Description: The unit interval is locally connected. (Contributed by Mario Carneiro, 6-Jul-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | iinllyconn |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sconnpconn | ||
2 | pconnconn | ||
3 | 1 2 | syl | |
4 | 3 | ssriv | |
5 | nllyss | ||
6 | 4 5 | ax-mp | |
7 | llyssnlly | ||
8 | iillysconn | ||
9 | 7 8 | sselii | |
10 | 6 9 | sselii |