Theorem omllat

Description: An orthomodular lattice is a lattice. (Contributed by NM, 6-Nov-2011)

	Ref	Expression
Assertion	omllat	$$⊢K\in \mathrm{OML}\to K\in \mathrm{Lat}$$

Proof

Step	Hyp	Ref	Expression
1		omlol	$$⊢K\in \mathrm{OML}\to K\in \mathrm{OL}$$
2		ollat	$$⊢K\in \mathrm{OL}\to K\in \mathrm{Lat}$$
3	1 2	syl	$$⊢K\in \mathrm{OML}\to K\in \mathrm{Lat}$$