]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/library/formal_topology/basic_pairs_to_basic_topologies.ma
more notation
[helm.git] / helm / software / matita / library / formal_topology / basic_pairs_to_basic_topologies.ma
index ac137748f2b6aff69f6c1a6a7a3155463ba00fba..fe4cbd10f246e339c5191a9e3125000c0c039721 100644 (file)
@@ -19,8 +19,7 @@ include "formal_topology/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);
+ letin obt ≝ (OR (BP_to_OBP bp));
  constructor 1;
   [ apply (form bp);
   | apply (oA obt);
@@ -34,8 +33,7 @@ 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);
+ letin ocr ≝ (OR⎽⇒ (BP_to_OBP⎽⇒ rp));
  constructor 1;
   [ apply (rp \sub \f);
   | apply (Oreduced ?? ocr);