Theorem atlpos

Description: An atomic lattice is a poset. (Contributed by NM, 5-Nov-2012)

	Ref	Expression
Assertion	atlpos	$$⊢K\in \mathrm{AtLat}\to K\in \mathrm{Poset}$$

Proof

Step	Hyp	Ref	Expression
1		atllat	$$⊢K\in \mathrm{AtLat}\to K\in \mathrm{Lat}$$
2		latpos	$$⊢K\in \mathrm{Lat}\to K\in \mathrm{Poset}$$
3	1 2	syl	$$⊢K\in \mathrm{AtLat}\to K\in \mathrm{Poset}$$