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[Merged by Bors] - feat(CategoryTheory/SmallObject): transfinite iteration of a successor structure#21715

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[Merged by Bors] - feat(CategoryTheory/SmallObject): transfinite iteration of a successor structure#21715
joelriou wants to merge 5 commits intomasterfrom
small-object-iteration

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@joelriou joelriou commented Feb 11, 2025 •
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Given a successor structure Φ on a category (which is the data of a zeroth object and a family of morphisms X ⟶ succ X for all X), we define its transfinite iteration Φ.iteration J for any well ordered type J. It is defined at the colimit of the jth iterations for all j : J.

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@joelriou joelriou added the t-category-theory Category theory label Feb 11, 2025
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github-actions bot commented Feb 11, 2025 •
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PR summary 5fd69d0246

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference
Mathlib.CategoryTheory.SmallObject.TransfiniteIteration (new file) 729

Declarations diff

+ arrowMk_iterationFunctor_map
+ instance : (Φ.iterationFunctor J).IsWellOrderContinuous
+ isColimitIterationCocone
+ iter
+ iteration
+ iterationCocone
+ iterationCocone_pt
+ iterationFunctor
+ iterationFunctorObjBotIso
+ iterationFunctorObjSuccIso
+ iterationFunctor_map_succ
+ iterationFunctor_obj
+ prop.fac
+ prop.succ_eq
+ prop_iterationFunctor_map_succ
+ transfiniteCompositionOfShapeιIteration
+ ιIteration
+ ιIterationFunctor

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).

TwoFX
TwoFX approved these changes Feb 11, 2025
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Thanks!
bors d+

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mathlib-bors bot commented Feb 11, 2025

✌️ joelriou can now approve this pull request. To approve and merge a pull request, simply reply with bors r+. More detailed instructions are available here.

@ghost ghost added the delegated This pull request has been delegated to the PR author (or occasionally another non-maintainer). label Feb 11, 2025
joelriou and others added 2 commits February 11, 2025 20:15
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joelriou commented Feb 11, 2025

Thanks!

bors merge

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Feb 11, 2025
mathlib-bors bot pushed a commit that referenced this pull request Feb 11, 2025
@joelriou
feat(CategoryTheory/SmallObject): transfinite iteration of a successo…
0715c2b 
…r structure (#21715)

Given a successor structure `Φ` on a category (which is the data of a zeroth object and a family of morphisms `X ⟶ succ X` for all `X`), we define its transfinite iteration `Φ.iteration J` for any well ordered type `J`. It is defined at the colimit of the `j`th iterations for all `j : J`.



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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mathlib-bors bot commented Feb 11, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory/SmallObject): transfinite iteration of a successor structure [Merged by Bors] - feat(CategoryTheory/SmallObject): transfinite iteration of a successor structure Feb 11, 2025
@mathlib-bors mathlib-bors bot closed this Feb 11, 2025
@mathlib-bors mathlib-bors bot deleted the small-object-iteration branch February 11, 2025 19:40
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