Tiny point: I think the comment in ltnsymd 
<http://us.metamath.org/mpegif/ltnsymd.html> could be improved. It says 
"'Less than' implies 'less than or equal to'." which is the same comment as 
the theorem before and I'm not sure it describes it. Maybe it should be 
"Less than implies not greater than." Unless I have misunderstood :)

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