Description: An open interval is simply connected. (Contributed by Mario Carneiro, 9-Mar-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | ioosconn | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | iccssioo2 | |
|
2 | 1 | rgen2 | |
3 | ioossre | |
|
4 | eqid | |
|
5 | 4 | resconn | |
6 | reconn | |
|
7 | 5 6 | bitr2d | |
8 | 3 7 | ax-mp | |
9 | 2 8 | mpbi | |