Description: An orthomodular lattice is an orthoposet. (Contributed by NM, 6-Nov-2011)
Ref | Expression | ||
---|---|---|---|
Assertion | omlop | |- ( K e. OML -> K e. OP ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | omlol | |- ( K e. OML -> K e. OL ) |
|
2 | olop | |- ( K e. OL -> K e. OP ) |
|
3 | 1 2 | syl | |- ( K e. OML -> K e. OP ) |