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Proof step 1 from proof lastN-dups (conclusion)

⊦ ¬ dups(x) ∧ n < # x → ¬ dups(lastn(n, x))

User applied rule structural induction

And obtained the following new goals

Proof step 2:
∀ n. ¬ dups(x0) ∧ n < # x0 → ¬ dups(lastn(n, x0)) ⊦ ¬ dups(a + x0) ∧ n < #(a + x0) → ¬ dups(lastn(n, a + x0))

Rule argument

indvar: x

Additional information

Used simplifier rules: list freely generated by [], +;;%size-01: ⊦ # [] = 0; from specification list-data%zero-01: ⊦ ¬ m < 0; from specification nat-basic1