Description: A regular space is R_1, which means that any two topologically distinct points can be separated by neighborhoods. (Contributed by Mario Carneiro, 25-Aug-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | regr1 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | regtop | |
|
2 | toptopon2 | |
|
3 | 1 2 | sylib | |
4 | eqid | |
|
5 | 4 | regr1lem2 | |
6 | 3 5 | mpancom | |