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[Merged by Bors] - feat(group_theory/perm/basic): Bundle sigma_congr_right and sum_congr into monoid_homs #5301

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@eric-wieser eric-wieser commented Dec 10, 2020

This makes the corresponding subgroups available as monoid_hom.range.

As a result, the old subgroup definitions can be removed.

This also adds injectivity and cardinality lemmas.


This PR is an alternative to a replacement for #5279

@eric-wieser eric-wieser changed the title feat(gruop_theory/perm/basic): Bundle sigma_congr_right and sum_congr into monoid_homs feat(group_theory/perm/basic): Bundle sigma_congr_right and sum_congr into monoid_homs Dec 10, 2020
@eric-wieser eric-wieser added the awaiting-review The author would like community review of the PR label Dec 10, 2020
@github-actions github-actions bot added the merge-conflict Please `git merge origin/master` then a bot will remove this label. label Dec 10, 2020
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Shall we close this PR since the alternative got merged?

@eric-wieser eric-wieser added WIP Work in progress and removed awaiting-review The author would like community review of the PR labels Dec 14, 2020
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eric-wieser commented Dec 14, 2020

I think I've found that actually this version was the better choice, as it made expressing fintype.card (sum_congr_hom.range) much easier that that alternative PR made it. I'll revive it once I get #5269 working, which was the motivation for this.

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I've gotten #5269 working, and concluded I do want this - but it will be tidier with #5368 and #5371 in first.

@eric-wieser eric-wieser added blocked-by-other-PR This PR depends on another PR which is still in the queue. A bot manages this label via PR comment. and removed WIP Work in progress labels Dec 14, 2020
@github-actions github-actions bot removed the blocked-by-other-PR This PR depends on another PR which is still in the queue. A bot manages this label via PR comment. label Dec 15, 2020
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🎉 Great news! Looks like all the dependencies have been resolved:

💡 To add or remove a dependency please update this issue/PR description.

Brought to you by Dependent Issues (:robot: ). Happy coding!

@github-actions github-actions bot removed the merge-conflict Please `git merge origin/master` then a bot will remove this label. label Dec 15, 2020
@eric-wieser eric-wieser added the awaiting-review The author would like community review of the PR label Dec 15, 2020
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Thanks!

bors r+

@github-actions github-actions bot added ready-to-merge All that is left is for bors to build and merge this PR. (Remember you need to say `bors r+`.) and removed awaiting-review The author would like community review of the PR labels Dec 15, 2020
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bors bot commented Dec 15, 2020

Canceled.


instance sigma_congr_right_subgroup.decidable_mem {α : Type*} {β : α → Type*}
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This lemma isn't needed any more now that we have monoid_hom.decidable_mem_range

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Looks like our streams crossed there - I just pushed a golf that I missed.

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I saw "eric-wieser added the awaiting-review label 6 minutes ago" and thought you were ready. Let me know when you're done, and we can get it merged.

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I'm done - I realized after double checking that I had forgotten to push one of my files.

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bors r+

bors bot pushed a commit that referenced this pull request Dec 15, 2020
… into monoid_homs (#5301)

This makes the corresponding subgroups available as `monoid_hom.range`.

As a result, the old subgroup definitions can be removed.

This also adds injectivity and cardinality lemmas.
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bors bot commented Dec 15, 2020

Pull request successfully merged into master.

Build succeeded:

@bors bors bot changed the title feat(group_theory/perm/basic): Bundle sigma_congr_right and sum_congr into monoid_homs [Merged by Bors] - feat(group_theory/perm/basic): Bundle sigma_congr_right and sum_congr into monoid_homs Dec 15, 2020
@bors bors bot closed this Dec 15, 2020
@bors bors bot deleted the eric-wieser/perm-homs branch December 15, 2020 13:31
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