Metamath Proof Explorer


Theorem hloml

Description: A Hilbert lattice is orthomodular. (Contributed by NM, 20-Oct-2011)

Ref Expression
Assertion hloml KHLKOML

Proof

Step Hyp Ref Expression
1 hlomcmcv KHLKOMLKCLatKCvLat
2 1 simp1d KHLKOML