Former Pima County Supervisor Adelita Grijalva, daughter of late Democratic Arizona Rep. Raul Grijalva, won the Democratic Party primary in a special election to take her father's seat.

Grijalva won the primary election for Arizona's 7th Congressional District on Tuesday, according to The Associated Press. She beat four other candidates in the heavily blue district.

The Democratic candidate thanked her late father for showing her "that this is how you do this work," adding that she "stands on the shoulders of giants," Fox News reported. She also said in her victory speech that "this campaign was about talking about the importance of giving voice to this community. It was not about an individual. It was not about social media likes."

Grijalva received endorsements from Democratic Arizona Sens. Kelly and Ruben Gallego, state Attorney General Kris Mayes, and former Rep. Gabrielle Giffords. 

She is considered to be the frontrunner in the Sept. 23 special election over GOP nominee Daniel Butierez, in the race to serve the final 15 months of her father's term. He died in March from cancer treatment complications.