Conversation so far:
who led the mexican army in the battle of puebla
Led by General Ignacio Zaragoza, an estimated 2,000—5,000 Mexicans fortified the town and prepared for the assault by the well-equipped French force.
is the battle of puebla related to cinco de mayo
Cinco de Mayo commemorates the Mexican army's unlikely victory over the French forces of Napoleon III on May 5, 1862, at the Battle of Puebla.
why was the battle of puebla important
Over time, the Battle of Puebla grew in national significance. The victory strengthened the morale of a very young Mexico and became the rallying cry of resistance to foreign domination.
is cinco de mayo mexican independence day
Cinco de Mayo commemorates the anniversary of an early victory in the Battle of Puebla on May 5, 1862. It is not, as is often assumed, Mexico's Independence Day.

Question: what is the country's independence day called
Self-contained rewrite: what is mexico's independence day called