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Proof step 3 from proof perm-rmdup-rev (previous step)

a ∈ y, ∀ y. perm(x0, rmdup(rev(y))) ↔ perm(x0, rmdup(y)) ⊦ perm(x0, rmdup(rev(y)) -1l a) ↔ perm(x0, rmdup(y) -1l a)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ rmdup(x) -1l a = rmdup(x -l a)
Proof step 5:
a ∈ y, ∀ y. perm(x0, rmdup(rev(y))) ↔ perm(x0, rmdup(y)) ⊦ perm(x0, rmdup(rev(y) -l a)) ↔ perm(x0, rmdup(y) -1l a)

Rule argument

spec: list-del inst: name: rmdup-del1-del seq: ⊦ rmdup(x) -1l a = rmdup(x -l a) subst: [a, x] → [a, rev(y)] flags: rewrite

Additional information

Used terms: a, rev(y)