[Merged by Bors] - feat(CategoryTheory/Monoidal/Action): action of opposite categories#25861
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robin-carlier wants to merge 73 commits intoleanprover-community:masterfrom
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[Merged by Bors] - feat(CategoryTheory/Monoidal/Action): action of opposite categories#25861robin-carlier wants to merge 73 commits intoleanprover-community:masterfrom
robin-carlier wants to merge 73 commits intoleanprover-community:masterfrom
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Hello from the triage team. This PR has been awaiting review for four weeks. |
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Thanks! bors merge |
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…25861) Given a monoidal category `C` and a category `D`, we show that left (resp. right) `C`-actions on `D` induce left (resp. right) `Cᵒᵖ`-actions on `Dᵒᵖ`. Conversely, we show that left/right actions of `Cᵒᵖ` on `Dᵒᵖ` induce left/right actions of `C` on `D`.
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CBirkbeck
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Sep 8, 2025
…eanprover-community#25861) Given a monoidal category `C` and a category `D`, we show that left (resp. right) `C`-actions on `D` induce left (resp. right) `Cᵒᵖ`-actions on `Dᵒᵖ`. Conversely, we show that left/right actions of `Cᵒᵖ` on `Dᵒᵖ` induce left/right actions of `C` on `D`.
yuanyi-350
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Sep 10, 2025
…eanprover-community#25861) Given a monoidal category `C` and a category `D`, we show that left (resp. right) `C`-actions on `D` induce left (resp. right) `Cᵒᵖ`-actions on `Dᵒᵖ`. Conversely, we show that left/right actions of `Cᵒᵖ` on `Dᵒᵖ` induce left/right actions of `C` on `D`.
robertmaxton42
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Sep 11, 2025
…eanprover-community#25861) Given a monoidal category `C` and a category `D`, we show that left (resp. right) `C`-actions on `D` induce left (resp. right) `Cᵒᵖ`-actions on `Dᵒᵖ`. Conversely, we show that left/right actions of `Cᵒᵖ` on `Dᵒᵖ` induce left/right actions of `C` on `D`.
joelriou
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Oct 2, 2025
…eanprover-community#25861) Given a monoidal category `C` and a category `D`, we show that left (resp. right) `C`-actions on `D` induce left (resp. right) `Cᵒᵖ`-actions on `Dᵒᵖ`. Conversely, we show that left/right actions of `Cᵒᵖ` on `Dᵒᵖ` induce left/right actions of `C` on `D`.
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Given a monoidal category
Cand a categoryD, we show that left (resp. right)C-actions onDinduce left (resp. right)Cᵒᵖ-actions onDᵒᵖ. Conversely, we show that left/right actions ofCᵒᵖonDᵒᵖinduce left/right actions ofConD.