include "relations_to_o-algebra.ma".
definition o_basic_topology_of_basic_topology: basic_topology → Obasic_topology.
- intro;
- constructor 1;
- [ apply (POW' b);
- | apply (A b);
- | apply (J b);
- | apply (A_is_saturation b);
- | apply (J_is_reduction b);
- | apply (compatibility b); ]
+ intros (b); constructor 1;
+ [ apply (POW' b) | apply (A b) | apply (J b);
+ | apply (A_is_saturation b) | apply (J_is_reduction b) | apply (compatibility b) ]
qed.
definition o_continuous_relation_of_continuous_relation:
∀BT1,BT2.continuous_relation BT1 BT2 →
Ocontinuous_relation (o_basic_topology_of_basic_topology BT1) (o_basic_topology_of_basic_topology BT2).
- intros;
- constructor 1;
- [ apply (orelation_of_relation ?? c);
- | apply (reduced ?? c);
- | apply (saturated ?? c); ]
+ intros (BT1 BT2 c); constructor 1;
+ [ apply (orelation_of_relation ?? c) | apply (reduced ?? c) | apply (saturated ?? c) ]
qed.
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