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[Merged by Bors] - feat(CategoryTheory): the retract argument#20666

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[Merged by Bors] - feat(CategoryTheory): the retract argument#20666
joelriou wants to merge 8 commits intomasterfrom
jriou-retract-argument

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@joelriou joelriou commented Jan 11, 2025 •
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In a category, if i ≫ p = f, and f has the left lifting property with respect to p, then f is a retract of i. This statement and its dual are formalised, as well as consequences for classes of morphisms which satisfy HasFactorization W₁ W₂. This is applied to classes of morphisms in model categories in #20210.

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@joelriou joelriou added the t-category-theory Category theory label Jan 11, 2025
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github-actions bot commented Jan 11, 2025 •
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PR summary 9d526b9422

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference
Mathlib.CategoryTheory.MorphismProperty.RetractArgument (new file) 619

Declarations diff

+ RetractArrow.ofLeftLiftingProperty
+ RetractArrow.ofRightLiftingProperty
+ instance (P₁ P₂ : MorphismProperty C)
+ llp_eq_of_le_llp_of_hasFactorization_of_isStableUnderRetracts
+ llp_of_isIso
+ mem_trivialCofibrations_iff
+ mem_trivialFibrations_iff
+ rlp_eq_of_le_rlp_of_hasFactorization_of_isStableUnderRetracts
+ rlp_of_isIso

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).

This was referenced Jan 12, 2025
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@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 Jan 22, 2025
@leanprover-community-bot-assistant leanprover-community-bot-assistant removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Jan 22, 2025
joelriou
joelriou commented Jan 25, 2025
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@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 9, 2025
@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 9, 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 10, 2025
@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 10, 2025
@joelriou joelriou mentioned this pull request Feb 12, 2025
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TwoFX
TwoFX approved these changes Feb 12, 2025
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Thanks!
bors r+

@ghost ghost added the ready-to-merge This PR has been sent to bors. label Feb 12, 2025
mathlib-bors bot pushed a commit that referenced this pull request Feb 12, 2025
@joelriou
feat(CategoryTheory): the retract argument (#20666)
7f06268 
In a category, if `i ≫ p = f`, and `f` has the left lifting property with respect to `p`, then `f` is a retract of `i`. This statement and its dual are formalised, as well as consequences for classes of morphisms which satisfy `HasFactorization W₁ W₂`. This is applied to classes of morphisms in model categories in #20210.



Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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mathlib-bors bot commented Feb 12, 2025

Pull request successfully merged into master.

Build succeeded:

@mathlib-bors mathlib-bors bot changed the title feat(CategoryTheory): the retract argument [Merged by Bors] - feat(CategoryTheory): the retract argument Feb 12, 2025
@mathlib-bors mathlib-bors bot closed this Feb 12, 2025
@mathlib-bors mathlib-bors bot deleted the jriou-retract-argument branch February 12, 2025 15:42
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