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Proof step 13 from proof valid-indices-nodups-h (previous step)

n = n0, n0 < # ar, φ(ar[n0]), n0 ∈ ar.indicesWhere(φ, n0), ∀ ar0, φ0. ¬ dups(ar0.indicesWhere(φ0, n0)) ∨ ¬ n0 ≤ # ar0 ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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