Description: An ultrafilter containing a finite element is fixed. (Contributed by Jeff Hankins, 5-Dec-2009) (Revised by Stefan O'Rear, 2-Aug-2015)
Ref | Expression | ||
---|---|---|---|
Assertion | uffinfix | |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ufilfil | |
|
2 | filfinnfr | |
|
3 | 1 2 | syl3an1 | |
4 | uffix2 | |
|
5 | 4 | 3ad2ant1 | |
6 | 3 5 | mpbid | |