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Metamath Proof Explorer

Theorem ollat

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

Ref Expression
Assertion ollat 
|- ( K e. OL -> K e. Lat )

Proof

Step Hyp Ref Expression
1 isolat 
 |-  ( K e. OL <-> ( K e. Lat /\ K e. OP ) )
2 1 simplbi 
 |-  ( K e. OL -> K e. Lat )