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Proof step 15 from proof valid-indices-append (previous step)

n0 ∈ nx1, ∀ n. n ∈ nx0 ∨ n ∈ nx1 → n < # ar ⊦ n0 < # ar

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 16:
n0 ∈ nx1, # ar ≤ n0, ∀ n. n ∈ nx0 ∨ n ∈ nx1 → n < # ar ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)