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Proof step 1 from proof rmpos-in (conclusion)

⊦ ¬ dups(x) ∧ n < # x → (a ∈ x -p n ↔ a ≠ x[n] ∧ a ∈ x)

System applied rule normalize

And obtained the following new goals

Proof step 2:
n < # x ⊦ a ∈ x -p n ↔ a ≠ x[n] ∧ a ∈ x, dups(x)

Rule argument

Additional information