moved formal_topology into library"

[helm.git] / helm / software / matita / contribs / formal_topology / overlap / basic_pairs_to_basic_topologies.ma

diff --git a/helm/software/matita/contribs/formal_topology/overlap/basic_pairs_to_basic_topologies.ma b/helm/software/matita/contribs/formal_topology/overlap/basic_pairs_to_basic_topologies.ma
deleted file mode 100644 (file)
index b557bed..0000000
--- a/helm/software/matita/contribs/formal_topology/overlap/basic_pairs_to_basic_topologies.ma
+++ /dev/null
@@ -1,62 +0,0 @@
-(**************************************************************************)
-(*       ___                                                              *)
-(*      ||M||                                                             *)
-(*      ||A||       A project by Andrea Asperti                           *)
-(*      ||T||                                                             *)
-(*      ||I||       Developers:                                           *)
-(*      ||T||         The HELM team.                                      *)
-(*      ||A||         http://helm.cs.unibo.it                             *)
-(*      \   /                                                             *)
-(*       \ /        This file is distributed under the terms of the       *)
-(*        v         GNU General Public License Version 2                  *)
-(*                                                                        *)
-(**************************************************************************)
-
-include "basic_pairs_to_o-basic_pairs.ma".
-include "o-basic_pairs_to_o-basic_topologies.ma".
-include "basic_pairs.ma".
-include "basic_topologies.ma".
-
-definition basic_topology_of_basic_pair: basic_pair → basic_topology.
- intro bp;
- letin obp ≝ (o_basic_pair_of_basic_pair bp);
- letin obt ≝ (o_basic_topology_of_o_basic_pair obp);
- constructor 1;
-  [ apply (form bp);
-  | apply (oA obt);
-  | apply (oJ obt);
-  | apply (oA_is_saturation obt);
-  | apply (oJ_is_reduction obt);
-  | apply (Ocompatibility obt); ]
-qed.
-
-definition continuous_relation_of_relation_pair:
- ∀BP1,BP2.relation_pair BP1 BP2 →
-  continuous_relation (basic_topology_of_basic_pair BP1) (basic_topology_of_basic_pair BP2).
- intros (BP1 BP2 rp);
- letin orp ≝ (o_relation_pair_of_relation_pair ?? rp);
- letin ocr ≝ (o_continuous_relation_of_o_relation_pair ?? orp);
- constructor 1;
-  [ apply (rp \sub \f);
-  | apply (Oreduced ?? ocr);
-  | apply (Osaturated ?? ocr); ]
-qed.
-
-alias symbol "compose" (instance 3) = "category1 composition".
-alias symbol "compose" (instance 3) = "category1 composition".
-record functor1 (C1: category1) (C2: category1) : Type2 ≝
- { map_objs1:1> C1 → C2;
-   map_arrows1: ∀S,T. unary_morphism1 (arrows1 ? S T) (arrows1 ? (map_objs1 S) (map_objs1 T));
-   respects_id1: ∀o:C1. map_arrows1 ?? (id1 ? o) = id1 ? (map_objs1 o);
-   respects_comp1:
-     ∀o1,o2,o3.∀f1:arrows1 ? o1 o2.∀f2:arrows1 ? o2 o3.
-     map_arrows1 ?? (f2 ∘ f1) = map_arrows1 ?? f2 ∘ map_arrows1 ?? f1}.
-
-definition BTop_of_BP: functor1 BP BTop.
- lapply OR as F;
- constructor 1;
-  [ apply basic_topology_of_basic_pair
-  | intros; constructor 1 [ apply continuous_relation_of_relation_pair; ]
-  | simplify; intro;
-  ]
-qed.
\ No newline at end of file