Layers are pulled. If foolang image has: layer c layer d layer e And then fooadmin image is FROM foolang:latest (and the more stuff) and builds t

Layers are pulled. If foolang image has: layer c layer d layer e And then fooadmin image is FROM foolang:latest (and the more stuff) and builds the layers: layer f layer g ... then a user pulling fooadmin pulls layers g,f,e,d,c,b,a (b and a being layers provided by the image that foolang was built on top of). The question is then "does the pull of layer e in docker pull foo admin count as part of docker pull foolang?"