Description: The predicate "is a compact topology". (Contributed by FL, 22-Dec-2008) (Revised by Mario Carneiro, 11-Feb-2015)
Ref | Expression | ||
---|---|---|---|
Hypothesis | iscmp.1 | |
|
Assertion | iscmp | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | iscmp.1 | |
|
2 | pweq | |
|
3 | unieq | |
|
4 | 3 1 | eqtr4di | |
5 | 4 | eqeq1d | |
6 | 4 | eqeq1d | |
7 | 6 | rexbidv | |
8 | 5 7 | imbi12d | |
9 | 2 8 | raleqbidv | |
10 | df-cmp | |
|
11 | 9 10 | elrab2 | |