Theorem omllat

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

	Ref	Expression
Assertion	omllat	⊢ ( 𝐾 ∈ OML → 𝐾 ∈ Lat )

Proof

Step	Hyp	Ref	Expression
1		omlol	⊢ ( 𝐾 ∈ OML → 𝐾 ∈ OL )
2		ollat	⊢ ( 𝐾 ∈ OL → 𝐾 ∈ Lat )
3	1 2	syl	⊢ ( 𝐾 ∈ OML → 𝐾 ∈ Lat )