[Merged by Bors] - feat(CategoryTheory): sheaf categories are cartesian closed#15262
Closed
dagurtomas wants to merge 22 commits intomasterfrom
Closed
[Merged by Bors] - feat(CategoryTheory): sheaf categories are cartesian closed#15262dagurtomas wants to merge 22 commits intomasterfrom
dagurtomas wants to merge 22 commits intomasterfrom
Conversation
Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
PR summary f693fbd28c
|
| Files | Import difference |
|---|---|
Mathlib.CategoryTheory.Limits.FunctorCategoryEpiMono |
-534 |
Mathlib.CategoryTheory.Limits.FunctorCategory |
-388 |
59 filesMathlib.Geometry.RingedSpace.PresheafedSpace.Gluing Mathlib.AlgebraicGeometry.Modules.Sheaf Mathlib.CategoryTheory.Sites.Pullback Mathlib.CategoryTheory.Sites.SheafHom Mathlib.Geometry.Manifold.Sheaf.Basic Mathlib.AlgebraicGeometry.Modules.Presheaf Mathlib.Topology.Sheaves.SheafCondition.Sites Mathlib.Topology.Sheaves.SheafCondition.UniqueGluing Mathlib.Algebra.Category.ModuleCat.Sheaf.Colimits Mathlib.Algebra.Category.ModuleCat.Sheaf Mathlib.Algebra.Category.ModuleCat.Sheaf.Free Mathlib.AlgebraicGeometry.Spec Mathlib.CategoryTheory.Sites.InducedTopology Mathlib.Topology.Sheaves.LocalPredicate Mathlib.Topology.Sheaves.SheafCondition.OpensLeCover Mathlib.Algebra.Category.ModuleCat.Sheaf.ChangeOfRings Mathlib.Geometry.RingedSpace.OpenImmersion Mathlib.Algebra.Category.ModuleCat.Sheaf.Limits Mathlib.AlgebraicGeometry.Modules.Tilde Mathlib.Geometry.RingedSpace.Basic Mathlib.Topology.Sheaves.SheafCondition.EqualizerProducts Mathlib.Geometry.Manifold.Sheaf.Smooth Mathlib.AlgebraicGeometry.StructureSheaf Mathlib.CategoryTheory.Sites.Coherent.LocallySurjective Mathlib.AlgebraicGeometry.ProjectiveSpectrum.StructureSheaf Mathlib.Algebra.Category.ModuleCat.Sheaf.Generators Mathlib.Algebra.Category.ModuleCat.Sheaf.Abelian Mathlib.CategoryTheory.Sites.Coherent.Equivalence Mathlib.Geometry.RingedSpace.SheafedSpace Mathlib.AlgebraicGeometry.OpenImmersion Mathlib.Topology.Sheaves.SheafOfFunctions Mathlib.Geometry.RingedSpace.LocallyRingedSpace Mathlib.Topology.Sheaves.LocallySurjective Mathlib.CategoryTheory.Sites.Equivalence Mathlib.Geometry.RingedSpace.Stalks Mathlib.Geometry.RingedSpace.LocallyRingedSpace.ResidueField Mathlib.AlgebraicGeometry.Scheme Mathlib.AlgebraicGeometry.Gluing Mathlib.Topology.Sheaves.Functors Mathlib.CategoryTheory.Sites.Over Mathlib.CategoryTheory.Sites.DenseSubsite Mathlib.AlgebraicGeometry.Cover.Open Mathlib.Topology.Sheaves.Operations Mathlib.Algebra.Category.ModuleCat.Presheaf.Sheafification Mathlib.CategoryTheory.Sites.PreservesLocallyBijective Mathlib.Topology.Sheaves.Skyscraper Mathlib.CategoryTheory.Sites.Discrete Mathlib.Topology.Sheaves.SheafCondition.PairwiseIntersections Mathlib.Geometry.Manifold.Sheaf.LocallyRingedSpace Mathlib.Topology.Sheaves.PUnit Mathlib.AlgebraicGeometry.Restrict Mathlib.CategoryTheory.Sites.Coherent.SheafComparison Mathlib.Algebra.Category.ModuleCat.Sheaf.PushforwardContinuous Mathlib.Topology.Sheaves.Sheafify Mathlib.Algebra.Category.ModuleCat.Presheaf.Sheafify Mathlib.Algebra.Category.ModuleCat.Sheaf.Quasicoherent Mathlib.Geometry.RingedSpace.LocallyRingedSpace.HasColimits Mathlib.Topology.Sheaves.Stalks Mathlib.CategoryTheory.Sites.CoverLifting |
