The phrase is not just a catchy slogan; it is a direct tribute to the legendary 18th-century Thoroughbred , who retired undefeated after 18 races. The motto was coined by his owner, Dennis O'Kelly, during a race where Eclipse won by such a massive margin that the other horses were physically too far back to be officially placed in the standings.

This construction utilizes a chiasmus of action. It pairs the intellectual pursuit ("Trace the path") with the emotional catalyst ("heart of valor"), creating a holistic approach to education that refuses to separate academic rigor from moral courage.

The meaning of this motto is unambiguous: it commands the student to strive for total, unchallenged dominance. To finish first is not enough; a Tracen Academy student must perform so far ahead of all other competitors that her rivals are rendered irrelevant and "nowhere." It is a philosophy that rejects anything less than being the undisputed, unapproachable champion.

: Located in Tokyo, Tracen Academy is a prestigious boarding school that trains Umamusume (horse girls) to compete in the "Twinkle Series".