Description: The property of being a path-connected topological space. (Contributed by Mario Carneiro, 11-Feb-2015)
Ref | Expression | ||
---|---|---|---|
Hypothesis | ispconn.1 | |
|
Assertion | ispconn | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ispconn.1 | |
|
2 | unieq | |
|
3 | 2 1 | eqtr4di | |
4 | oveq2 | |
|
5 | 4 | rexeqdv | |
6 | 3 5 | raleqbidv | |
7 | 3 6 | raleqbidv | |
8 | df-pconn | |
|
9 | 7 8 | elrab2 | |