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feat(CategoryTheory): existence of right derived functors using derivability structures#22508

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joelriou wants to merge 17 commits intomasterfrom
jriou-derivability-structure-pointwise
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feat(CategoryTheory): existence of right derived functors using derivability structures#22508
joelriou wants to merge 17 commits intomasterfrom
jriou-derivability-structure-pointwise

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@joelriou joelriou commented Mar 3, 2025

In this PR, we formalize an existence theorem for right derived functors which appeared in the article Structures de dérivabilité by Bruno Kahn and Georges Maltsiniotis, Adv. Math. 218 (2008).


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@joelriou joelriou added WIP Work in progress t-category-theory Category theory labels Mar 3, 2025
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github-actions bot commented Mar 3, 2025

PR summary 5d11a5f926

Import changes for modified files

No significant changes to the import graph

Import changes for all files
Files Import difference
Mathlib.CategoryTheory.Functor.Derived.PointwiseRightDerived (new file) 474
Mathlib.CategoryTheory.Localization.DerivabilityStructure.PointwiseRightDerived (new file) 643

Declarations diff

+ HasPointwiseRightDerivedFunctor
+ HasPointwiseRightDerivedFunctorAt
+ LeftExtension.isPointwiseLeftKanExtensionOfIsIso
+ hasColimit_comp_iff
+ hasLimit_comp_iff
+ hasLimit_equivalence_comp
+ hasLimit_of_equivalence_comp
+ hasPointwiseLeftKanExtensionAt_iff_of_equivalence
+ hasPointwiseLeftKanExtensionAt_iff_of_iso
+ hasPointwiseLeftKanExtensionAt_iff_of_iso'
+ hasPointwiseLeftKanExtensionAt_of_equivalence
+ hasPointwiseLeftKanExtension_of_hasPointwiseRightDerivedFunctor
+ hasPointwiseRightDerivedFunctorAt_iff
+ hasPointwiseRightDerivedFunctorAt_iff_of_isRightDerivabilityStructure
+ hasPointwiseRightDerivedFunctorAt_iff_of_mem
+ hasPointwiseRightDerivedFunctor_iff_of_isRightDerivabilityStructure
+ hasPointwiseRightDerivedFunctor_of_inverts
+ hasPointwiseRightKanExtensionAt_iff_of_equivalence
+ hasPointwiseRightKanExtensionAt_iff_of_iso
+ hasPointwiseRightKanExtensionAt_iff_of_iso'
+ hasPointwiseRightKanExtensionAt_of_equivalence
+ hasRightDerivedFunctor_of_hasPointwiseRightDerivedFunctor
+ instance :
+ isIso_comp_left_iff
+ isIso_comp_right_iff
+ isIso_α_iff_of_isRightDerivabilityStructure
+ isPointwiseLeftKanExtensionAtEquivOfIso'
+ isPointwiseLeftKanExtensionAtOfIso
+ isPointwiseLeftKanExtensionAtOfIso'
+ isPointwiseLeftKanExtensionOfHasPointwiseRightDerivedFunctor
+ isPointwiseLeftKanExtensionOfIso
+ isPointwiseRightKanExtensionAtEquivOfIso'
+ isPointwiseRightKanExtensionAtOfIso'
+ rightDerivedFunctorComparison
+ rightDerivedFunctorComparison_fac
+ rightDerivedFunctorComparison_fac_app

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).

@mathlib4-dependent-issues-bot mathlib4-dependent-issues-bot added the blocked-by-other-PR This PR depends on another PR (this label is automatically managed by a bot) label Mar 3, 2025
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mathlib4-dependent-issues-bot commented Mar 3, 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 Mar 4, 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 Mar 4, 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 Apr 28, 2025
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This pull request has conflicts, please merge master and resolve them.

@joelriou
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This PR has been migrated to a fork-based workflow: #26374

@joelriou joelriou closed this Jun 24, 2025
@YaelDillies YaelDillies deleted the jriou-derivability-structure-pointwise branch August 17, 2025 11:45
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3 participants