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chore(analysis/normed/normed_field): rename normed_field to valued_field #13239

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@mariainesdff mariainesdff commented Apr 8, 2022

We rename the classes normed_division_ring and normed_field to valued_division_ring and valued_field, respectively.
This is so that the old names can be used for classes in which the norm_mul hypothesis is ∀ a b, norm (a * b) ≤ norm a * norm b.
The instance [valued_ring.separated](https://leanprover-community.github.io/mathlib_docs/topology/algebra/valued_field.html#valued_ring.separated) gets renamed to valued.separated, to avoid potential future name conflicts if a valued_ring class is later introduced.


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@mariainesdff mariainesdff added the awaiting-review The author would like community review of the PR label Apr 8, 2022
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There seems to be a consensus on zulip that this is not a desirable move (see for instance https://leanprover.zulipchat.com/#narrow/stream/113488-general/topic/normed_ring.20vs.20normed_field/near/278454583), so I am marking this as WIP for now.

@sgouezel sgouezel added WIP Work in progress and removed awaiting-review The author would like community review of the PR labels Apr 10, 2022
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