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Proof step 3 from proof perm-del-in (previous step)

perm(x -l a, y), perm(y, x -l a), a ∈ y ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: in seq: ⊦ a ∈ y ∧ ¬ a ∈ x → ¬ perm(x, y) subst: [a, y, x] → [a, y, x -l a] flags: <all paths>

Additional information

Used simplifier rules: ⊦ ¬ a ∈ x -l a; (s) Used terms: a, y, x -l a