Description: An atomic lattice with the covering property is a poset. (Contributed by NM, 5-Nov-2012) (New usage is discouraged.)
Ref | Expression | ||
---|---|---|---|
Assertion | cvlposN | |- ( K e. CvLat -> K e. Poset ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cvllat | |- ( K e. CvLat -> K e. Lat ) |
|
2 | latpos | |- ( K e. Lat -> K e. Poset ) |
|
3 | 1 2 | syl | |- ( K e. CvLat -> K e. Poset ) |