include "o-algebra.ma".
alias symbol "eq" = "setoid1 eq".
-definition is_saturation ≝
+definition is_saturation: ∀C:OA. unary_morphism1 C C → CProp1 ≝
λC:OA.λA:unary_morphism1 C C.
∀U,V. (U ≤ A V) = (A U ≤ A V).
-definition is_reduction ≝
+definition is_reduction: ∀C:OA. unary_morphism1 C C → CProp1 ≝
λC:OA.λJ:unary_morphism1 C C.
∀U,V. (J U ≤ V) = (J U ≤ J V).