1 |
16 filesMathlib.Geometry.RingedSpace.PresheafedSpace.HasColimits Mathlib.CategoryTheory.Sites.EpiMono Mathlib.CategoryTheory.Sites.LocallySurjective Mathlib.CategoryTheory.Sites.LocallyFullyFaithful Mathlib.CategoryTheory.Sites.PreservesSheafification Mathlib.CategoryTheory.Sites.Abelian Mathlib.CategoryTheory.Sites.Localization Mathlib.CategoryTheory.Sites.ConstantSheaf Mathlib.CategoryTheory.Sites.LocallyInjective Mathlib.CategoryTheory.Sites.Limits Mathlib.CategoryTheory.Sites.LeftExact Mathlib.CategoryTheory.Sites.Sheafification Mathlib.Topology.Sheaves.Limits Mathlib.CategoryTheory.Sites.MayerVietorisSquare Mathlib.CategoryTheory.Sites.LocallyBijective Mathlib.CategoryTheory.Sites.Adjunction |
2 |
Mathlib.CategoryTheory.Limits.FunctorCategory.Basic |
388 |
Mathlib.CategoryTheory.Limits.FunctorCategory.Finite |
516 |
Mathlib.CategoryTheory.Limits.FunctorCategory.EpiMono |
534 |
Mathlib.CategoryTheory.Sites.CartesianClosed |
716 |
Mathlib.Condensed.CartesianClosed |
1563 |
Mathlib.Condensed.Light.Limits |
1585 |
Mathlib.Condensed.Light.CartesianClosed |
1598 |
Declarations diff
+ cartesianClosedFunctorToTypes
+ instance (C : Type u) [Category.{v} C] [EssentiallySmall.{w} C] : EssentiallySmall.{w} Cᵒᵖ
+ instance : CartesianClosed (CondensedSet.{u}) := inferInstanceAs (CartesianClosed (Sheaf _ _))
+ instance : CartesianClosed (LightCondSet.{u}) := inferInstanceAs (CartesianClosed (Sheaf _ _))
+ instance : HasFiniteLimits (LightCondMod.{u} R) := hasFiniteLimits_of_hasLimitsOfSize _
+ instance : HasFiniteLimits LightCondSet.{u} := hasFiniteLimits_of_hasLimitsOfSize _
+ instance : HasLimitsOfSize.{u, u} (LightCondMod.{u} R) := by
+ instance : HasLimitsOfSize.{u, u} LightCondSet.{u} := by
+ instance [HasFiniteColimits C] : HasFiniteColimits (K ⥤ C) := ⟨fun _ ↦ inferInstance⟩
+ instance [HasFiniteCoproducts C] : HasFiniteCoproducts (K ⥤ C) := ⟨inferInstance⟩
+ instance [HasFiniteLimits C] : HasFiniteLimits (K ⥤ C) := ⟨fun _ ↦ inferInstance⟩
+ instance [HasFiniteProducts C] : HasFiniteProducts (K ⥤ C) := ⟨inferInstance⟩
+ instance [HasSheafify J A] : PreservesFiniteLimits (reflector (sheafToPresheaf J A))
+ instance [HasSheafify J A] [HasFiniteProducts A] [CartesianClosed (Cᵒᵖ ⥤ A)] :
+ instance [HasWeakSheafify J A] : Reflective (sheafToPresheaf J A)
+ instance {C : Type u₁} [Category.{v₁} C] : CartesianClosed (C ⥤ Type (max u₁ v₁))
+ instance {C : Type u₁} [Category.{v₁} C] [EssentiallySmall.{v₁} C] :
- instance : HasFiniteProducts (Type v₁)
- instance {C : Type u₁} [Category.{v₁} C] : HasFiniteProducts (C ⥤ Type u₂)
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.
jcommelin
reviewed
Aug 23, 2024
Member
jcommelin
left a comment
There was a problem hiding this comment.
