Movement that held the sexes as being socially, politically and economically equal.
The opposite of the view that the sexes are socially, politically and economically equal is that one is superior - and it is typically the male sex that is seen as superior. Thus, such a movement is based on strengthening female rights.
Therefore I think that this movement is called feminism.
Movement that held the sexes as being socially, politically and economically equal is Womans movement.