Used simplifier rules: size-inf: ⊦ # ⌜nf⌝ = ∞;%toinf-to-eq: ¬ # σ < n∞ ⊦ σ to∞ n∞ to∞ n∞ = σ to∞ n∞;% ⊦ ¬ ∞ < n∞; (s)