Which logical fallacy is exemplified by saying a player can only be a star because he plays on a championship team?

The logical fallacy illustrated by the assertion that a player can only be considered a star because he plays on a championship team is known as the fallacy of Division. This fallacy occurs when it is assumed that what is true for the whole must also be true for its individual parts. In this case, the championship team is successful as a whole, and therefore it is incorrectly inferred that every individual player must be a "star" solely based on the team's success.

This reasoning overlooks other possible factors that contribute to a player's status, such as individual skills, contributions to the team's performance, or the context in which they excel. The conclusion drawn fails to consider that not every player on a successful team necessarily possesses star qualities; some may simply be role players or benefit from the overall team dynamics. By evaluating the individual based solely on the team's accolade, the argument collapses into the fallacy of Division.