#(s1 ++ a) < # s0, ∀ s0. # s1 < # s0 → (∃ a. a ∈ s0 ∧ ¬ a ∈ s1) ⊦ # s0 = 0, s0 = ∅, a ∈ s0, ∃ a0. a0 ∈ s0 ∧ ¬ a0 ∈ s1