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[Merged by Bors] - feat(Mathlib.RingTheory.FractionalIdeal.Extended): Define extensions of fractional ideals#14216

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[Merged by Bors] - feat(Mathlib.RingTheory.FractionalIdeal.Extended): Define extensions of fractional ideals#14216
js2357 wants to merge 11 commits intomasterfrom
js2357/Extended

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@js2357 js2357 commented Jun 28, 2024

Define the extension of a fractional ideal along a ring homomorphism, and prove some basic facts about extensions.

This PR is part 2/4 of a proof of isDedekindDomain_iff_isDedekindDomainDvr.
Part 1: #14099
Part 3: #14237
Part 4: #14242


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@github-actions github-actions bot added the new-contributor This PR was made by a contributor with at most 5 merged PRs. Welcome to the community! label Jun 28, 2024
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github-actions bot commented Jun 28, 2024

PR summary 49461bc986

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference
Mathlib.RingTheory.FractionalIdeal.Extended 1017

Declarations diff

+ coe_extended_eq_span
+ extended
+ extended_add
+ extended_mul
+ extended_one
+ extended_zero
+ mem_add
+ mem_extended_iff

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.

@js2357 js2357 added awaiting-review t-algebra Algebra (groups, rings, fields, etc) labels Jun 28, 2024
@ghost ghost added the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Jun 28, 2024
mathlib-bors bot pushed a commit that referenced this pull request Jun 30, 2024
Prove five lemmas about fractional ideals (zero_mem, fg_of_isNoetherianRing, den_mem_inv, num_le_mul_inv, bot_lt_mul_inv). 

This is part 1/4 of a proof of `isDedekindDomain_iff_isDedekindDomainDvr`. 
Part 2: #14216
Part 3: #14237
Part 4: #14242
@ghost ghost removed the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Jun 30, 2024
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ghost commented Jun 30, 2024

This PR/issue depends on:

@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 Jun 30, 2024
dagurtomas pushed a commit that referenced this pull request Jul 2, 2024
Prove five lemmas about fractional ideals (zero_mem, fg_of_isNoetherianRing, den_mem_inv, num_le_mul_inv, bot_lt_mul_inv). 

This is part 1/4 of a proof of `isDedekindDomain_iff_isDedekindDomainDvr`. 
Part 2: #14216
Part 3: #14237
Part 4: #14242
@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 Jul 28, 2024
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Nice work! Some comments below.

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bors merge

@github-actions github-actions bot added the ready-to-merge This PR has been sent to bors. label Aug 21, 2024
mathlib-bors bot pushed a commit that referenced this pull request Aug 21, 2024
…of fractional ideals (#14216)

Define the extension of a fractional ideal along a ring homomorphism, and prove some basic facts about extensions.

This PR is part 2/4 of a proof of `isDedekindDomain_iff_isDedekindDomainDvr`.
Part 1: #14099
Part 3: #14237
Part 4: #14242

- [x] depends on: #14099
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mathlib-bors bot commented Aug 21, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(Mathlib.RingTheory.FractionalIdeal.Extended): Define extensions of fractional ideals [Merged by Bors] - feat(Mathlib.RingTheory.FractionalIdeal.Extended): Define extensions of fractional ideals Aug 21, 2024
@mathlib-bors mathlib-bors bot closed this Aug 21, 2024
@mathlib-bors mathlib-bors bot deleted the js2357/Extended branch August 21, 2024 12:05
bjoernkjoshanssen pushed a commit that referenced this pull request Sep 9, 2024
…of fractional ideals (#14216)

Define the extension of a fractional ideal along a ring homomorphism, and prove some basic facts about extensions.

This PR is part 2/4 of a proof of `isDedekindDomain_iff_isDedekindDomainDvr`.
Part 1: #14099
Part 3: #14237
Part 4: #14242

- [x] depends on: #14099
bjoernkjoshanssen pushed a commit that referenced this pull request Sep 9, 2024
…of fractional ideals (#14216)

Define the extension of a fractional ideal along a ring homomorphism, and prove some basic facts about extensions.

This PR is part 2/4 of a proof of `isDedekindDomain_iff_isDedekindDomainDvr`.
Part 1: #14099
Part 3: #14237
Part 4: #14242

- [x] depends on: #14099
bjoernkjoshanssen pushed a commit that referenced this pull request Sep 12, 2024
…of fractional ideals (#14216)

Define the extension of a fractional ideal along a ring homomorphism, and prove some basic facts about extensions.

This PR is part 2/4 of a proof of `isDedekindDomain_iff_isDedekindDomainDvr`.
Part 1: #14099
Part 3: #14237
Part 4: #14242

- [x] depends on: #14099
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