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Proof step 1 from proof empty (conclusion)

⊦ sort([]) = []

User applied rule insert lemma

And obtained the following new goals

Proof step 2:
⊦ perm(x, sort(x))

Rule argument

spec: olist-sort inst: name: Perm seq: ⊦ perm(x, sort(x)) subst: [x] → [[]] flags: current, []

Additional information

Used simplifier rules: perm-r: ⊦ y ≠ [] → ¬ perm([], y); from specification list-perm Used terms: []