Description: A structure power of a topological space is a topological space. (Contributed by Mario Carneiro, 27-Aug-2015)
Ref | Expression | ||
---|---|---|---|
Hypothesis | pwstps.y | |
|
Assertion | pwstps | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pwstps.y | |
|
2 | eqid | |
|
3 | 1 2 | pwsval | |
4 | eqid | |
|
5 | fvexd | |
|
6 | simpr | |
|
7 | fconst6g | |
|
8 | 7 | adantr | |
9 | 4 5 6 8 | prdstps | |
10 | 3 9 | eqeltrd | |