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[Merged by Bors] - feat(CategoryTheory): preservation of well order continuous functors#21595

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[Merged by Bors] - feat(CategoryTheory): preservation of well order continuous functors#21595
joelriou wants to merge 3 commits intomasterfrom
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@joelriou joelriou commented Feb 9, 2025 •
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Given a well ordered type J and a functor G : C ⥤ D, we define a type class PreservesWellOrderContinuousOfShape J G saying that G preserves colimits of shape Set.Iio j for any limit element j : J. It follows that if F : J ⥤ C is well order continuous, then so is F ⋙ G.

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@joelriou joelriou added the t-category-theory Category theory label Feb 9, 2025
@joelriou joelriou changed the title feat(CategoryTheory): preserves of well order continuous functors feat(CategoryTheory): preservation of well order continuous functors Feb 9, 2025
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github-actions bot commented Feb 9, 2025 •
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PR summary 8c6da72275

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference
Mathlib.CategoryTheory.Limits.Preserves.Shapes.Preorder (new file) 711

Declarations diff

+ PreservesWellOrderContinuousOfShape
+ instance (F : J ⥤ C) (G : C ⥤ D) [F.IsWellOrderContinuous]
+ instance (G₁ : C ⥤ D) (G₂ : D ⥤ E)
+ instance [HasIterationOfShape J C] (K : Type*) [Category K] (X : K) :
+ preservesColimitsOfShape_fst
+ preservesColimitsOfShape_leftFunc
+ preservesColimitsOfShape_of_preservesWellOrderContinuousOfShape
+ preservesColimitsOfShape_rightFunc
+ preservesColimitsOfShape_snd
++ instance [HasIterationOfShape J C] :

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).

@joelriou joelriou mentioned this pull request Feb 9, 2025
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TwoFX
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Thanks!
bors r+

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Feb 9, 2025
mathlib-bors bot pushed a commit that referenced this pull request Feb 9, 2025
@joelriou
feat(CategoryTheory): preservation of well order continuous functors (#…
442b8e7 
…21595)

Given a well ordered type `J` and a functor `G : C ⥤ D`, we define a type class `PreservesWellOrderContinuousOfShape J G` saying that `G` preserves colimits of shape `Set.Iio j` for any limit element `j : J`. It follows that if `F : J ⥤ C` is well order continuous, then so is `F ⋙ G`.
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mathlib-bors bot commented Feb 9, 2025

Pull request successfully merged into master.

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@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory): preservation of well order continuous functors [Merged by Bors] - feat(CategoryTheory): preservation of well order continuous functors Feb 9, 2025
@mathlib-bors mathlib-bors bot closed this Feb 9, 2025
@mathlib-bors mathlib-bors bot deleted the jriou-limits-comma branch February 9, 2025 18:55
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