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

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: perm-del seq: ⊦ perm(x, y) → (perm(x -1l a, z) ↔ perm(y -1l a, z)) subst: [y, z, a, x] → [y[n, a], y -1l y[n], a, x] flags: rewrite, current

Additional information

Used simplifier rules: perm-put-del1: ⊦ n < # y → perm(y[n, a] -1l a, y -1l y[n]); Used terms: y[n, a], y -1l y[n], a, x