include "o-basic_topologies.ma".
include "relations_to_o-algebra.ma".
-definition o_basic_topology_of_basic_topology: cic:/matita/formal_topology/basic_topologies/basic_topology.ind#xpointer(1/1) → basic_topology.
+definition o_basic_topology_of_basic_topology: basic_topology → Obasic_topology.
intro;
constructor 1;
[ apply (POW' b);
qed.
definition o_continuous_relation_of_continuous_relation:
- ∀BT1,BT2.cic:/matita/formal_topology/basic_topologies/continuous_relation.ind#xpointer(1/1) BT1 BT2 →
- continuous_relation (o_basic_topology_of_basic_topology BT1) (o_basic_topology_of_basic_topology BT2).
+ ∀BT1,BT2.continuous_relation BT1 BT2 →
+ Ocontinuous_relation (o_basic_topology_of_basic_topology BT1) (o_basic_topology_of_basic_topology BT2).
intros;
constructor 1;
[ apply (orelation_of_relation ?? c);
| apply (reduced ?? c);
| apply (saturated ?? c); ]
-qed.
+qed.
\ No newline at end of file