Leadership is a process of social influence which maximizes the efforts of others toward the achievement of a greater good.
Notice the key elements of this definition:
Leadership stems from social influence, not authority or power.
Leadership requires others, and that implies they don’t need to be “direct reports.”
No mention of personality traits, attributes, or even a title; there are many styles, many paths to effective leadership.
It includes a greater good, not influence with no intended outcome.