Theorem atlpos

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

	Ref	Expression
Assertion	atlpos	⊢ ( 𝐾 ∈ AtLat → 𝐾 ∈ Poset )

Proof

Step	Hyp	Ref	Expression
1		atllat	⊢ ( 𝐾 ∈ AtLat → 𝐾 ∈ Lat )
2		latpos	⊢ ( 𝐾 ∈ Lat → 𝐾 ∈ Poset )
3	1 2	syl	⊢ ( 𝐾 ∈ AtLat → 𝐾 ∈ Poset )