When the complexity of Reality is studied taking into account all phases from the beginning of the Universe (if such can be conceived of), then many new, innovatory Levels will be shown to have emerged at many different times, which also changed the whole environment. New forms of matter successively emerged from the basic resource of Hydrogen, and doubtless before that the same could be said of pre-Hydrogen forms. From this it is clear that Matter itself has developed, and emergent Levels (in my definition) have proliferated throughout this history, each one significantly changing the environment and changing its potentials.
So, the emergence of Life is only one of many emergent Levels before and since.
How can we characterise this sort of Emergence?