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[Merged by Bors] - feat: differentials as an object in ModuleCat #14030

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@joelriou joelriou commented Jun 22, 2024

In this PR, given a morphism f : A ⟶ B in the category CommRingCat, and M : ModuleCat B, we define the type M.Derivation f of derivations with values in M relative to f. We also construct the module of differentials CommRingCat.KaehlerDifferential f : ModuleCat B and the corresponding derivation. (These are basically "bundled" versions of the unbundled constructions already in mathlib.)


This is extended to presheaves of modules in #14014.

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github-actions bot commented Jun 22, 2024

PR summary 22a9b26562

Import changes

No significant changes to the import graph


Declarations diff

+ D
+ Derivation
+ KaehlerDifferential
+ SMulCommClass.of_commMonoid
+ d
+ d_add
+ d_map
+ d_mul
+ desc
+ desc_d
+ ext
+ map
+ map_d
+ mk

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

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

@joelriou joelriou added t-category-theory Category theory t-algebraic-geometry Algebraic geometry t-algebra Algebra (groups, rings, fields, etc) awaiting-review labels Jun 22, 2024
@erdOne erdOne added awaiting-author A reviewer has asked the author a question or requested changes and removed awaiting-review labels Jun 23, 2024
@joelriou joelriou added awaiting-review awaiting-CI and removed awaiting-author A reviewer has asked the author a question or requested changes labels Jun 24, 2024
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Thanks @erdOne for the reviews. I could not make certain definitions global instances (because it would break other parts on mathlib), but by declaring them as a local instance in the main file, it works fine.

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Thanks!
maintainer merge

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🚀 Pull request has been placed on the maintainer queue by erdOne.

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Thanks!

bors merge

@github-actions github-actions bot added ready-to-merge This PR has been sent to bors. and removed awaiting-review labels Jun 24, 2024
mathlib-bors bot pushed a commit that referenced this pull request Jun 24, 2024
In this PR, given a morphism `f : A ⟶ B` in the category `CommRingCat`, and `M : ModuleCat B`, we define the type `M.Derivation f` of derivations with values in `M` relative to `f`. We also construct the module of differentials `CommRingCat.KaehlerDifferential f : ModuleCat B` and the corresponding derivation. (These are basically "bundled" versions of the unbundled constructions already in mathlib.)



Co-authored-by: Joël Riou <[email protected]>
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mathlib-bors bot commented Jun 24, 2024

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat: differentials as an object in ModuleCat [Merged by Bors] - feat: differentials as an object in ModuleCat Jun 24, 2024
@mathlib-bors mathlib-bors bot closed this Jun 24, 2024
@mathlib-bors mathlib-bors bot deleted the modulecat-differentials-basic branch June 24, 2024 13:58
kbuzzard pushed a commit that referenced this pull request Jun 26, 2024
In this PR, given a morphism `f : A ⟶ B` in the category `CommRingCat`, and `M : ModuleCat B`, we define the type `M.Derivation f` of derivations with values in `M` relative to `f`. We also construct the module of differentials `CommRingCat.KaehlerDifferential f : ModuleCat B` and the corresponding derivation. (These are basically "bundled" versions of the unbundled constructions already in mathlib.)



Co-authored-by: Joël Riou <[email protected]>
dagurtomas pushed a commit that referenced this pull request Jul 2, 2024
In this PR, given a morphism `f : A ⟶ B` in the category `CommRingCat`, and `M : ModuleCat B`, we define the type `M.Derivation f` of derivations with values in `M` relative to `f`. We also construct the module of differentials `CommRingCat.KaehlerDifferential f : ModuleCat B` and the corresponding derivation. (These are basically "bundled" versions of the unbundled constructions already in mathlib.)



Co-authored-by: Joël Riou <[email protected]>
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3 participants