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[Merged by Bors] - feat(CategoryTheory/Monoidal/Action): monoidal right actions#25840

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[Merged by Bors] - feat(CategoryTheory/Monoidal/Action): monoidal right actions#25840
robin-carlier wants to merge 37 commits intoleanprover-community:masterfrom
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@robin-carlier robin-carlier commented Jun 13, 2025

We introduce the notion of a right action of a monoidal category C on a category D. This notion is formally conjugate to that of a left action introduced in #25761, and so are every results in this PR. Please refer to #25761 for a more detailed overview of the notion. The notion comes with its set of notations.

We show basic simp lemmas for these objects, and we show that any monoidal category acts on the right on itself.


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@robin-carlier robin-carlier added the t-category-theory Category theory label Jun 13, 2025
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github-actions bot commented Jun 13, 2025

PR summary ffbf9db0c1

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference

Declarations diff

+ MonoidalRightAction
+ MonoidalRightActionStruct
+ actionAssocIso_inv_naturality
+ actionAssocNatIso
+ actionHomLeft_tensor
+ actionHomRight_comp
+ actionHomRight_hom_inv
+ actionHomRight_hom_inv'
+ actionHomRight_inv_hom
+ actionHomRight_inv_hom'
+ actionHom_def'
+ actionHom_id
+ actionLeft
+ actionRight
+ actionUnitIso_inv_naturality
+ actionUnitNatIso
+ action_actionHomRight
+ action_exchange
+ comp_actionHomLeft
+ curriedAction
+ hom_inv_actionHomLeft
+ hom_inv_actionHomLeft'
+ id_actionHom
+ inv_actionHom
+ inv_actionHomLeft
+ inv_actionHomRight
+ inv_hom_actionHomLeft
+ inv_hom_actionHomLeft'
+ isIso_actionHom
+ isIso_actionHomLeft
+ isIso_actionHomRight
+ selRightfAction
+ selfLeftAction
+ unit_actionHomRight

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).

@mathlib4-dependent-issues-bot mathlib4-dependent-issues-bot added the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Jun 13, 2025
@robin-carlier robin-carlier force-pushed the monoidal-right-actions branch from d6644ee to da805b7 Compare June 13, 2025 19:55
@mathlib4-dependent-issues-bot mathlib4-dependent-issues-bot removed the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Jun 17, 2025
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Thanks!

bors merge

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Jun 22, 2025
mathlib-bors bot pushed a commit that referenced this pull request Jun 22, 2025
We introduce the notion of a right action of a monoidal category `C` on a category `D`. This notion is formally conjugate to that of a left action introduced in #25761, and so are every results in this PR. Please refer to #25761 for a more detailed overview of the notion. The notion comes with its set of notations.

We show basic simp lemmas for these objects, and we show that any monoidal category acts on the right on itself.
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mathlib-bors bot commented Jun 22, 2025

Build failed:

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bors cancel

You may have to merge again with master, because there are errors due to a new whitespace linter.

@robin-carlier robin-carlier added the awaiting-CI This PR does not pass CI yet. This label is automatically removed once it does. label Jun 22, 2025
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I’ve fixed the whitespaces and merged master just in case.

@github-actions github-actions bot removed the awaiting-CI This PR does not pass CI yet. This label is automatically removed once it does. label Jun 22, 2025
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Thanks!

bors merge

mathlib-bors bot pushed a commit that referenced this pull request Jun 22, 2025
We introduce the notion of a right action of a monoidal category `C` on a category `D`. This notion is formally conjugate to that of a left action introduced in #25761, and so are every results in this PR. Please refer to #25761 for a more detailed overview of the notion. The notion comes with its set of notations.

We show basic simp lemmas for these objects, and we show that any monoidal category acts on the right on itself.
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mathlib-bors bot commented Jun 22, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory/Monoidal/Action): monoidal right actions [Merged by Bors] - feat(CategoryTheory/Monoidal/Action): monoidal right actions Jun 22, 2025
@mathlib-bors mathlib-bors bot closed this Jun 22, 2025
Rida-Hamadani pushed a commit to Rida-Hamadani/mathlib4 that referenced this pull request Jun 24, 2025
…ver-community#25840)

We introduce the notion of a right action of a monoidal category `C` on a category `D`. This notion is formally conjugate to that of a left action introduced in leanprover-community#25761, and so are every results in this PR. Please refer to leanprover-community#25761 for a more detailed overview of the notion. The notion comes with its set of notations.

We show basic simp lemmas for these objects, and we show that any monoidal category acts on the right on itself.
joelriou pushed a commit to joelriou/mathlib4 that referenced this pull request Jul 7, 2025
…ver-community#25840)

We introduce the notion of a right action of a monoidal category `C` on a category `D`. This notion is formally conjugate to that of a left action introduced in leanprover-community#25761, and so are every results in this PR. Please refer to leanprover-community#25761 for a more detailed overview of the notion. The notion comes with its set of notations.

We show basic simp lemmas for these objects, and we show that any monoidal category acts on the right on itself.
callesonne pushed a commit to callesonne/mathlib4 that referenced this pull request Jul 24, 2025
…ver-community#25840)

We introduce the notion of a right action of a monoidal category `C` on a category `D`. This notion is formally conjugate to that of a left action introduced in leanprover-community#25761, and so are every results in this PR. Please refer to leanprover-community#25761 for a more detailed overview of the notion. The notion comes with its set of notations.

We show basic simp lemmas for these objects, and we show that any monoidal category acts on the right on itself.
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