Make docker file from local image?

Question

I have docker file which make image.

FROM public.ecr.aws/lambda/python:3.9

RUN export LANG=en_US.UTF-8
RUN export PYTHONUNBUFFERED=1 

docker build -f dockers/mydocker -t python .

then I would like to make images from this image.

There are listed image named basic docker images

Then in another Dockerfile.

FROM python
ADD ./Pipfile* ./
RUN pipenv install --ignore-pipfile 

When I try to build this dockerfile

There comes like this

FROM docker.io/library/python

Does this mean I can use local image to build next image?

I need to make local repository for this purpose ??

Or any other way to do this??