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Proof step 8 from proof perm-put (previous step)

n < # y, perm(y[n, a], x), perm(x, y[n, a]) ⊦ y = [], perm(x -1l a, y -1l y[n])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
n < # y, perm(y[n, a], x), perm(x, y[n, a]) ⊦ y = [], perm(x -1l a, y -1l y[n])

Rule argument

Additional information

Used simplifier rules: sym-02: ⊦ ¬ perm(x, y) → ¬ perm(y, x);%sym-02: ⊦ ¬ perm(x, y) → ¬ perm(y, x);