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);
∀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);