X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Flibrary%2Fformal_topology%2Fbasic_pairs_to_basic_topologies.ma;h=fb8891613e75bbcf541e94e0fbd59b36dca5822a;hb=a823c605d3a541c8d7df2bcc3c21bf459c9d25c4;hp=ac137748f2b6aff69f6c1a6a7a3155463ba00fba;hpb=1ed4fe0f28d3b0b915387330cd722bfb80fb1063;p=helm.git diff --git a/helm/software/matita/library/formal_topology/basic_pairs_to_basic_topologies.ma b/helm/software/matita/library/formal_topology/basic_pairs_to_basic_topologies.ma index ac137748f..fb8891613 100644 --- a/helm/software/matita/library/formal_topology/basic_pairs_to_basic_topologies.ma +++ b/helm/software/matita/library/formal_topology/basic_pairs_to_basic_topologies.ma @@ -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); @@ -54,11 +52,13 @@ record functor1 (C1: category1) (C2: category1) : Type2 ≝ (* 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. + +lemma BBBB_faithful : failthful2 ?? VVV +FIXME *) \ No newline at end of file