The pride of life is as much "the world" as the lust of the flesh and the lust of the eyes. the things man desires in order to be fulfilled in this life are what the Bible warns against when it says "Love not the world neither the things that are in the world." (1 John 2:15.)
The pride of life ~ in other words the pride of attainment ~ may include an Olympic gold medal or the state championship, a degree from a prestigious school, a list of letters after your name, association with famous people, a high post in business or government. These are things which are highly esteemed among men. What does the Bible say about them? They are an abomination with God. At best He cares nothing for them. They aren't any more sin than the strength of a horse or the legs of a man (Psalm 147:10.) ~ but if you love them, you love the world, and the love of the Father is not in you.