Fossil records show a increasing complexity of life forms, starting with simple single celled organisms and progressing to more complex and diverse types and species of animals. It doesn't support simultaneous appearance of all species at once.
That may or may not be true and may be as much evidence of incremental design as some other kind of process. What it DOESN'T prove is transference which is essential to evolution as the explanation for the origin of all living things.
” . . .starting with simple single celled organisms . . ..”
There is nothing “simple” about the protoplasmic substance of an amoeba. It is biochemically complex well nigh beyond human comprehension.
Which leads to the question, from whence the phenomenon we call “life?” Creationists say God created, and proceed to study what He created, trying to explain and understand whatever can be known about them, classify living entities, etc., etc.. Evolutionists likewise, but for their lack of an answer to the initial question.