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[Merged by Bors] - feat(CategoryTheory/SmallObject): the functorial factorization#21911

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small-object-10half
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[Merged by Bors] - feat(CategoryTheory/SmallObject): the functorial factorization#21911
joelriou wants to merge 29 commits intomasterfrom
small-object-10half

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@joelriou joelriou commented Feb 15, 2025

The main results in the small object argument are obtained in this PR. If I : MorphismProperty C has a cardinal that is suitable for the small object argument, then any morphism in C can be factored functorialy as a morphism in I.rlp.llp followed by a morphism in I.rlp.


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github-actions bot commented Feb 15, 2025

PR summary 3b266fe1ac

Import changes for modified files

Dependency changes

File Base Count Head Count Change
Mathlib.CategoryTheory.SmallObject.IsCardinalForSmallObjectArgument 866 871 +5 (+0.58%)
Import changes for all files
Files Import difference
Mathlib.CategoryTheory.SmallObject.IsCardinalForSmallObjectArgument 5

Declarations diff

+ functorialFactorizationData
+ hasFunctorialFactorization
+ hasRightLiftingProperty_πObj
+ instance (f : Arrow C) : IsIso ((ιIteration I κ).app f).right
+ instance {j₁ j₂ : κ.ord.toType} (φ : j₁ ⟶ j₂) (f : Arrow C) :
+ iterationFunctorMapSuccAppArrowIso
+ iterationFunctorMapSuccAppArrowIso_hom_left
+ iterationFunctorMapSuccAppArrowIso_hom_right_right_comp
+ iterationFunctorObjObjRightIso
+ iterationFunctorObjObjRightIso_ιIteration_app_right
+ iterationObjRightIso
+ llp_rlp_ιObj
+ obj
+ objMap
+ objMap_comp
+ objMap_id
+ prop_iterationFunctor_map_succ
+ relativeCellComplexιObj
+ relativeCellComplexιObjFObjSuccIso
+ retracts_transfiniteComposition_pushouts_coproducts_le_llp_rlp
+ retracts_transfiniteCompositionsOfShape_pushouts_coproducts_le_llp_rlp
+ rlp_πObj
+ transfiniteCompositionsOfShape_pushouts_coproducts_le_llp_rlp
+ transfiniteCompositionsOfShape_ιObj
+ transfiniteCompositions_pushouts_coproducts_le_llp_rlp
+ ιFunctorObj_eq
+ ιObj
+ ιObj_naturality
+ ιObj_πObj
+ πFunctorObj_eq
+ πObj
+ πObj_naturality
+ πObj_ιIteration_app_right

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 changed the title feat(CategoryTheory/SmallObject): the functoration factorization feat(CategoryTheory/SmallObject): the functorial factorization Feb 15, 2025
@leanprover-community-bot-assistant leanprover-community-bot-assistant added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Feb 15, 2025
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@github-actions github-actions bot removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Feb 15, 2025
@joelriou joelriou added the WIP Work in progress label Feb 15, 2025
@joelriou joelriou removed the WIP Work in progress label Feb 15, 2025
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Thanks!
bors r+

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Feb 15, 2025
mathlib-bors bot pushed a commit that referenced this pull request Feb 15, 2025
The main results in the small object argument are obtained in this PR. If `I : MorphismProperty C` has a cardinal that is suitable for the small object argument, then any morphism in `C` can be factored functorialy as a morphism in `I.rlp.llp` followed by a morphism in `I.rlp`.



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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mathlib-bors bot commented Feb 15, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory/SmallObject): the functorial factorization [Merged by Bors] - feat(CategoryTheory/SmallObject): the functorial factorization Feb 15, 2025
@mathlib-bors mathlib-bors bot closed this Feb 15, 2025
@mathlib-bors mathlib-bors bot deleted the small-object-10half branch February 15, 2025 18:23
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