Description: The predicate " P is a limit point of S " in terms of open sets. see islp2 , elcls , islp . (Contributed by FL, 31-Jul-2009)
Ref | Expression | ||
---|---|---|---|
Hypothesis | lpfval.1 | |
|
Assertion | islp3 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | lpfval.1 | |
|
2 | 1 | islp | |
3 | 2 | 3adant3 | |
4 | simp2 | |
|
5 | 4 | ssdifssd | |
6 | 1 | elcls | |
7 | 5 6 | syld3an2 | |
8 | 3 7 | bitrd | |