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Proof step 1 from proof perm-rmdup-rev (conclusion)

⊦ perm(x, rmdup(rev(y))) ↔ perm(x, rmdup(y))

User applied rule structural induction

And obtained the following new goals

Proof step 2:
∀ y. perm(x0, rmdup(rev(y))) ↔ perm(x0, rmdup(y)) ⊦ perm(a + x0, rmdup(rev(y))) ↔ perm(a + x0, rmdup(y))

Rule argument

indvar: x

Additional information

Used simplifier rules: empty-01: ⊦ perm([], y) ↔ y = [];%perm-e: ⊦ perm([], []);%list freely generated by [], +;;%rm-empty: ⊦ rmdup(x) = [] ↔ x = []; from specification list-dup%rev-empty: ⊦ rev(x) = [] ↔ x = []; from specification list-last%rmdup-e: ⊦ rmdup([]) = []; from specification list-dup%rev-e: ⊦ rev([]) = []; from specification list-last