Rob, saying arrows is not mentioned would  be a correct statment.
Saying he had no arrows is adding to the verse.
 
Rev 6:2  And I saw, and behold a white horse: and he that sat on him had a bow; and a crown was given unto him: and he went forth conquering, and to conquer.
 
Cheers John Too

PS
Rob, I'm not adding words to scripture which you must know, you read my letter.
The verse in question dosn't mention arrows, and one going out to conquer having a bow could possibly imply he has arrows also.
Going out to hunt boar with a 30/30 rifle could not be done if the rifle has no bullets.
You say emphatically that the rider has no arrows, that's adding to the verse, is it not?