Thanks! This looks good.
Could you please create a directory
Mathlib/CategoryTheory/Limits/FunctorCategory
and in that create-move the files Basic.lean and Finite.lean?
Otherwise, LGTM!
bors d+
Contributor
|
✌️ dagurtomas can now approve this pull request. To approve and merge a pull request, simply reply with |
Contributor
Author
|
Thanks! bors merge |
mathlib-bors bot
pushed a commit
that referenced
this pull request
Aug 23, 2024
... under some assumptions on the target category. We apply this to conclude that condensed sets and light condensed sets are cartesian closed. Co-authored-by: Sina Hazratpour @sinhp Co-authored-by: Jon Eugster @joneugster This is adapted from work done at the Copenhagen masterclass on formalisation of condensed mathematics in 2023.
Contributor
|
Pull request successfully merged into master. Build succeeded: |
bjoernkjoshanssen
pushed a commit
that referenced
this pull request
Sep 9, 2024
... under some assumptions on the target category. We apply this to conclude that condensed sets and light condensed sets are cartesian closed. Co-authored-by: Sina Hazratpour @sinhp Co-authored-by: Jon Eugster @joneugster This is adapted from work done at the Copenhagen masterclass on formalisation of condensed mathematics in 2023.
bjoernkjoshanssen
pushed a commit
that referenced
this pull request
Sep 9, 2024
... under some assumptions on the target category. We apply this to conclude that condensed sets and light condensed sets are cartesian closed. Co-authored-by: Sina Hazratpour @sinhp Co-authored-by: Jon Eugster @joneugster This is adapted from work done at the Copenhagen masterclass on formalisation of condensed mathematics in 2023.
bjoernkjoshanssen
pushed a commit
that referenced
this pull request
Sep 12, 2024
... under some assumptions on the target category. We apply this to conclude that condensed sets and light condensed sets are cartesian closed. Co-authored-by: Sina Hazratpour @sinhp Co-authored-by: Jon Eugster @joneugster This is adapted from work done at the Copenhagen masterclass on formalisation of condensed mathematics in 2023.
This file contains hidden or bidirectional Unicode text that may be interpreted or compiled differently than what appears below. To review, open the file in an editor that reveals hidden Unicode characters.
Learn more about bidirectional Unicode characters
Sign up for free
to join this conversation on GitHub.
Already have an account?
Sign in to comment
2 participants
Add this suggestion to a batch that can be applied as a single commit.This suggestion is invalid because no changes were made to the code.Suggestions cannot be applied while the pull request is closed.Suggestions cannot be applied while viewing a subset of changes.Only one suggestion per line can be applied in a batch.Add this suggestion to a batch that can be applied as a single commit.Applying suggestions on deleted lines is not supported.You must change the existing code in this line in order to create a valid suggestion.Outdated suggestions cannot be applied.This suggestion has been applied or marked resolved.Suggestions cannot be applied from pending reviews.Suggestions cannot be applied on multi-line comments.Suggestions cannot be applied while the pull request is queued to merge.Suggestion cannot be applied right now. Please check back later.
... under some assumptions on the target category.
We apply this to conclude that condensed sets and light condensed sets are cartesian closed.
Co-authored-by: Sina Hazratpour @sinhp
Co-authored-by: Jon Eugster @joneugster
This is adapted from work done at the Copenhagen masterclass on formalisation of condensed mathematics in 2023.