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Proof step 1 from proof lim-exists (conclusion)

mon(σσ), σσ ≠ [] ⊦ ∃ σ. (∀ n. ⌜n⌝ < # σσ → σσ[n] ⊑ σ) ∧ (∀ m. ¬ # σ < ⌜m⌝ → (∃ n. ⌜n⌝ < # σσ ∧ σ to m ⊑ σσ[n]))

System applied rule normalize

And obtained the following new goals

Rule argument

Additional information