm(x + y, (x + ins≤(a, y)) -1l a), perm((x + ins≤(a, y)) -1l a, x + y)

Rule argument

Additional information

Used simplifier rules: sym-02: ⊦ ¬ perm(x, y) → ¬ perm(y, x); (forward) from specification list-perm