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

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

Heuristic pl case distinction applied rule case distinction

And obtained the following new goals

Proof step 5:
perm(x, y[n, a]), n < # y, perm(y[n, a], x) ⊦ a ∈ x, y = []
Proof step 7:
perm(x, y[n, a]), n < # y, perm(y[n, a], x) ⊦ perm(x -1l a, y -1l y[n]), y = []

Rule argument

pos: right 2

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