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Metamath Proof Explorer

Theorem omllat

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

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

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