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Proof step 11 from proof valid-indices-append (previous step)

∀ n. n ∈ nx0 ∨ n ∈ nx1 → n < # ar ⊦ (∀ n. n ∈ nx0 → n < # ar) ∧ (∀ n. n ∈ nx1 → n < # ar)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information