[Merged by Bors] - feat(CategoryTheory): Exponentiable morphisms#31332
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sinhp wants to merge 133 commits intoleanprover-community:masterfrom
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[Merged by Bors] - feat(CategoryTheory): Exponentiable morphisms#31332sinhp wants to merge 133 commits intoleanprover-community:masterfrom
sinhp wants to merge 133 commits intoleanprover-community:masterfrom
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Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
Mathlib/CategoryTheory/LocallyCartesianClosed/ExponentiableMorphism.lean
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…phism.lean Co-authored-by: Robin Carlier <57142648+robin-carlier@users.noreply.github.com>
…phism.lean Co-authored-by: Robin Carlier <57142648+robin-carlier@users.noreply.github.com>
…phism.lean Co-authored-by: Robin Carlier <57142648+robin-carlier@users.noreply.github.com>
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Thanks!
maintainer merge
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🚀 Pull request has been placed on the maintainer queue by robin-carlier. |
joelriou
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Jan 2, 2026
Mathlib/CategoryTheory/LocallyCartesianClosed/ExponentiableMorphism.lean
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Thanks! bors merge |
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We define an exponentiable morphism `f : I ⟶ J` to be a morphism with a chosen pullback functor `Over J ⥤ Over I` together with a right adjoint, called the pushforward functor. We use this PR in the PR branch `lccc-basic`. ```mermaid graph TD A[ChosenPullbacksAlong.lean] --> A'[Over.lean] A' --> B[Sections.lean] A --> C[ExponentiableMorphism.lean] B --> D[Basic.lean] C --> D D --> E[Types.lean] E --> F[Presheaves.lean] D --> G[Beck-Chevalley.lean] %% Define highlight style classDef highlight fill:#ffe599,stroke:#d4a017,stroke-width:2px; %% Apply to one node class C highlight; ``` Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com> Co-authored-by: Dagur Asgeirsson <dagurtomas@gmail.com>
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Pull request successfully merged into master. Build succeeded! And happy new year! 🎉 |
kim-em
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…1332) We define an exponentiable morphism `f : I ⟶ J` to be a morphism with a chosen pullback functor `Over J ⥤ Over I` together with a right adjoint, called the pushforward functor. We use this PR in the PR branch `lccc-basic`. ```mermaid graph TD A[ChosenPullbacksAlong.lean] --> A'[Over.lean] A' --> B[Sections.lean] A --> C[ExponentiableMorphism.lean] B --> D[Basic.lean] C --> D D --> E[Types.lean] E --> F[Presheaves.lean] D --> G[Beck-Chevalley.lean] %% Define highlight style classDef highlight fill:#ffe599,stroke:#d4a017,stroke-width:2px; %% Apply to one node class C highlight; ``` Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com> Co-authored-by: Dagur Asgeirsson <dagurtomas@gmail.com>
goliath-klein
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…1332) We define an exponentiable morphism `f : I ⟶ J` to be a morphism with a chosen pullback functor `Over J ⥤ Over I` together with a right adjoint, called the pushforward functor. We use this PR in the PR branch `lccc-basic`. ```mermaid graph TD A[ChosenPullbacksAlong.lean] --> A'[Over.lean] A' --> B[Sections.lean] A --> C[ExponentiableMorphism.lean] B --> D[Basic.lean] C --> D D --> E[Types.lean] E --> F[Presheaves.lean] D --> G[Beck-Chevalley.lean] %% Define highlight style classDef highlight fill:#ffe599,stroke:#d4a017,stroke-width:2px; %% Apply to one node class C highlight; ``` Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com> Co-authored-by: Dagur Asgeirsson <dagurtomas@gmail.com>
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We define an exponentiable morphism
f : I ⟶ Jto be a morphism with a chosen pullback functorOver J ⥤ Over Itogether with a right adjoint, called the pushforward functor.We use this PR in the PR branch
lccc-basic.