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Proof step 14 from proof perm-put (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

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

Additional information

Used simplifier rules: sym-02: ⊦ ¬ perm(x, y) → ¬ perm(y, x);%perm-put-del1: ⊦ n < # y → perm(y[n, a] -1l a, y -1l y[n]); Used terms: y -1l y[n], y[n, a] -1l a, x -1l a