include "o-basic_pairs_to_o-basic_topologies.ma".
lemma rOR_full :
- ∀rS,rT:rOBP.∀f:arrows2 ? (OR (F2 ??? rS)) (OR (F2 ??? rT)).
- exT22 ? (λg:arrows2 OBP (F1 ??? rS) (F1 ??? rT).
- map_arrows2 ? ? OR rS rT g = f).
- ∀S,T.∀f. exT22 ? (λg. map_arrows2 ? ? OR S T g = f).
-arrows2 OBP S T
-unary_morphism1_setoid1 (OR S) (OR T)
+ ∀rS,rT:rOBP.∀f:arrows2 BTop (OR (ℱ_2 rS)) (OR (ℱ_2 rT)).
+ exT22 ? (λg:arrows2 rOBP rS rT.
+ map_arrows2 ?? OR ?? (ℳ_2 g) = f).
+intros; cases f (c H1 H2); simplify;
+STOP;
+
(* Todo: rename BTop → OBTop *)