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Proof step 4 from proof eqdef (previous step)

ordered≤(a ' + x0), perm(a ' + x0, y), ordered≤(y), ∀ y0. perm(x0, y0) ∧ ordered≤(y0) → x0 = y0 ⊦ a ' + x0 = y

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ perm(a ' + x, y) ↔ ¬ ¬(a ∈ y ∧ perm(x, y -1l a))
Proof step 6:
ordered≤(a ' + x0), a ∈ y ∧ perm(x0, y -1l a), ordered≤(y), ∀ y0. perm(x0, y0) ∧ ordered≤(y0) → x0 = y0 ⊦ a ' + x0 = y

Rule argument

spec: list-perm inst: name: del-01 seq: ⊦ perm(a ' + x, y) ↔ ¬ ¬(a ∈ y ∧ perm(x, y -1l a)) subst: [y, x, a] → [y, x0, a] flags: rewrite

Additional information

Used terms: y, x0, a