Description: Two ways to express the notion of being a Moore collection on an unspecified base. (Contributed by Stefan O'Rear, 30-Jan-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | mreunirn | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fnmre | |
|
2 | fnunirn | |
|
3 | 1 2 | ax-mp | |
4 | mreuni | |
|
5 | 4 | fveq2d | |
6 | 5 | eleq2d | |
7 | 6 | ibir | |
8 | 7 | rexlimivw | |
9 | 3 8 | sylbi | |
10 | fvssunirn | |
|
11 | 10 | sseli | |
12 | 9 11 | impbii | |