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[Merged by Bors] - refactor: Split off basic Nat file#9551

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YaelDillies wants to merge 12 commits intomasterfrom
nat_defs
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[Merged by Bors] - refactor: Split off basic Nat file#9551
YaelDillies wants to merge 12 commits intomasterfrom
nat_defs

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Data.Nat.Basic is currently made of two things:

  • Basic lemmas that continue the theory in Std (and could belong there, really)
  • Basic algebraic order instances

I need the first ones earlier in the algebraic order hierarchy, hence the split.

Part of #9411. Similar to #9443


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`Data.Nat.Basic` is currently made of two things:
* Basic lemmas that continue the theory in Std (and could belong there, really)
* Basic algebraic order instances

I need the first ones earlier in the algebraic order hierarchy, hence the split.

Part of #9411. Similar to #9443
@Parcly-Taxel Parcly-Taxel changed the title refactor: Split off basic Int file refactor: Split off basic Nat file Jan 8, 2024
@jcommelin jcommelin added awaiting-author A reviewer has asked the author a question or requested changes. and removed awaiting-review labels Jan 9, 2024
YaelDillies and others added 4 commits January 9, 2024 10:50
Co-authored-by: Johan Commelin <johan@commelin.net>
Co-authored-by: Johan Commelin <johan@commelin.net>
Co-authored-by: Johan Commelin <johan@commelin.net>
Co-authored-by: Johan Commelin <johan@commelin.net>
@ghost ghost added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Jan 9, 2024
@ghost ghost removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Jan 9, 2024
@YaelDillies YaelDillies added awaiting-review and removed awaiting-author A reviewer has asked the author a question or requested changes. labels Jan 9, 2024
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Thanks 🎉

bors merge

@ghost ghost added ready-to-merge This PR has been sent to bors. and removed awaiting-review labels Jan 10, 2024
mathlib-bors bot pushed a commit that referenced this pull request Jan 10, 2024
`Data.Nat.Basic` is currently made of two things:
* Basic lemmas that continue the theory in Std (and could belong there, really)
* Basic algebraic order instances

I need the first ones earlier in the algebraic order hierarchy, hence the split.

Part of #9411. Similar to #9443
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mathlib-bors bot commented Jan 10, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title refactor: Split off basic Nat file [Merged by Bors] - refactor: Split off basic Nat file Jan 10, 2024
@mathlib-bors mathlib-bors bot closed this Jan 10, 2024
@mathlib-bors mathlib-bors bot deleted the nat_defs branch January 10, 2024 09:09
mathlib-bors bot pushed a commit that referenced this pull request Jan 30, 2024
`Algebra.GroupPower.Lemmas` used to be a big bag of lemmas that made it there on the criterion that they needed "more imports". This was completely untrue, as all lemmas could be moved to earlier files in PRs:
- #9440
- #9442
- #9443
- #9455
- #9456
- #9457
- #9459
- #9461
- #9463
- #9466
- #9501
- #9502
- #9503
- #9505
- #9551
- #9553
- #9720
- #9739
- #9740
- #9805
- #9806
- and this one

There are several reasons for this:
* Necessary lemmas have been moved to earlier files since lemmas were dumped in `Algebra.GroupPower.Lemmas`
* In the Lean 3 → Lean 4 transition, Std acquired basic `Int` and `Nat` lemmas which let us shortcircuit the part of the algebraic order hierarchy on which the corresponding general lemmas rest
* Some proofs were overpowered
* Some earlier files were tangled and I have untangled them

This PR finishes the job by moving the last few lemmas out of `Algebra.GroupPower.Lemmas`, which is therefore deleted.
mathlib-bors bot pushed a commit that referenced this pull request Jan 30, 2024
`Algebra.GroupPower.Lemmas` used to be a big bag of lemmas that made it there on the criterion that they needed "more imports". This was completely untrue, as all lemmas could be moved to earlier files in PRs:
- #9440
- #9442
- #9443
- #9455
- #9456
- #9457
- #9459
- #9461
- #9463
- #9466
- #9501
- #9502
- #9503
- #9505
- #9551
- #9553
- #9720
- #9739
- #9740
- #9805
- #9806
- and this one

There are several reasons for this:
* Necessary lemmas have been moved to earlier files since lemmas were dumped in `Algebra.GroupPower.Lemmas`
* In the Lean 3 → Lean 4 transition, Std acquired basic `Int` and `Nat` lemmas which let us shortcircuit the part of the algebraic order hierarchy on which the corresponding general lemmas rest
* Some proofs were overpowered
* Some earlier files were tangled and I have untangled them

This PR finishes the job by moving the last few lemmas out of `Algebra.GroupPower.Lemmas`, which is therefore deleted.
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