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Proof step 10 from proof ls-ext (previous step)

∀ m. nx0 < m ↔ (∀ n. n ∈ nx0 → n < m) ⊦ m0 ' + nx0 < m ↔ (∀ n. n = m0 ∨ n ∈ nx0 → n < m), m0 ' + nx0 < m

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information