⊦ as ⊆ as0 ↔ (∀ adr. adr ∈ as → adr ∈ as0)
⊦ (∀ adr. ¬ adr ∈ as0 \ as1) ↔ (∀ adr. adr ∈ as0 → adr ∈ as1)
Used terms: as1, as0