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[Merged by Bors] - feat(ring_theory/witt_vector): Witt vectors are a DVR #12213

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@robertylewis robertylewis commented Feb 22, 2022

This PR adds two connected files. mul_coeff.lean adds an auxiliary result that's used in a few places in #12041 . One of these places is in discrete_valuation_ring.lean, which shows that Witt vectors over a perfect field form a DVR.

Co-authored-by: Heather Macbeth 25316162+hrmacbeth@users.noreply.github.com
Co-authored-by: Johan Commelin johan@commelin.net


Branched from #12041

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@robertylewis robertylewis added the awaiting-review The author would like community review of the PR label Feb 22, 2022
@robertylewis robertylewis changed the title Isocrystal pr dvr feat(ring_theory/witt_vector): Witt vectors over a perfect ring Feb 22, 2022
@hrmacbeth hrmacbeth changed the title feat(ring_theory/witt_vector): Witt vectors over a perfect ring feat(ring_theory/witt_vector): Witt vectors are a DVR Feb 23, 2022
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Can you also update the description?

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I've updated the PR description, renamed the file, and done a little reogranizing!

src/ring_theory/witt_vector/discrete_valuation_ring.lean Outdated Show resolved Hide resolved
src/ring_theory/witt_vector/discrete_valuation_ring.lean Outdated Show resolved Hide resolved
src/ring_theory/witt_vector/mul_coeff.lean Outdated Show resolved Hide resolved
src/ring_theory/witt_vector/mul_coeff.lean Outdated Show resolved Hide resolved
robertylewis and others added 2 commits February 24, 2022 09:46
Co-authored-by: Riccardo Brasca <riccardo.brasca@gmail.com>
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All of the private calculational lemmas were really just used for one theorem. I moved them to all be together, renamed them to _aux*, and unprivatized them.

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LGTM. I think everything above it resolved, but I'll delegate rather than merge so an author can make the final call.

bors d+

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bors bot commented Feb 26, 2022

✌️ robertylewis can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

@github-actions github-actions bot added delegated The PR author may merge after reviewing final suggestions. and removed awaiting-review The author would like community review of the PR labels Feb 26, 2022
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bors merge

@github-actions github-actions bot added the ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) label Feb 27, 2022
bors bot pushed a commit that referenced this pull request Feb 27, 2022
This PR adds two connected files. `mul_coeff.lean` adds an auxiliary result that's used in a few places in #12041 . One of these places is in `discrete_valuation_ring.lean`, which shows that Witt vectors over a perfect field form a DVR.

Co-authored-by: Heather Macbeth <25316162+hrmacbeth@users.noreply.github.com>
Co-authored-by: Johan Commelin <johan@commelin.net>



Co-authored-by: Rob Lewis <rob.y.lewis@gmail.com>
Co-authored-by: Heather Macbeth <25316162+hrmacbeth@users.noreply.github.com>
Co-authored-by: Johan Commelin <johan@commelin.net>
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bors bot commented Feb 27, 2022

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(ring_theory/witt_vector): Witt vectors are a DVR [Merged by Bors] - feat(ring_theory/witt_vector): Witt vectors are a DVR Feb 27, 2022
@bors bors bot closed this Feb 27, 2022
@bors bors bot deleted the isocrystal-pr-dvr branch February 27, 2022 16:32
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5 participants