Description: Every I-finite set is VII-finite. (Contributed by Mario Carneiro, 17-May-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | fin17 | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eldif | |
|
2 | enfi | |
|
3 | onfin | |
|
4 | 2 3 | sylan9bbr | |
5 | 4 | biimpd | |
6 | 5 | con3d | |
7 | 6 | impancom | |
8 | 1 7 | sylbi | |
9 | 8 | rexlimiv | |
10 | 9 | con2i | |
11 | isfin7 | |
|
12 | 10 11 | mpbird | |