]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/formal_topology/overlap/o-saturations.ma
Fixing universe levels for saturations and (partially) basic_topologies.
[helm.git] / helm / software / matita / contribs / formal_topology / overlap / o-saturations.ma
index 0511edd34095c9f1b99fcc3fd06f3f8728ab4b57..bd4e187777fb9635dc3349b9a32a6ffb2596deec 100644 (file)
 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).