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include "formal_topology/relations.ma".
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include "formal_topology/relations.ma".
definition is_saturation: ∀C:REL. Ω^C ⇒_1 Ω^C → CProp[1] ≝
λC:REL.λA:Ω^C ⇒_1 Ω^C. ∀U,V. (U ⊆ A V) =_1 (A U ⊆ A V).
definition is_saturation: ∀C:REL. Ω^C ⇒_1 Ω^C → CProp[1] ≝
λC:REL.λA:Ω^C ⇒_1 Ω^C. ∀U,V. (U ⊆ A V) =_1 (A U ⊆ A V).