Theorem omlop

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

	Ref	Expression
Assertion	omlop	$$⊢K\in \mathrm{OML}\to K\in \mathrm{OP}$$

Proof

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