1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 include "basic_topologies.ma".
16 include "o-basic_topologies.ma".
17 include "relations_to_o-algebra.ma".
19 definition o_basic_topology_of_basic_topology: basic_topology → Obasic_topology.
20 intros (b); constructor 1;
21 [ apply (POW' b) | apply (A b) | apply (J b);
22 | apply (A_is_saturation b) | apply (J_is_reduction b) | apply (compatibility b) ]
25 definition o_continuous_relation_of_continuous_relation:
26 ∀BT1,BT2.continuous_relation BT1 BT2 →
27 Ocontinuous_relation (o_basic_topology_of_basic_topology BT1) (o_basic_topology_of_basic_topology BT2).
28 intros (BT1 BT2 c); constructor 1;
29 [ apply (orelation_of_relation ?? c) | apply (reduced ?? c) | apply (saturated ?? c) ]