Theorem olop

Description: An ortholattice is an orthoposet. (Contributed by NM, 18-Sep-2011)

	Ref	Expression
Assertion	olop	⊢ ( 𝐾 ∈ OL → 𝐾 ∈ OP )

Proof

Step	Hyp	Ref	Expression
1		isolat	⊢ ( 𝐾 ∈ OL ↔ ( 𝐾 ∈ Lat ∧ 𝐾 ∈ OP ) )
2	1	simprbi	⊢ ( 𝐾 ∈ OL → 𝐾 ∈ OP )