feat(CategoryTheory): characterization of κ-filtered categories

[joelriou]

We characterize a concrete characterization of κ-filtered categories in terms of the existence of an upper bound of a κ-bounded family objects, and the coequalization of a κ-bounded family of morphisms between fixed objects.

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• depends on: feat(SetTheory): more API for HasCardinalLT #30633
• depends on: feat(CategoryTheory): κ-filtered categories are stable under products #30634

[github-actions]

PR summary 2c2e85688c

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

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Declarations diff

+ IsCardinalFiltered.multicoequalizer
+ IsRegular.lift
+ hasCardinalLT_iUnion
+ hasCardinalLT_lift_iff
+ hasCardinalLT_of_finite
+ hasCardinalLT_prod
+ hasCardinalLT_prod'
+ hasCardinalLT_sigma
+ hasCardinalLT_sigma'
+ hasCardinalLT_subtype_iSup
+ hasCardinalLT_subtype_max
+ hasCardinalLT_ulift_iff
+ hasCardinalLT_union
+ isCardinalFiltered_iff
+ isCardinalFiltered_iff_aux₁
+ isCardinalFiltered_iff_aux₂
+ isCardinalFiltered_pi
+ isCardinalFiltered_prod
+ isRegular_lift_iff
+ wideSpan

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.

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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]

This PR/issue depends on:

• feat(SetTheory): more API for HasCardinalLT #30633
• feat(CategoryTheory): κ-filtered categories are stable under products #30634
  By Dependent Issues (🤖). Happy coding!