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Re:Show HN: Build your Linux from Scratch inside Docker with... by eiskalt on Wednesday December 13, 2017 @05:27AM (#15913362)
Yes, that's correct. The goal was to use the whole LFS's system including OS kernel. Docker, AFAIK, uses host's kernel, see info here https://docs.docker.com/get-started/#virtual-machine-diagram

Anyway, it should be possible to build image for docker container if necessary.

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