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

Metamath Proof Explorer

Theorem olposN

Description: An ortholattice is a poset. (Contributed by NM, 16-Oct-2011) (New usage is discouraged.)

		Ref	Expression
	Assertion	olposN	$⊢ K \in OL \to K \in Poset$

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