The women were equal to men in the Haudenosaunee group because they were a matriarchy. That means a social organization where every or most of the powers derive from women and/or femininity.
Explanation:
In the Haudenosaunee matriarchy, families followed a matrilineal system: children and property passed on according to their mothers, not fathers. When a couple married, the man came to live in the woman's family house, not the other way around.
It was a clan of mothers that appointed leaders and could discard leaders. Women had rights to their property and the products of their work.
The incorporation doctrine is a constitutional doctrine through which the first ten amendments of the United States Constitution (known as the Bill of Rights) are made applicable to the states through the Due Process clause of the Fourteenth Amendment. Incorporation applies both substantively and procedurally.