You have quoted the exact rule you need to rule on this play. You are just misunderstanding the term "position". By pushing off of the other player whether it is with arms or feet he has improved his position on the field by using a teammate. This is the same as if he would sit on the teammate's shoulders to try to block the kick. If a player is to do anything on the field then he is to do it without the help of another player to gain an advantage.
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