Description: The topology of the extended reals. (Contributed by Mario Carneiro, 3-Sep-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | letopon | |- ( ordTop ` <_ ) e. ( TopOn ` RR* ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | letsr | |- <_ e. TosetRel |
|
2 | ledm | |- RR* = dom <_ |
|
3 | 2 | ordttopon | |- ( <_ e. TosetRel -> ( ordTop ` <_ ) e. ( TopOn ` RR* ) ) |
4 | 1 3 | ax-mp | |- ( ordTop ` <_ ) e. ( TopOn ` RR* ) |