Why did the building the dome allow Florentine's to consider themselves equal to Rome?

The construction of the dome of Florence's Cathedral, designed by Filippo Brunelleschi, symbolized a remarkable achievement in engineering and artistry, showcasing the city's innovation and creative spirit. Its grandeur rivaled that of ancient Roman architecture, allowing Florentines to draw parallels between their own city and the historical prestige of Rome. This monumental feat not only demonstrated their architectural prowess but also fostered a sense of civic pride and cultural independence, reinforcing their identity as an equal to the great Roman legacy. Ultimately, it marked a significant moment in the Renaissance, highlighting Florence's emergence as a center of art and intellect.