This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem omlop

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

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

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