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Theorem lim-unique

mon(σσ), σσ ≠ [], ∀ n. ⌜n⌝ < # σσ → σσ[n] ⊑ σ, ∀ n. ⌜n⌝ < # σσ → σσ[n] ⊑ σ0, ∀ m. ¬ # σ < ⌜m⌝ → (∃ n. ⌜n⌝ < # σσ ∧ ⌜σ to m⌝ ⊑ σσ[n]), ∀ m. ¬ # σ0 < ⌜m⌝ → (∃ n. ⌜n⌝ < # σσ ∧ ⌜σ0 to m⌝ ⊑ σσ[n]) ⊦ σ = σ0

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