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[Merged by Bors] - feat(GroupTheory/Congruences): add the equiv between congruence relations on a group and its normal subgroup#23269

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[Merged by Bors] - feat(GroupTheory/Congruences): add the equiv between congruence relations on a group and its normal subgroup#23269
xroblot wants to merge 14 commits intomasterfrom
xfr-subgroup_orderIso

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@xroblot xroblot commented Mar 24, 2025

Let G be a group, we prove

{ N : Subgroup G // N.Normal } ≃o Con G

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github-actions bot commented Mar 24, 2025

PR summary 16ac32e820

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ _root_.Con.mem_subgroup_iff
+ _root_.Con.subgroup
+ _root_.Con.subgroup_quotientGroupCon
+ _root_.Subgroup.orderIsoCon
+ con_ker_eq_conKer
+ con_le_iff
+ con_mono
+ con_subgroup
+ instance (c : Con G) : c.subgroup.Normal

You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.


No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh pr_summary
  • The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
  • The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

@github-actions github-actions bot added the t-algebra Algebra (groups, rings, fields, etc) label Mar 24, 2025
@xroblot xroblot added the WIP Work in progress label Mar 24, 2025
@xroblot xroblot removed the WIP Work in progress label Mar 24, 2025
Comment thread Mathlib/GroupTheory/QuotientGroup/Defs.lean Outdated
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This is basically what I was hoping for, thanks!

Comment thread Mathlib/GroupTheory/QuotientGroup/Defs.lean Outdated
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@xroblot xroblot force-pushed the xfr-subgroup_orderIso branch from 9e64191 to 60c8caa Compare March 25, 2025 11:47
Comment thread Mathlib/GroupTheory/QuotientGroup/Defs.lean
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bors d+

Thanks!

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mathlib-bors bot commented Mar 25, 2025

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

@ghost ghost added the delegated This pull request has been delegated to the PR author (or occasionally another non-maintainer). label Mar 25, 2025
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xroblot commented Mar 25, 2025

bors r+

mathlib-bors bot pushed a commit that referenced this pull request Mar 25, 2025
…ions on a group and its normal subgroup (#23269)

Let `G` be a group, we prove
```lean
{ N : Subgroup G // N.Normal } ≃o Con G
```


Co-authored-by: Xavier Roblot <46200072+xroblot@users.noreply.github.com>
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mathlib-bors bot commented Mar 25, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(GroupTheory/Congruences): add the equiv between congruence relations on a group and its normal subgroup [Merged by Bors] - feat(GroupTheory/Congruences): add the equiv between congruence relations on a group and its normal subgroup Mar 25, 2025
@mathlib-bors mathlib-bors bot closed this Mar 25, 2025
@mathlib-bors mathlib-bors bot deleted the xfr-subgroup_orderIso branch March 25, 2025 18:16
Paul-Lez pushed a commit that referenced this pull request Mar 27, 2025
…ions on a group and its normal subgroup (#23269)

Let `G` be a group, we prove
```lean
{ N : Subgroup G // N.Normal } ≃o Con G
```


Co-authored-by: Xavier Roblot <46200072+xroblot@users.noreply.github.com>
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