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integrally_closedness

'Hello world' project in Lean.

This is a work in progress - currently I'm proving equivalences between different definitions for what it means for an integral domain to be integrally closed.

The next step would be to implement Neukirch's definition of a Dedekind domain: an integral domain that is Noetherian, integrally closed, and in which every nonzero prime ideal is maximal.